From e6c900e19fdb4d2bbc5b721df154740ed0e9d2b6 Mon Sep 17 00:00:00 2001
From: wangweiye7840 <kj_wangweiye@126.com>
Date: Wed, 3 Jan 2024 15:46:47 +0800
Subject: [PATCH] =?UTF-8?q?=E5=BD=95=E5=85=A52026=E5=B1=8A=E9=83=A8?=
 =?UTF-8?q?=E5=88=86=E6=9D=90=E6=96=99=E7=AD=94=E6=A1=88?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 题库0.3/Problems.json | 794 +++++++++++++++++++++---------------------
 1 file changed, 397 insertions(+), 397 deletions(-)

diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json
index c10434b0..655d7ab6 100644
--- a/题库0.3/Problems.json
+++ b/题库0.3/Problems.json
@@ -46,7 +46,7 @@
             "第一单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $\\{(x,y)|y=x, \\ x\\ge 0\\}$; (2) $\\{y|y=3n, \\ n\\in \\mathbf{Z}\\}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -130,7 +130,7 @@
             "第一单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$\\varnothing,\\{1\\},\\{4\\},\\{-5\\},\\{1,4\\},\\{1,-5\\},\\{4,-5\\},\\{1,4,-5\\}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -169,7 +169,7 @@
             "第一单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$A\\cup B=(-\\infty,-2)\\cup (-2,+\\infty)$; (2) $A\\cap B=\\varnothing$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -208,7 +208,7 @@
             "第一单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$(-\\infty,-1]\\cup [2,3)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -246,7 +246,7 @@
             "第一单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$p=2$, $q=1$, $r=-2$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -295,7 +295,7 @@
             "第一单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(-\\infty,1)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -378,7 +378,7 @@
             "第一单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "证明略",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -415,7 +415,7 @@
             "第一单元"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "C",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -480,7 +480,7 @@
             "第一单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\{3,5,11,13\\}$, $\\{7,11,13,19\\}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -517,7 +517,7 @@
             "第一单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$(-\\infty,3]$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -555,7 +555,7 @@
             "第一单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$(-\\infty,-2)\\cup [5,+\\infty)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -595,7 +595,7 @@
             "第一单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$a=1$, 两个子集为$\\varnothing,\\dfrac{2}{3}$, 或者$a=-\\dfrac{1}{8}$, 两个子集为$\\varnothing,\\dfrac{4}{3}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -634,7 +634,7 @@
             "第一单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "证明略",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -719,7 +719,7 @@
             "第一单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $0$; (2) $\\{0\\}$; (3) $S=\\{n|n=5k, \\ k\\in \\mathbf{Z}\\}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -798,7 +798,7 @@
             "第一单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$\\dfrac{b+2a}{a+2b}<\\dfrac ab$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -920,7 +920,7 @@
             "第一单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $(-\\infty,-3)\\cup (5,+\\infty)$; (2) $(-\\dfrac{2}{3},5)$; (3) $[\\dfrac{3-\\sqrt{19}}{5},\\dfrac{3+\\sqrt{19}}{5}]$; (4) $[-4-2\\sqrt{6},-4+2\\sqrt{6}]$; (5) $\\{9\\}$; (6) $\\mathbf{R}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -982,7 +982,7 @@
             "第一单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$3,4,5$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -1022,7 +1022,7 @@
             "第一单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $(-\\infty,-7)\\cup (-\\dfrac{22}{5},+\\infty)$; (2) $[1,2]$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -1084,7 +1084,7 @@
             "第一单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $[\\dfrac{1}{3},1]$; (2) $(-\\dfrac{7}{3},3)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -1170,7 +1170,7 @@
             "第一单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $M(\\dfrac{a+b}{2},0)$, $|MQ|=|\\dfrac{a+b}{2}|$, $|MN|=\\dfrac{1}{2}(|a|+|b|)$; (2) $|\\dfrac{a+b}{2}|\\le \\dfrac{1}{2}(|a|+|b|)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -1255,7 +1255,7 @@
             "第一单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$(-3,-1]$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -1338,7 +1338,7 @@
             "第一单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $(-\\infty,-\\dfrac{3}{4})\\cup [-\\dfrac{1}{3},+\\infty)$; (2) $[-4,-3)\\cup (1,2]$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -1377,7 +1377,7 @@
             "第一单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$[0,1]$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -1416,7 +1416,7 @@
             "第一单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "证明略, 等号成立的条件为$x=0$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -1453,7 +1453,7 @@
             "第一单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$2$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -1514,7 +1514,7 @@
             "第一单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$\\dfrac{1}{4}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -1589,7 +1589,7 @@
             "第一单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) 证明略, 等号成立的条件为$a=b=0$; (2) 证明略",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -1627,7 +1627,7 @@
             "第一单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $(-\\infty,3)\\cup (3,4]\\cup [5,+\\infty)$; (2) $(-\\infty,\\dfrac{2}{3}]\\cup [4,+\\infty)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -1666,7 +1666,7 @@
             "第一单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$p=-1$, $q=-6$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -1912,7 +1912,7 @@
             "第二单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $1$; (2) $8$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -2090,7 +2090,7 @@
             "第二单元"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "B",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -2271,7 +2271,7 @@
             "第二单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$4$与$8$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -2401,7 +2401,7 @@
             "第二单元"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "(1) C; (2) C",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -2443,7 +2443,7 @@
             "第二单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $[1,+\\infty)$; (2) $[1,+\\infty)$; (3) $(-1,1)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -2545,7 +2545,7 @@
             "第二单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$c<a<b$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -2583,7 +2583,7 @@
             "第二单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$2$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -2621,7 +2621,7 @@
             "第二单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "至少需要$11$块",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -2707,7 +2707,7 @@
             "第二单元"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "(1) B; (2) A",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -2782,7 +2782,7 @@
             "第二单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "大致图像: \\begin{tikzpicture}[>=latex, scale = 0.5]\n\\draw [->] (-2,0) -- (3,0) node [below] {$x$};\n\\draw [->] (0,-0.5) -- (0,3) node [left] {$y$};\n\\draw (0,0) node [below left] {$O$};\n\\draw [domain = 0:3, samples = 100] plot (\\x,{sqrt(\\x)});\n\\draw [domain = {-ln(3)/ln(2)}:3, samples = 100] plot (\\x,{exp(\\x*ln(1/2))});\n\\end{tikzpicture}, 1个",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -2822,7 +2822,7 @@
             "第二单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$\\{1\\}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -2912,7 +2912,7 @@
             "第二单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$(-\\infty,-1]\\cup [1,2)\\cup (2,+\\infty)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -2944,7 +2944,7 @@
             "第二单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) 偶函数, 理由略; (2) 奇函数, 理由略; (3) 当$k=-2$时, 是偶函数; 当$k\\ne -2$($k<2$)时, 既不是奇函数, 又不是偶函数",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -2974,7 +2974,7 @@
             "第二单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$m=1$, $n=2$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -3028,7 +3028,7 @@
