From 7326d0143f2cb6d1a25353ecbd53c00711024c75 Mon Sep 17 00:00:00 2001
From: "weiye.wang" <kj_wangweiye@126.com>
Date: Thu, 13 Jul 2023 07:44:51 +0800
Subject: [PATCH] =?UTF-8?q?=E6=B7=BB=E5=8A=A0=E4=B8=80=E4=BA=9B=E9=AB=98?=
 =?UTF-8?q?=E4=BA=8C=E6=A0=A1=E6=9C=AC=E7=9A=84=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 | 676 +++++++++++++++++++++---------------------
 1 file changed, 338 insertions(+), 338 deletions(-)

diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json
index acc18b11..19bf292e 100644
--- a/题库0.3/Problems.json
+++ b/题库0.3/Problems.json
@@ -527926,7 +527926,7 @@
             "导数"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$5$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -527956,7 +527956,7 @@
             "导数"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$2$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -527986,7 +527986,7 @@
             "导数"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\pm 2$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -528016,7 +528016,7 @@
             "导数"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "B",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -528046,7 +528046,7 @@
             "导数"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1)$0.9$；(2)$3+\\Delta x+6x_0$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -528077,7 +528077,7 @@
             "导数"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$30$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -528107,7 +528107,7 @@
             "导数"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1)$40\\text{m/s}$；(2)$40\\text{m/s}$；(3)$10a$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -528137,7 +528137,7 @@
             "导数"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1)$2 \\pi$；(2)$2 \\pi$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -528167,7 +528167,7 @@
             "导数"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$-1$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -528197,7 +528197,7 @@
             "导数"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$2x-y=0$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -528233,7 +528233,7 @@
             "导数"
         ],
         "genre": "填空题",
-        "ans": "$1$; $4$",
+        "ans": "$1$；$4$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -528280,7 +528280,7 @@
             "导数"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1)$\\dfrac{3}{4}$；(2)变大",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -528316,7 +528316,7 @@
             "导数"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1)正(图像略)；(2)正(图像略)",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -528352,7 +528352,7 @@
             "导数"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1)$4x-y-2=0$；(2)$\\alpha \\in [\\dfrac{\\pi}{4},\\dfrac{\\pi}{2})$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -528388,7 +528388,7 @@
             "导数"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1)$\\dfrac{\\sqrt{3}}{3}$；(2)$0$；(3)$-\\dfrac{\\sqrt{3}}{3}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -528424,7 +528424,7 @@
             "导数"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1)$P(-\\dfrac{1}{2},\\dfrac{1}{4})$；(2)$P(-\\dfrac{3}{2},\\dfrac{9}{4})$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -528460,7 +528460,7 @@
             "导数"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$-6$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -528496,7 +528496,7 @@
             "导数"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$x-y+1=0$或$3x+y+3=0$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -528532,7 +528532,7 @@
             "导数"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$1$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -528567,7 +528567,7 @@
             "导数"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$y=x+1$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -528602,7 +528602,7 @@
             "导数"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{\\sqrt{2}}{2}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -528637,7 +528637,7 @@
             "导数"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$4$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -528672,7 +528672,7 @@
             "导数"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "B",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -528707,7 +528707,7 @@
             "导数"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1)$0$；(2)$0$；(3)$\\dfrac{3\\sqrt{x}}{2}$；(4)$-\\dfrac{2}{3}x^{-\\frac{5}{3}}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -528742,7 +528742,7 @@
             "导数"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$x=k\\pi(k \\in \\mathbf{Z})$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -528777,7 +528777,7 @@
             "导数"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "证明略",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -528812,7 +528812,7 @@
             "导数"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "不存在，证明略；",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -528847,7 +528847,7 @@
             "导数"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{16}{3}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -528882,7 +528882,7 @@