             "第二单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) \\begin{tikzpicture}[>=latex, scale = 0.5]\n\\draw [->] (-1,0) -- (5,0) node [below] {$x$};\n\\draw [->] (0,-1) -- (0,5) node [left] {$y$};\n\\draw (0,0) node [below left] {$O$};\n\\draw [domain = -1:5, samples = 200] plot (\\x,{abs(\\x*\\x-4*\\x)});\n\\end{tikzpicture}, 在$(-\\infty,0]$和$[2,4]$上是严格减函数, 在$[0,2]$和$[4,+\\infty)$上是严格增函数;\\\\\n(2) \\begin{tikzpicture}[>=latex, scale = 0.5]\n\\draw [->] (-3.5,0) -- (3.5,0) node [below] {$x$};\n\\draw [->] (0,-3.5) -- (0,3.5) node [left] {$y$};\n\\draw (0,0) node [below left] {$O$};\n\\draw (-3,3) -- (0,-3) -- (3,3);\n\\end{tikzpicture}, 在$(-\\infty,0]$上是严格减函数, 在$[0,+\\infty)$上是严格增函数",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -3056,7 +3056,7 @@
             "第二单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$f(2)<f(-1)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -3085,7 +3085,7 @@
             "第二单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$-4$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -3134,7 +3134,7 @@
             "第二单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$[1,19)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -3162,7 +3162,7 @@
             "第二单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "是奇函数, 理由略",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -3289,7 +3289,7 @@
             "第二单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$(0,1)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -10113,7 +10113,7 @@
             "第四单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "(1) \\textcircled{1}\\textcircled{2}\\textcircled{3}; (2) \\textcircled{1}\\textcircled{3}",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -10138,7 +10138,7 @@
             "第四单元"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "(1) B; (2) D",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -10189,7 +10189,7 @@
             "第四单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$a_n=3n-9$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -10214,7 +10214,7 @@
             "第四单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "证明略",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -10360,7 +10360,7 @@
             "第四单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "证明略",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -10415,7 +10415,7 @@
             "第四单元"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "(1) B; (2) D",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -10695,7 +10695,7 @@
             "第四单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $\\dfrac{4^{n-1}}{3^{n-2}}$; (2) $\\dfrac{2\\sqrt{3}}{5}-\\dfrac{\\sqrt{3}}{5}\\cdot \\dfrac{4^{n-2}}{3^{2n-3}}$; (3) 是的, 面积的极限是$\\dfrac{2\\sqrt{3}}{5}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -41882,7 +41882,7 @@
             "第二单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(-\\infty,0)\\cup (0,1)\\cup (1,+\\infty)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -44514,7 +44514,7 @@
             "第二单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "证明略",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -56504,7 +56504,7 @@
             "第四单元"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "D",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -56626,7 +56626,7 @@
             "第四单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "(1) $n^2$; (2) $\\dfrac{17}{13}$; (3) $11$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -92114,7 +92114,7 @@
             "第二单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$y=\\begin{cases}-\\log_2 x, & 0<x<\\dfrac{1}{2}, \\\\ 1-\\sqrt{x-1}, & x\\ge 1\\end{cases}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -92618,7 +92618,7 @@
             "第二单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{1}{2}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -94048,7 +94048,7 @@
             "第二单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$5.28$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -101153,7 +101153,7 @@
             "第四单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$2^{2-n}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -101407,7 +101407,7 @@
             "第四单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$2\\sqrt{3}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -124373,7 +124373,7 @@
             "第二单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$-1$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -134955,7 +134955,7 @@
             "第二单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$[1,+\\infty)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -152439,7 +152439,7 @@
             "第一单元"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "C",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -152867,7 +152867,7 @@
             "第一单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) 证明略; (2) 证明略",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -167284,7 +167284,7 @@
             "第二单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{1}{4}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -167651,7 +167651,7 @@
             "第二单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$3$或$\\dfrac{1}{3}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -224780,7 +224780,7 @@
             "第二单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "当$t\\le 0$时, $y_{\\min}=-3$, $y_{\\max}=t^2-4t+1$; 当$0\\le t\\le 2$时, $y_{\\min}=-3$, $y_{\\max}=1$; 当$2\\le t<4$时, $y_{\\min}=t^2-4t+1$, $y_{\\max}=1$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -225581,7 +225581,7 @@
             "第二单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $0,\\sqrt{3}$与$-\\sqrt{3}$; (2) 证明略; (3) 不存在, 理由略",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -275307,7 +275307,7 @@
             "第四单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $n=1$时未验证; (2) 未用到归纳假设",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -275460,7 +275460,7 @@
             "第四单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$-2,-1.5,-1.4167,-1.4142,-1.4142$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -275484,7 +275484,7 @@
             "第四单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$-2, 0, 2, 1.3333, 1.4286,1.4118, 1.4146, 1.4141$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -275508,7 +275508,7 @@
             "第四单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "递推公式可以是$x_{n+1}=\\dfrac{1}{2}(x_n+\\dfrac{3}{x_n})$, 前$5$项依次为$1, 2, 1.75, 1.7321, 1.7321$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -299246,7 +299246,7 @@
             "第四单元"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "C",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -447319,7 +447319,7 @@
             "第四单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $a_1=1$, $a_2=\\dfrac{3}{2}$, $a_3=\\dfrac{7}{4}$, $a_4=\\dfrac{15}{7}$, 猜$a_n=2-2^{1-n}$; (2) 证明略",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -489973,7 +489973,7 @@
             "第四单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "证明略",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -490017,7 +490017,7 @@
             "第四单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{1}{2^n+1}+\\dfrac{1}{2^n+2}+\\cdots+\\dfrac{1}{2^{n+1}}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -490039,7 +490039,7 @@
             "第四单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "证明略",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -490215,7 +490215,7 @@
             "第四单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "递推公式可以是$x_{n+1}=\\dfrac{1}{2}(x_n+\\dfrac{3}{x_n})$, 前$5$项依次为$1, 2, 1.75, 1.7321, 1.7321$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -490237,7 +490237,7 @@
             "第四单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "递推公式可以是$x_{n+1}=\\dfrac{2}{3}x_n+\\dfrac{2}{3x_n^2}$, 前$5$项依次为$1, 1.3333, 1.2639, 1.2599, 1.2599$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -490259,7 +490259,7 @@
             "第四单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "递推公式可以是$x_{n+1}=\\dfrac{1}{2}(x_n+\\dfrac{5}{x_n})$, 前$5$项依次为$1, 3, 2.3333, 2.2381, 2.2361$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -512322,7 +512322,7 @@
             "第四单元"
         ],
         "genre": "4em",
-        "ans": "",
+        "ans": "递推公式可以是$x_{n+1}=\\dfrac{3}{4}x_n+\\dfrac{1}{2x_n^3}$, 前$5$项依次为$1, 1.25, 1.1935, 1.1892, 1.1892$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -523450,7 +523450,7 @@
             "第一单元"
         ],
         "genre": "4em",
-        "ans": "",
+        "ans": "证明略",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -523527,7 +523527,7 @@
         "objs": [],
         "tags": [],
         "genre": "",
-        "ans": "",
+        "ans": "(1) C; (2) A; (3) B; (4) C; (5) A; (6) A; (7) C; (8) B; (9) C; (10) D; (11) A; (12) C",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -524279,7 +524279,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{\\sqrt{7}}{2}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -524302,7 +524302,7 @@
         "objs": [],
         "tags": [],
         "genre": "选择题",
-        "ans": "",
+        "ans": "B",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -524325,7 +524325,7 @@
         "objs": [],
         "tags": [],
         "genre": "选择题",