             "导数"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{16}{3}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -529010,7 +529010,7 @@
             "导数"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$[\\sqrt{2},2]$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -529045,7 +529045,7 @@
             "导数"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1)$2x+e^x$；(2)$\\dfrac{1}{2}x^{-\\frac{1}{2}}-\\dfrac{1}{x}$；(3)$3x^2-2x+1$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -529080,7 +529080,7 @@
             "导数"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1)$e^x(2x+x^2)$；(2)$\\dfrac{1}{2}x^{-\\frac{1}{2}}\\sin x+x^{\\frac{1}{2}}\\cos x$；(3)$\\ln x+1$；(4)$\\dfrac{1}{x\\ln 10}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -529115,7 +529115,7 @@
             "导数"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1)$\\dfrac{x\\cos x-\\sin x}{x^2}$；(2)$\\dfrac{x(2\\ln x-1)}{(\\ln x)^2}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -529150,7 +529150,7 @@
             "导数"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1)$a=-1,b=-8$；(2)$y=-7x+3$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -529185,7 +529185,7 @@
             "导数"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "(1)$2x^2$；$4x^2$；(2)$3^{\\sin x}$；$\\sin 3^x$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -529216,7 +529216,7 @@
             "导数"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$y=-x+1$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -529247,7 +529247,7 @@
             "导数"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1)$20(5x-3)^3$；(2)$12(1-3x)^{-5}$；(3)$-\\dfrac{3}{4}(3x+1)^{-\\frac{5}{4}}$；(4)$-0.02\\mathrm{e}^{-0.02x+1}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -529278,7 +529278,7 @@
             "导数"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1)$\\dfrac{1}{1+2x}$；(2)$\\dfrac{2x}{(2x+1)^3}-\\dfrac{6x^2}{(2x+1)^4}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -529309,7 +529309,7 @@
             "导数"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1)$(2\\sin 3x+3\\cos 3x)\\mathrm{e}^{2x}$；(2)$\\dfrac{1}{1-x^2}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -529340,7 +529340,7 @@
             "导数"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1)$-2\\sin x \\cos x$；(2)$\\dfrac{3}{3x+1}+\\ln 3$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -529371,7 +529371,7 @@
             "导数"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1)$-\\dfrac{3}{x^2+2x+1}$；(2)$\\cos 2x$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -529402,7 +529402,7 @@
             "导数"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1)$y=-6\\ln 3x +3$；(2)$y=\\dfrac{3}{2\\ln 2}x-\\dfrac{3-\\ln2}{\\ln 2}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -529433,7 +529433,7 @@
             "导数"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$y=-2x-1$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -529464,7 +529464,7 @@
             "导数"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1)在$\\mathbf{R}$上严格增；(2)在$(-\\infty,-1]$及$[1,+\\infty)$上严格增，在$[-1,0)$及$(0,1]$上严格减",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -529493,7 +529493,7 @@
             "导数"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1)在$(-\\infty,-\\dfrac{\\sqrt{3}}{3}]$及$[\\dfrac{\\sqrt{3}}{3},+\\infty)$上严格增，在$[-\\dfrac{\\sqrt{3}}{3},\\dfrac{\\sqrt{3}}{3}]$上严格减；(2)在$[\\sqrt[3]{2},+\\infty)$及$(-\\infty,0)$上严格增，在$(0,\\sqrt[3]{2}]$上严格减",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -529522,7 +529522,7 @@
             "导数"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1)单调增区间为$(-\\infty,+\\infty)$，没有单调减区间；(2)单调增区间为$[1,+\\infty)$，单调减区间为$(-\\infty,1]$；(3)单调增区间为$[\\dfrac{1}{\\mathrm{e}},+\\infty)$，单调减区间为$(0,\\dfrac{1}{\\mathrm{e}}]$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -529551,7 +529551,7 @@
             "导数"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1)严格减；(2)严格减",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -529580,7 +529580,7 @@
             "导数"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1)$k=1$；(2)单调增区间为$(0,1]$，单调减区间为$[1,+\\infty)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -529609,7 +529609,7 @@
             "导数"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1)$[0,+\\infty)$；(2)$(-\\infty,-6]$；(3)$-6$；(4)$(-6,0)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -529640,7 +529640,7 @@
             "导数"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1)单调增区间为$(0,\\mathrm{e}]$，单调减区间为$[\\mathrm{e},+\\infty)$；(2)$a^b>b^a$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -529710,7 +529710,7 @@
             "导数"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$-\\dfrac{1}{\\mathrm{e}^\\pi}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -529739,7 +529739,7 @@
             "导数"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$[1,4)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -529768,7 +529768,7 @@
             "导数"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{16}{9}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -529797,7 +529797,7 @@
             "导数"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "单调增区间为$(-\\infty,-1]$及$[1,+\\infty)$，单调减区间为$[-1,1]$，极大值$f(-1)=4$，极小值$f(1)=0$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -529826,7 +529826,7 @@
             "导数"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "单调增区间为$(-\\infty,-2]$及$[2,+\\infty)$，单调减区间为$[-2,0)$及$(0,2]$，极大值为$f(-2)=-8$，极小值为$f(2)=8$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -529855,7 +529855,7 @@
             "导数"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$\\dfrac{1}{2}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -529884,7 +529884,7 @@
             "导数"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "当$a>0$时，单调减区间为$(-\\infty,-\\dfrac{1}{a}]$及$[a,+\\infty)$，单调增区间为$[-\\dfrac{1}{a},a]$，极小值为$f(-\\dfrac{1}{a})=-\\dfrac{1}{3a^2}-1$，极大值为$f(a)=\\dfrac{1}{3}a^4+a^2$；当$a<0$时，单调减区间为$[a,-\\dfrac{1}{a}]$，单调增区间为$(-\\infty,a]$及$[\\dfrac{1}{a},+\\infty)$，极小值为$f(-\\dfrac{1}{a})=-\\dfrac{1}{3a^2}-1$，极大值为$f(a)=\\dfrac{1}{3}a^4+a^2$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -529913,7 +529913,7 @@
             "导数"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$a=-3,b=-9$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -529942,7 +529942,7 @@
             "导数"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$(-\\infty,-3)\\cup(6,+\\infty)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -530051,7 +530051,7 @@
             "导数"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$1-\\mathrm{e}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -530121,7 +530121,7 @@
             "导数"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$a=-\\dfrac{1}{2}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -530150,7 +530150,7 @@
             "导数"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$a=\\mathrm{e}^2$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -530181,7 +530181,7 @@
             "导数"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$a=2$且$b=3$，或$a=-2$且$b=-29$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -530212,7 +530212,7 @@
             "导数"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$(-\\infty,0]$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -530241,7 +530241,7 @@
             "导数"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1)$h(t)=-t^3+t-1$;(2)$(1,+\\infty)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -530270,7 +530270,7 @@
             "导数"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "长、宽、高分别为$\\dfrac{8}{3}$m、$\\dfrac{4}{3}$m、$2$m时，体积$V$最大，为$\\dfrac{64}{9}$m$^3$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -530301,7 +530301,7 @@
             "导数"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "应当生产$150$件该产品",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -530332,7 +530332,7 @@
             "导数"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "当$|BC|=4\\sqrt{3}\\text{cm}$时，三棱锥体积最大，为$4\\sqrt{15}\\text{cm}^3$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -530363,7 +530363,7 @@
             "导数"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1)$S_{\\text{矩形}ABCD}=3200\\sin \\theta \\cos \\theta +800\\cos \\theta$，$S_{\\triangle CDP}=1600\\cos \\theta -1600\\sin \\theta \\cos \\theta$，$\\sin \\theta \\in [\\dfrac{1}{4},1)$;(2)$\\theta = \\dfrac{\\pi}{6}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -548845,7 +548845,7 @@
             "第六单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1)$\\overrightarrow{A_1B_1}$、$\\overrightarrow{DC}$、$\\overrightarrow{D_1C_1}$;(2)$\\overrightarrow{A_1A}$、$\\overrightarrow{B_1B}$、$\\overrightarrow{C_1C}$、$\\overrightarrow{D_1D}$;(3)$\\overrightarrow{DA}$、$\\overrightarrow{BC}$、$\\overrightarrow{CB}$、$\\overrightarrow{B_1C_1}$、$\\overrightarrow{C_1B_1}$、$\\overrightarrow{A_1D_1}$、$\\overrightarrow{D_1A_1}$、$\\overrightarrow{D_1M}$、$\\overrightarrow{MD_1}$、$\\overrightarrow{MA_1}$、$\\overrightarrow{A_1M}$;(4)$\\dfrac{1}{2}\\overrightarrow{AD}-\\overrightarrow{AA_1}+\\dfrac{1}{2}\\overrightarrow{AB}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -548875,7 +548875,7 @@
             "第六单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "证明略",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -548905,7 +548905,7 @@
             "第六单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$\\dfrac{1}{3}(\\overrightarrow{OA}+\\overrightarrow{OB}+\\overrightarrow{OC})$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -548935,7 +548935,7 @@
             "第六单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1)$\\sqrt{14}$;(2)$<\\overrightarrow{m},\\overrightarrow{a}>=\\arccos \\dfrac{\\sqrt{14}}{14}$，$<\\overrightarrow{m},\\overrightarrow{b}>=\\arccos \\dfrac{\\sqrt{14}}{7}$，$<\\overrightarrow{m},\\overrightarrow{c}>=\\arccos \\dfrac{3\\sqrt{14}}{14}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -548965,7 +548965,7 @@
             "第六单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "证明略",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -548995,7 +548995,7 @@
             "第六单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1)$0$;(2)$2$;(3)$2$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -549027,7 +549027,7 @@
             "第六单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "证明略",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -549059,7 +549059,7 @@
             "第六单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "证明略",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -549091,7 +549091,7 @@
             "第六单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$\\arccos \\dfrac{5\\sqrt{6}}{18}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -549123,7 +549123,7 @@