-        "ans": "",
+        "ans": "C",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -525409,7 +525409,7 @@
         "objs": [],
         "tags": [],
         "genre": "4em",
-        "ans": "",
+        "ans": "(1) $(-\\infty,-1)\\cup (3,+\\infty)$; (2) 当$a<2$时, 解集为$(2,+\\infty)$; 当$a=2$时, 解集为$\\varnothing$; 当$a>2$时, 解集为$(-\\infty,2)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -525445,7 +525445,7 @@
         "objs": [],
         "tags": [],
         "genre": "4em",
-        "ans": "",
+        "ans": "证明略",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -525481,7 +525481,7 @@
         "objs": [],
         "tags": [],
         "genre": "4em",
-        "ans": "",
+        "ans": "(1) $4$; (2) $\\sqrt{6}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -526251,7 +526251,7 @@
         "objs": [],
         "tags": [],
         "genre": "",
-        "ans": "",
+        "ans": "$1,2,3$或$4$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -526314,7 +526314,7 @@
             "第二单元"
         ],
         "genre": "",
-        "ans": "",
+        "ans": "(1) $(-\\dfrac{1}{3},3)$; (2) $(\\dfrac{1}{3},+\\infty)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -526350,7 +526350,7 @@
         "objs": [],
         "tags": [],
         "genre": "4em",
-        "ans": "",
+        "ans": "$(-\\infty,-\\dfrac{9+\\sqrt{33}}{2})$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -526388,7 +526388,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$[1,+\\infty)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -526701,7 +526701,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(1,3)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -526734,7 +526734,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$2$或$-1$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -526767,7 +526767,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\{1,3\\}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -526800,7 +526800,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{2-a}{a+b}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -526833,7 +526833,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$3$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -526866,7 +526866,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{5-\\sqrt{5}}{2}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -526899,7 +526899,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(-\\infty,-1]\\cup (\\dfrac{5}{3},+\\infty)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -526932,7 +526932,7 @@
         "objs": [],
         "tags": [],
         "genre": "选择题",
-        "ans": "",
+        "ans": "A",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -526965,7 +526965,7 @@
         "objs": [],
         "tags": [],
         "genre": "选择题",
-        "ans": "",
+        "ans": "B",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -526998,7 +526998,7 @@
         "objs": [],
         "tags": [],
         "genre": "解答题",
-        "ans": "",
+        "ans": "函数$y=x^{-4}$的图像向右平移$1$个单位, 再向上平移$2$个单位后得到$y=(x-1)^{-4}+2$的图像, 大致图像为: \\begin{tikzpicture}[>=latex, scale = 0.5]\n\\draw [->] (-3,0) -- (5,0) node [below] {$x$};\n\\draw [->] (0,-0.5) -- (0,6) node [left] {$y$};\n\\draw (0,0) node [below left] {$O$};\n\\draw [dashed] (-3,2) -- (5,2) (1,-0.5) -- (1,6);\n\\draw [domain = -3:{1-sqrt(2)/2}, samples = 100] plot (\\x,{1/(\\x-1)/(\\x-1)/(\\x-1)/(\\x-1)+2});\n\\draw [domain = {1+sqrt(2)/2}:5, samples = 100] plot (\\x,{1/(\\x-1)/(\\x-1)/(\\x-1)/(\\x-1)+2});\n\\end{tikzpicture}",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -527031,7 +527031,7 @@
         "objs": [],
         "tags": [],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$-\\dfrac{1}{4}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -529162,7 +529162,7 @@
         "objs": [],
         "tags": [],
         "genre": "",
-        "ans": "",
+        "ans": "$(-\\infty,3)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -529198,7 +529198,7 @@
         "objs": [],
         "tags": [],
         "genre": "4em",
-        "ans": "",
+        "ans": "(1) 既不是奇函数, 又不是偶函数, 理由略; (2) 奇函数, 理由略; (3) 当$a\\ne 0$时, 既不是奇函数, 又不是偶函数, 理由略; 当$a=0$时, 是偶函数, 理由略; (4) 当$n=0$时, 既是奇函数, 又是偶函数, 理由略; 当$n$为非零偶数时, 是偶函数, 理由略; 当$n$为奇数时, 是奇函数, 理由略; (5) 奇函数, 理由略",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -532538,7 +532538,7 @@
             "第一单元"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "B",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -541288,7 +541288,7 @@
             "第三章"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "如$bc+2ac=3ab$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -541716,7 +541716,7 @@
             "第二单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$-2$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -543538,7 +543538,7 @@
             "第二单元"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "C",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -547206,7 +547206,7 @@
             "第二单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "最大值为$\\begin{cases}-a^2-2a+1, & a\\le -1, \\\\ 2, & -1\\le a\\le 1, \\\\ -a^2+2a+1, & a\\ge 1,\\end{cases}$ 最小值为$\\begin{cases}-a^2+2a+1, & a\\le 0, \\\\ -a^2-2a+1, & a\\ge 0\\end{cases}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -552526,7 +552526,7 @@
             "第四单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$a_n=(3n-1)\\cdot 2^{n-2}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -552584,7 +552584,7 @@
             "第四单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$a_n=\\begin{cases}3, & n=1, \\\\ 2n, & n\\ge 2\\end{cases}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -552740,7 +552740,7 @@
             "第四单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$2$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -552774,7 +552774,7 @@
             "第四单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$1+2+3+4+5$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -552852,7 +552852,7 @@
             "第四单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "证明略",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -552886,7 +552886,7 @@
             "第四单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{1}{(2k+1)(2k+2)}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -552920,7 +552920,7 @@
             "第四单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{1}{2^k+1}+\\dfrac{1}{2^k+2}+\\cdots+\\dfrac{1}{2^{k+1}}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -552954,7 +552954,7 @@
             "第四单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "证明略",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -552988,7 +552988,7 @@
             "第四单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$1+\\dfrac{1}{4}<\\dfrac{3}{2}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -594845,7 +594845,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$[-6,7]$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -594898,7 +594898,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$[0,\\dfrac{1}{2})$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -594931,7 +594931,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(-\\infty,-4]$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -594964,7 +594964,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(-\\infty,\\dfrac{1}{2})\\cup (3,+\\infty)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -594997,7 +594997,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(-2,1)$, $(-\\infty,0]$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -595070,7 +595070,7 @@
         "objs": [],
         "tags": [],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$(0,\\dfrac{1}{16}]\\cup [\\dfrac{1}{4},+\\infty)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -595103,7 +595103,7 @@
         "objs": [],
         "tags": [],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $(0,1)$; (2) $(-1,0]\\cup [1,+\\infty)$; (3) $(-1,+\\infty)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -595138,7 +595138,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "必要非充分",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -595173,7 +595173,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "充分非必要",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -595326,7 +595326,7 @@
         "objs": [],
         "tags": [],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$\\{2,26\\}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -595539,7 +595539,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "\\textcircled{2}\\textcircled{3}",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -595572,7 +595572,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$a=2$且$b=-1$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -595605,7 +595605,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$0$, $2$, $3$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -595638,7 +595638,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$-\\dfrac{4}{3}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -595671,7 +595671,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$-2$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -595704,7 +595704,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$-20$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -595737,7 +595737,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "\\textcircled{1}\\textcircled{4}\\textcircled{6}",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -595842,7 +595842,7 @@
         "objs": [],
         "tags": [],
         "genre": "解答题",
-        "ans": "",
+        "ans": "当$a<1$时, 解集为$\\varnothing$; 当$a=1$时, 解集为$\\{1\\}$; 当$a>1$时, 解集为$\\{a,2-a\\}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -595875,7 +595875,7 @@
         "objs": [],
         "tags": [],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $(-1,+\\infty)$; (2) $3$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -595948,7 +595948,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\{-5,3\\}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -596033,7 +596033,7 @@
         "objs": [],
         "tags": [],
         "genre": "解答题",
-        "ans": "",
+        "ans": "当$a=2$时, 解集为$\\{(x,y)|y=-x+\\dfrac{3}{2}, \\ x\\in \\mathbf{R}\\}$; 当$a=-1$时, 解集为$\\varnothing$; 当$a\\ne 2$且$a\\ne -1$时, 解集为$\\{(\\dfrac{a+2}{a+1},\\dfrac{1}{2a+2})\\}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -596086,7 +596086,7 @@
         "objs": [],
         "tags": [],
         "genre": "解答题",
-        "ans": "",
+        "ans": "当$a=2$时, $a<b=c$; 当$a\\ne 2$时, $a<b<c$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -596119,7 +596119,7 @@
         "objs": [],
         "tags": [],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $a=-2$, $b=\\dfrac{1}{3}$; (2) $b>0$且$ab+1=0$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -596152,7 +596152,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "(1) T; (2) F; (3) F; (4) F; (5) F; (6) T; (7) F; (8) F",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -596176,7 +596176,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$2$, $1$, $-2$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -596199,7 +596199,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(-\\infty,2)\\cup (2,+\\infty)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -596222,7 +596222,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$3$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -596245,7 +596245,7 @@
         "objs": [],
         "tags": [],
         "genre": "解答题",
-        "ans": "",
+        "ans": "当$m>1$时, 解集为$(-\\infty,-\\dfrac{m}{m-1}]$; 当$m=1$时, 解集为$\\varnothing$; 当$m<1$时, 解集为$[-\\dfrac{m}{m-1},+\\infty)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -596508,7 +596508,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "(1) $(-\\infty,-5)\\cup (3,+\\infty)$; (2) $(-\\infty,-9]\\cup [5,+\\infty)$; (3) $\\varnothing$; (4) $\\{-6\\}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -596581,7 +596581,7 @@
         "objs": [],
         "tags": [],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$[-\\dfrac{1}{3},1]$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -596614,7 +596614,7 @@
         "objs": [],
         "tags": [],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $(-\\infty,-\\dfrac{1}{4})$; (2) $(-\\infty,0]$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -596648,7 +596648,7 @@
         "objs": [],
         "tags": [],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $[\\dfrac{a-\\sqrt{a^2-4}}{2},\\dfrac{a+\\sqrt{a^2-4}}{2}]$; (2) 当$a<0$时, 解集为$(\\dfrac{2}{a},2)$; 当$0<a\\le 1$时, 解集为$(-\\infty,2)\\cup (\\dfrac{2}{a},+\\infty)$; 当$a\\ge 1$时, 解集为$(-\\infty,\\dfrac{2}{a})\\cup (2,+\\infty)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -596682,7 +596682,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "(1) $(-\\dfrac{3}{2},2)$; (2) $[-\\dfrac{3}{2},-\\dfrac{5}{4})$; (3) $\\{0\\}\\cup (1,+\\infty)$; (4) $(-\\infty,0)\\cup (1,+\\infty)$; (5) $(-2,4)\\cup (4,+\\infty)$; (6) $[-1,1)\\cup [3,+\\infty)$; (7) $(-\\infty,-3]\\cup (-1,1]$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -596735,7 +596735,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(-\\infty,\\dfrac{1-\\sqrt{3}}{2})$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -596768,7 +596768,7 @@
         "objs": [],
         "tags": [],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$(-\\infty,\\dfrac{1}{3}]\\cup (1,+\\infty)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -596801,7 +596801,7 @@
         "objs": [],
         "tags": [],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $[\\dfrac{1}{2},2]$; (2) $[2,+\\infty)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -596894,7 +596894,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$[-1,\\dfrac{1}{2}]$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -596928,7 +596928,7 @@
         "objs": [],
         "tags": [],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$[0,4]$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -597401,7 +597401,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$[-1,7]$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -597433,7 +597433,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(-3,3)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -597465,7 +597465,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\sqrt{6}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -597497,7 +597497,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$-2$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -597529,7 +597529,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{1}{24}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -597561,7 +597561,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{1}{2}$, $\\dfrac{\\sqrt{2}}{2}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -597593,7 +597593,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\sqrt{ab}$, $\\dfrac{a+b}{2}$, $\\sqrt{\\dfrac{a^2+b^2}{2}}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -597645,7 +597645,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(-\\infty,\\dfrac{1-3\\sqrt{2}}{2})$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -597677,7 +597677,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(-\\infty,1)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -597709,7 +597709,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(2,+\\infty)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -597741,7 +597741,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$9$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -597793,7 +597793,7 @@
         "objs": [],
         "tags": [],
         "genre": "选择题",
-        "ans": "",
+        "ans": "B",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -598005,7 +598005,7 @@
         "objs": [],
         "tags": [],
         "genre": "解答题",
-        "ans": "",
+        "ans": "甲错误, 等号取不到",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -598037,7 +598037,7 @@
         "objs": [],
         "tags": [],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) 证明略; (2) 证明略; (3) 证明略",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -598289,7 +598289,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$x^{-\\frac{1}{2}}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -598321,7 +598321,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(\\dfrac{1}{10},10)\\cup (10,+\\infty)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -598353,7 +598353,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(5,6)\\cup (6,9)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -598385,7 +598385,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$-9a$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -598417,7 +598417,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "必要非充分",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -598449,7 +598449,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$32$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -598481,7 +598481,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\{\\pm\\dfrac{1}{2}\\}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -598513,7 +598513,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "(1) $2$; (2) $-\\dfrac{3}{2}$; (3) $\\dfrac{5}{6}$; (4) $2-\\sqrt{3}$; (5) $1$; (6) $2^{\\frac{1}{4}}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -598545,7 +598545,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "(1) $\\dfrac{2a}{1+2a}$; (2) $\\dfrac{3-3b}{3b-1}$; (3) $\\dfrac{ab}{a+b}$; (4) $-\\dfrac{1}{7}a+\\dfrac{5}{7}b$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -598577,7 +598577,7 @@
         "objs": [],
         "tags": [],
         "genre": "选择题",
-        "ans": "",
+        "ans": "D",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -598610,7 +598610,7 @@
         "objs": [],
         "tags": [],
         "genre": "选择题",
-        "ans": "",
+        "ans": "B",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -598683,7 +598683,7 @@
         "objs": [],
         "tags": [],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$9$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -598715,7 +598715,7 @@
         "objs": [],
         "tags": [],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$\\dfrac{1}{3}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -598747,7 +598747,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "\\textcircled{3}",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -598779,7 +598779,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "\\textcircled{4}",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -598812,7 +598812,7 @@
         "objs": [],
         "tags": [],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$-4$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -599144,7 +599144,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$1$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -599198,7 +599198,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "(1) $(-\\infty,0)\\cup (0,+\\infty)$; (2) $(0,+\\infty)$; (3) $[0,+\\infty)$; (4) $\\mathbf{R}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -599231,7 +599231,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$1$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -599264,7 +599264,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$-1$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -599319,7 +599319,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "\\textcircled{1}\\textcircled{4}",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -599372,7 +599372,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "充分非必要",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -599406,7 +599406,7 @@
         "objs": [],
         "tags": [],
         "genre": "选择题",
-        "ans": "",
+        "ans": "B",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -599460,7 +599460,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(-\\infty,1)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -599513,7 +599513,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "(1) C; (2) A; (3) B; (4) D",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -599586,7 +599586,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(-\\infty,-1)\\cup (-1,\\dfrac{2}{3})\\cup (4,+\\infty)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -599681,7 +599681,7 @@
         "objs": [],
         "tags": [],
         "genre": "解答题",
-        "ans": "",
+        "ans": "\\begin{tikzpicture}[>=latex, scale = 0.5]\n\\draw [->] (-6,0) -- (2,0) node [below] {$x$};\n\\draw [->] (0,-0.5) -- (0,5) node [left] {$y$};\n\\draw (0,0) node [below left] {$O$};\n\\draw [dashed] (-6,1) -- (2,1) (-2,-0.5) -- (-2,5);\n\\draw [domain = -6:{1/2 *(-4 - sqrt(2))}, samples = 100] plot (\\x,{1+2/(\\x+2)/(\\x+2)});\n\\draw [domain = {1/2 *(-4 + sqrt(2))}:2, samples = 100] plot (\\x,{1+2/(\\x+2)/(\\x+2)});\n\\end{tikzpicture}, $y_1>y_2$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -599874,7 +599874,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "右, 上(或上, 右)",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -599928,7 +599928,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$0$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -599961,7 +599961,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$0$或$4$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -600136,7 +600136,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(3,4)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -600209,7 +600209,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(1,3)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -600262,7 +600262,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(-\\sqrt{2},-1)\\cup (1,\\sqrt{2})$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -600335,7 +600335,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "\\textcircled{2}, \\textcircled{1}, \\textcircled{3}, \\textcircled{5}, \\textcircled{4}, \\textcircled{6}",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -600428,7 +600428,7 @@
         "objs": [],
         "tags": [],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$68$天",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -600663,7 +600663,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$[2,8]$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -600696,7 +600696,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$[2,3]\\cup [5,6)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -600729,7 +600729,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(2,+\\infty)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -600762,7 +600762,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$25$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -600816,7 +600816,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$y=\\sqrt{2x+3}$, $[0,+\\infty$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -600849,7 +600849,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$[-17,-5)\\cup (-5,7)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -600902,7 +600902,7 @@
         "objs": [],
         "tags": [],
         "genre": "选择题",
-        "ans": "",
+        "ans": "C",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -600935,7 +600935,7 @@
         "objs": [],
         "tags": [],
         "genre": "选择题",
-        "ans": "",
+        "ans": "A",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -600968,7 +600968,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$-8$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -601001,7 +601001,7 @@
         "objs": [],
         "tags": [],
         "genre": "选择题",
-        "ans": "",
+        "ans": "A",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -601054,7 +601054,7 @@
         "objs": [],
         "tags": [],
         "genre": "选择题",
-        "ans": "",
+        "ans": "D",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -601171,7 +601171,7 @@
         "objs": [],
         "tags": [],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $F(x)=\\begin{cases}2x, & 0\\le x\\le \\sqrt{5}-2, \\\\ (x-1)^2, & \\sqrt{5}-2\\le x\\le 1\\end{cases}$; (2) $[0,2\\sqrt{5}-4]$; (3) $\\{\\dfrac{1}{6},1-\\dfrac{\\sqrt{3}}{3}\\}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -601286,7 +601286,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$-2$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -601319,7 +601319,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(-\\infty,-1)\\cup (-1,0)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -601434,7 +601434,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(\\dfrac{2}{3},1)\\cup (1,+\\infty)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -601507,7 +601507,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(2,+\\infty)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -601540,7 +601540,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\mathbf{R}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -601573,7 +601573,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$b=0$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -601606,7 +601606,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(-\\infty,1)$和$(1,+\\infty)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -601639,7 +601639,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$[-\\dfrac{9}{8},14]$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -601672,7 +601672,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(5,+\\infty)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -601705,7 +601705,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$[-1,\\dfrac{1}{4}]$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -601738,7 +601738,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(-\\dfrac{1}{2},\\dfrac{1}{3})\\cup (1,\\dfrac{3}{2})$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -601771,7 +601771,7 @@
         "objs": [],
         "tags": [],
         "genre": "选择题",
-        "ans": "",
+        "ans": "D",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -601804,7 +601804,7 @@
         "objs": [],
         "tags": [],
         "genre": "选择题",
-        "ans": "",
+        "ans": "D",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -601838,7 +601838,7 @@
         "objs": [],
         "tags": [],
         "genre": "选择题",
-        "ans": "",
+        "ans": "B",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -601956,7 +601956,7 @@
         "objs": [],
         "tags": [],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) 证明略; (2) 证明略; (3) $(-\\dfrac{\\sqrt{10}}{2},-\\dfrac{\\sqrt{2}}{2})\\cup (-\\dfrac{\\sqrt{2}}{2},\\dfrac{\\sqrt{2}}{2})\\cup (\\dfrac{\\sqrt{2}}{2},\\dfrac{\\sqrt{10}}{2})$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -602009,7 +602009,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$[0,1)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -602165,7 +602165,7 @@
         "objs": [],
         "tags": [],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$m=-2+2\\sqrt{3}$, $n=4+2\\sqrt{3}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -602822,7 +602822,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$0.3$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -602855,7 +602855,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(\\dfrac{1}{2},+\\infty)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -602888,7 +602888,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "(1) 必要非充分; (2) 既非充分又非必要",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -602941,7 +602941,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(0,1)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -602974,7 +602974,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(\\dfrac{1}{5},+\\infty)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -603007,7 +603007,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(0,+\\infty)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -603040,7 +603040,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$[\\dfrac{1}{27},1)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -603073,7 +603073,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$-3,-2,-1,0$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -603228,7 +603228,7 @@
         "objs": [],
         "tags": [],
         "genre": "解答题",
-        "ans": "",
+        "ans": "无整数解, 理由略",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -603461,7 +603461,7 @@
         "objs": [],
         "tags": [],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $f^{-1}(x)=\\dfrac{1-ax}{x-2}$, $x\\in (-\\infty,2)\\cup (2,+\\infty)$; (2) $a=2$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -603494,7 +603494,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$15$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -603527,7 +603527,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$100$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -603561,7 +603561,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{1}{3}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -603594,7 +603594,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$-140$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -603627,7 +603627,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$5$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -603660,7 +603660,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$9$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -603693,7 +603693,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$0<q<1$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -603726,7 +603726,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$a_n=\\begin{cases}2^{n-1}+1, n\\ge 2, \\\\ 3, & n=1\\end{cases}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -603759,7 +603759,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{31}{72}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -603792,7 +603792,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$11$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -603825,7 +603825,7 @@
         "objs": [],
         "tags": [],
         "genre": "选择题",
-        "ans": "",
+        "ans": "C",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -603858,7 +603858,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$-9$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -603891,7 +603891,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{5}{7}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -603924,7 +603924,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$2\\sqrt{2}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -603957,7 +603957,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$-47$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -603990,7 +603990,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "\\textcircled{2}\\textcircled{3}",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -604023,7 +604023,7 @@
         "objs": [],
         "tags": [],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$S_n=10n$或$S_n=\\dfrac{n^2+13n}{2}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -604056,7 +604056,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$S_6$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -604090,7 +604090,7 @@
         "objs": [],
         "tags": [],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $a_n=4n-1$; (2) 共有$39$项, 抽取的是第$20$项",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -604227,7 +604227,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{2^{3n+7}-2}{7}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -604279,7 +604279,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$a_n=\\begin{cases}4, & n=1, \\\\ 3, & 2\\le n\\le 5, \\\\ 20, & n=6, \\\\ 2n-1, & n\\ge 7\\end{cases}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -604299,7 +604299,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$3$, $\\dfrac{2}{3}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -604331,7 +604331,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{233}{990}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -604465,7 +604465,7 @@
         "objs": [],
         "tags": [],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) 是的(第10项); (2) $20$(第3与第4项)",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -604498,7 +604498,7 @@
         "objs": [],
         "tags": [],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$4\\pi r^2$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -604690,7 +604690,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$9$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -604743,7 +604743,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$771$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -604855,7 +604855,7 @@
         "objs": [],
         "tags": [],
         "genre": "选择题",
-        "ans": "",
+        "ans": "A",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -604887,7 +604887,7 @@
         "objs": [],
         "tags": [],
         "genre": "选择题",
-        "ans": "",
+        "ans": "C",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -604919,7 +604919,7 @@
         "objs": [],
         "tags": [],
         "genre": "选择题",
-        "ans": "",
+        "ans": "B",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -605365,7 +605365,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(-\\dfrac{2}{3},1)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -605398,7 +605398,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$[1,3)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -605431,7 +605431,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "(如)$a=b=100$(充要条件为$b(a-b)\\ge 0$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -605484,7 +605484,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$1$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -605517,7 +605517,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$2\\sqrt{2}+2$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -605570,7 +605570,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(-\\dfrac{3}{5},1]$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -605643,7 +605643,7 @@
         "objs": [],
         "tags": [],
         "genre": "选择题",
-        "ans": "",
+        "ans": "B",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -605676,7 +605676,7 @@
         "objs": [],
         "tags": [],
         "genre": "选择题",
-        "ans": "",
+        "ans": "C",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -606252,7 +606252,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "(1) $\\{-6,1,2,3\\}$; (2) $\\{(0,4),(1,3),(2,2),(3,1),(4,0)\\}$; (3) $\\{0,1,2,3,4\\}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -606285,7 +606285,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "(1) $\\{y|y=5k+2, \\ k\\in \\mathbf{Z}\\}$; (2) $\\{y|y=5k+2, \\ k\\in \\mathbf{N}\\}$; (3) $\\{(x,y)|x^2+y^2=4\\}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -606318,7 +606318,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "(1) $(1,2]$; (2) $(-\\dfrac{7}{2},+\\infty)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -606351,7 +606351,7 @@
         "objs": [],
         "tags": [],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) \\begin{tikzpicture}[>=latex, scale = 0.6]\n\\foreach \\i in {-3,-2,...,3}\n{\\draw [dashed, gray] (\\i,-4) -- (\\i,4) (-4,\\i) -- (4,\\i);};\n\\draw [->] (-4,0) -- (4,0) node [below] {$x$};\n\\draw [->] (0,-4) -- (0,4) node [left] {$y$};\n\\draw (0,0) node [below left] {$O$};\n\\draw (1,0) node [below] {$1$} (0,1) node [left] {$1$};\n\\filldraw (2,2) circle (0.05) (-2,2) circle (0.05);\n\\end{tikzpicture}; (2) \\begin{tikzpicture}[>=latex, scale = 0.6]\n\\foreach \\i in {-3,-2,...,3}\n{\\draw [dashed, gray] (\\i,-4) -- (\\i,4) (-4,\\i) -- (4,\\i);};\n\\draw [->] (-4,0) -- (4,0) node [below] {$x$};\n\\draw [->] (0,-4) -- (0,4) node [left] {$y$};\n\\draw (0,0) node [below left] {$O$};\n\\draw (1,0) node [below] {$1$} (0,1) node [left] {$1$};\n\\fill [pattern = north east lines] (1,-4) -- (1,1) -- (-4,1) -- (-4,2) -- (1,2) -- (1,4) -- (3,4) -- (3,2) -- (4,2) -- (4,1) -- (3,1) -- (3,-4) -- cycle;\n\\draw [dashed] (1,-4) -- (1,1) -- (-4,1) (-4,2) -- (1,2) -- (1,4) (3,4) -- (3,2) -- (4,2) (4,1) -- (3,1) -- (3,-4);\n\\end{tikzpicture}",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -606384,7 +606384,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$[-2,4]$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -606417,7 +606417,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$[2,+\\infty)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -606450,7 +606450,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$7$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -606483,7 +606483,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$-1$, $0$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -606516,7 +606516,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$[4,+\\infty)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -606549,7 +606549,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(1,3)\\cup (5,7]$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -606582,7 +606582,7 @@
         "objs": [],
         "tags": [],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$\\{0,1\\}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -606615,7 +606615,7 @@
         "objs": [],
         "tags": [],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$0$或$-1$或$-\\dfrac{1}{2}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -606648,7 +606648,7 @@
         "objs": [],
         "tags": [],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) 证明略; (2) 证明略",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -606681,7 +606681,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\{(0,4),(1,3),(2,0)\\}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -606714,7 +606714,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$2$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -606747,7 +606747,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(-\\infty,-1]\\cup (0,+\\infty)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -606780,7 +606780,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$a\\ne 0$且$b\\ne 0$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -606813,7 +606813,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$7$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -606846,7 +606846,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$[1,5]$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -606879,7 +606879,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$[-1,0]$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -606912,7 +606912,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$[0,\\dfrac{1}{2})$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -606945,7 +606945,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "\\textcircled{1}\\textcircled{2}\\textcircled{4}",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -606978,7 +606978,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$[0,4]$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -607011,7 +607011,7 @@
         "objs": [],
         "tags": [],
         "genre": "选择题",
-        "ans": "",
+        "ans": "C",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -607044,7 +607044,7 @@
         "objs": [],
         "tags": [],
         "genre": "选择题",
-        "ans": "",
+        "ans": "C",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -607077,7 +607077,7 @@
         "objs": [],
         "tags": [],
         "genre": "选择题",
-        "ans": "",
+        "ans": "C",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -607110,7 +607110,7 @@
         "objs": [],
         "tags": [],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$(a,b)=(0,0)$或$(-2,1)$或$(-1,0)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -607143,7 +607143,7 @@
         "objs": [],
         "tags": [],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) 证明略; (2) $5$; (3) $\\dfrac{80}{31}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -607176,7 +607176,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(-\\infty,0)\\cup (0,2)\\cup (2,+\\infty)$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -607196,7 +607196,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(2,+\\infty)$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -607216,7 +607216,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(-1,3)$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -607236,7 +607236,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$0$或$\\pm 1$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -607256,7 +607256,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$15$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -607276,7 +607276,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$-3$, $7$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -607296,7 +607296,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(-\\infty,-4]\\cup [1,+\\infty)$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -607316,7 +607316,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$2$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -607336,7 +607336,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(-\\infty,-1]$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -607356,7 +607356,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(-\\infty,1)\\cup [2,+\\infty)$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -607376,7 +607376,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(-\\infty,8)\\cup (8,+\\infty)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -607408,7 +607408,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(\\dfrac{1}{2},1)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -607440,7 +607440,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(-4,1]\\cup [3,4)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -607472,7 +607472,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$[-\\dfrac{1}{3},2)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -607504,7 +607504,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(-2,\\dfrac{4}{3})$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -607536,7 +607536,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(-1,5)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -607568,7 +607568,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{10}{3},+\\infty)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -607600,7 +607600,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "\\textcircled{2}\\textcircled{3}\\textcircled{4}",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -607633,7 +607633,7 @@
         "objs": [],
         "tags": [],
         "genre": "解答题",
-        "ans": "",
+        "ans": "当$a<0$时, 解集为$(-1,-a-1)$; 当$a=0$时, 解集为$\\varnothing$; 当$a>0$时, 解集为$(-\\infty,-a-1)\\cup (-1,+\\infty)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -610521,7 +610521,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(1,+\\infty)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -610556,7 +610556,7 @@
         "objs": [],
         "tags": [],
         "genre": "4em",
-        "ans": "",
+        "ans": "(1) 证明略; (2) $(0,\\dfrac{1}{2})$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -610592,7 +610592,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$[-1,0]$和$[1,+\\infty)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -610625,7 +610625,7 @@
         "objs": [],
         "tags": [],
         "genre": "",
-        "ans": "",
+        "ans": "$\\begin{cases}-x^2-2x-1, & x<0, \\\\ 0, & x=0, \\\\ x^2-2x+1, & x>0\\end{cases}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -610661,7 +610661,7 @@
         "objs": [],
         "tags": [],
         "genre": "",
-        "ans": "",
+        "ans": "C",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -610697,7 +610697,7 @@
         "objs": [],
         "tags": [],
         "genre": "4em",
-        "ans": "",
+        "ans": "既不是奇函数, 又不是偶函数, 理由略",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -610733,7 +610733,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$[-2,+\\infty)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -610766,7 +610766,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(0,65536]$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -610799,7 +610799,7 @@
         "objs": [],
         "tags": [],
         "genre": "4em",
-        "ans": "",
+        "ans": "$y_{\\max}=\\begin{cases}m^2+2m+3, & m\\le -2,\\\\ 3, & -2\\le m<0;\\end{cases}$ $y_{\\min}=\\begin{cases}2, & m\\le -1, \\\\ m^2+2m+3, & -1\\le m<0.\\end{cases}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -610835,7 +610835,7 @@
         "objs": [],
         "tags": [],
         "genre": "",
-        "ans": "",
+        "ans": "$[0,4]$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -613528,7 +613528,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(-\\infty,-\\dfrac{2}{11}]$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -613561,7 +613561,7 @@
         "objs": [],
         "tags": [],
         "genre": "4em",
-        "ans": "",
+        "ans": "当$a<1$时, 解集为$(\\dfrac{a+2}{a-1},1)$; 当$a=1$时, 解集为$(-\\infty,1)$; 当$a>1$时, 解集为$(-\\infty,1)\\cup (\\dfrac{a+2}{a-1},+\\infty)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -614182,7 +614182,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$1.4$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -614767,7 +614767,7 @@
         "objs": [],
         "tags": [],
         "genre": "解答题",
-        "ans": "",
+        "ans": "证明略",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -614802,7 +614802,7 @@
         "objs": [],
         "tags": [],
         "genre": "",
-        "ans": "",
+        "ans": "$a_n=-2n+10$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -615134,7 +615134,7 @@
         "objs": [],
         "tags": [],
         "genre": "",
-        "ans": "",
+        "ans": "(1) $25924$或$14762$; (2) $17$; (3) $3$, $5$; (4) $400$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -615169,7 +615169,7 @@
         "objs": [],
         "tags": [],
         "genre": "",
-        "ans": "",
+        "ans": "$3$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -615204,7 +615204,7 @@
         "objs": [],
         "tags": [],
         "genre": "4em",
-        "ans": "",
+        "ans": "(1) 最大项为$dfrac{1}{3^{57}}$, 序数为$57$和$58$; (2) $S_n=\\begin{cases}\\dfrac{1}{8}\\cdot 3^{n+1}+\\dfrac{n^2}{2}+\\dfrac{3n}{2}-\\dfrac{1}{8}, & n=2k+1, \\\\ \\dfrac{1}{8}\\cdot 3^{n+2}+\\dfrac{n^2}{2}+\\dfrac{n}{2}-\\dfrac{9}{8}, & n=2k+2.\\end{cases}$($k\\in \\mathbf{N}$)",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -615239,7 +615239,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{mn+4}{2n+2}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -615271,7 +615271,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$-1$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -615303,7 +615303,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(1,\\dfrac{3}{2}]$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -615335,7 +615335,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$32$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -615360,7 +615360,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$1$或$-2$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -615385,7 +615385,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\begin{cases}4n-1, & n\\ge 2,\\\\ 4, & n=1\\end{cases}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -615410,7 +615410,7 @@
         "objs": [],
         "tags": [],
         "genre": "选择题",
-        "ans": "",
+        "ans": "B",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -615435,7 +615435,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{10}{9}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -615460,7 +615460,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{\\pi}{3}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -615485,7 +615485,7 @@
         "objs": [],
         "tags": [],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $2$项; (2) 存在, $n_0=22$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -615510,7 +615510,7 @@
         "objs": [],
         "tags": [],
         "genre": "解答题",
-        "ans": "",
+        "ans": "证明略",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -615577,7 +615577,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{a+b}{2-a}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -615604,7 +615604,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(-\\infty,2)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -615631,7 +615631,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\log_2 m$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -615658,7 +615658,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$-1$或$1$或$3$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -615687,7 +615687,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "一",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -615714,7 +615714,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "下",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -615742,7 +615742,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$[-3,0)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -615769,7 +615769,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(\\dfrac{1}{2},1)\\cup (2,+\\infty)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -615796,7 +615796,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(5,+\\infty)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -615825,7 +615825,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$10$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -615852,7 +615852,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$<$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -615879,7 +615879,7 @@
         "objs": [],
         "tags": [],
         "genre": "解答题",
-        "ans": "",
+        "ans": "最大值为$2$, 最小值为$-\\dfrac{1}{4}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -615906,7 +615906,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\begin{cases}3, & n=1,\\\\ -2, & n\\ge 2\\end{cases}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -615926,7 +615926,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$2n^2+6n$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -615946,7 +615946,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(0,\\dfrac{1}{2})$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -615966,7 +615966,7 @@
         "objs": [],
         "tags": [],
         "genre": "选择题",
-        "ans": "",
+        "ans": "C",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -615986,7 +615986,7 @@
         "objs": [],
         "tags": [],
         "genre": "选择题",
-        "ans": "",
+        "ans": "C",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -616034,7 +616034,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$7$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -616054,7 +616054,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{1}{5}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -616074,7 +616074,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$6-6\\cdot 2^{-n}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -616094,7 +616094,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$2^{n+2}-n-3$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -616114,7 +616114,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$11$, $1000$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -616134,7 +616134,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\begin{cases}2, & n=1, \\\\ 3, & n=2, \\\\ n^2-4n+7, & n\\ge 3\\end{cases}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -616154,7 +616154,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$4n+2$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -616174,7 +616174,7 @@
         "objs": [],
         "tags": [],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) 证明略; (2) $-2$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -616194,7 +616194,7 @@
         "objs": [],
         "tags": [],
         "genre": "解答题",
-        "ans": "",
+        "ans": "证明略",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -616214,7 +616214,7 @@
         "objs": [],
         "tags": [],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $a_2=\\dfrac{2a}{1+a}$, $a_3=\\dfrac{4a}{1+3a}$, $a_4=\\dfrac{8a}{1+7a}$; (2) 猜想$a_n=\\dfrac{2^{n-1}a}{1+(2^{n-1}-1)a}$, 证明略",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -616234,7 +616234,7 @@
         "objs": [],
         "tags": [],
         "genre": "解答题",
-        "ans": "",
+        "ans": "猜想$a_n=3^n$, 证明略",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -616254,7 +616254,7 @@
         "objs": [],
         "tags": [],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $b_n=2^{n+1}$; (2) $a_n=2^{n+1}-1$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -616274,7 +616274,7 @@
         "objs": [],
         "tags": [],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$S_n=\\begin{cases}-n^2+\\dfrac{5}{2}n+\\dfrac{3^{n+2}}{4}-\\dfrac{9}{4}, & n=2k+1, \\\\ -n^2+\\dfrac{n}{2}+\\dfrac{3^{n+1}}{4}-\\dfrac{3}{4}, & n=2k+2,\\end{cases}$($k\\in \\mathbf{N}$)",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -616298,7 +616298,7 @@
             "第一单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "(1) \\textcircled{2}; (2) \\textcircled{2}; (3) \\textcircled{1}; (4) \\textcircled{2}; (5) \\textcircled{2}; (6) \\textcircled{1}; (7) \\textcircled{2}; (8) \\textcircled{3}; (9) \\textcircled{2}; (10) \\textcircled{3}; (11) \\textcircled{1}",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -638811,7 +638811,7 @@
             "第二单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$4$",
         "solution": "",
         "duration": -1,
         "usages": [