             "第六单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1)$\\arccos \\dfrac{\\sqrt{91}}{26}$;(2)$\\dfrac{\\sqrt{85}}{12}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -549155,7 +549155,7 @@
             "第六单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "(1)$(\\dfrac{\\sqrt{2}}{2}a,0,0)$;(2)$(0,-\\dfrac{\\sqrt{2}}{2}a,0)$;(3)$(0,\\dfrac{\\sqrt{2}}{2}a,h)$;(4)$(\\dfrac{\\sqrt{2}}{2}a,0,0)$;(5)$(\\dfrac{\\sqrt{2}}{2}a,\\dfrac{\\sqrt{2}}{2}a,0)$;(6)$(0,-\\sqrt{2}a,-h)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -549185,7 +549185,7 @@
             "第六单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1)$(7,-13,26)$;(2)$\\sqrt{146}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -549215,7 +549215,7 @@
             "第六单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1)证明略;(2)$-\\dfrac{14}{27}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -549245,7 +549245,7 @@
             "第六单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$\\overrightarrow{a}=(4,-1,3),\\overrightarrow{-a}=(-4,1,-3),\\overrightarrow{a_0}=(\\dfrac{2\\sqrt{26}}{13},-\\dfrac{\\sqrt{26}}{26},\\dfrac{3\\sqrt{26}}{26})$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -549275,7 +549275,7 @@
             "第六单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$(0,2,0)$或$(0,8,0)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -549305,7 +549305,7 @@
             "第六单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$(0,19,0)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -549335,7 +549335,7 @@
             "第六单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$(\\dfrac{4\\sqrt{21}}{21},\\dfrac{2\\sqrt{21}}{21},\\dfrac{\\sqrt{21}}{21})$或$(-\\dfrac{4\\sqrt{21}}{21},-\\dfrac{2\\sqrt{21}}{21},-\\dfrac{\\sqrt{21}}{21})$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -549365,7 +549365,7 @@
             "第六单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "如$(4,-3,2)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -549395,7 +549395,7 @@
             "第六单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$(\\dfrac{x_1+x_2+x_3}{3},\\dfrac{y_1+y_2+y_3}{3},\\dfrac{z_1+z_2+z_3}{3})$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -549425,7 +549425,7 @@
             "第六单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "证明略",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -549455,7 +549455,7 @@
             "第六单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1)$P$在棱上到$B_1$距离为$\\dfrac{1}{2}$;(2)$P$在$B_1A_1$延长线上，且到$A_1$的距离为$\\dfrac{5}{8}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -549485,7 +549485,7 @@
             "第六单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1)证明略;(2)$\\arccos \\dfrac{\\sqrt{10}}{5}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -549515,7 +549515,7 @@
             "第六单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1)$\\dfrac{2\\sqrt{15}}{15}$;(2)$\\dfrac{\\pi}{4}$;(3)$2$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -549545,7 +549545,7 @@
             "第六单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1)$(\\dfrac{3\\sqrt{2}}{2},\\dfrac{3\\sqrt{2}}{2},-4)$;(2)$(0,0,1)$;(3)$(3\\sqrt{2},0,-4)$;(4)$(\\dfrac{3\\sqrt{2}}{2},-\\dfrac{3\\sqrt{2}}{2},-4)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -549573,7 +549573,7 @@
             "第六单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1)$AC$;(2)$BD$;(3)$A_1C$;(4)$OB_1$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -549601,7 +549601,7 @@
             "第六单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1)如$(1,-1,0)$;(2)如$(1,0,0)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -549629,7 +549629,7 @@
             "第六单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "如$(-3,2,-6)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -549657,7 +549657,7 @@
             "第六单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$3$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -549685,7 +549685,7 @@
             "第六单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$2$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -549713,7 +549713,7 @@
             "第六单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$\\dfrac{6}{7}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -549741,7 +549741,7 @@
             "第六单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1)$P$在线段$A_1B_1$且到$B_1$的距离为$\\dfrac{1}{2}$;(2)$P$在$B_1A_1$延长线上，且到$B_1$的距离为$\\dfrac{21}{8}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -549769,7 +549769,7 @@
             "第六单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$\\pi -\\arccos \\frac{\\sqrt{3}}{3}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -549803,7 +549803,7 @@
             "第六单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1)$\\dfrac{\\pi}{2}$;(2)$\\dfrac{\\pi}{2}$;(3)$\\arccos \\dfrac{1}{3}$或$\\pi-\\arccos \\dfrac{1}{3}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -549837,7 +549837,7 @@
             "第六单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$\\arccos \\dfrac{\\sqrt{13}}{13}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -549871,7 +549871,7 @@
             "第六单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$\\arccos \\dfrac{3\\sqrt{2}}{14}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -549905,7 +549905,7 @@
             "第六单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1)$1$;(2)$\\dfrac{\\pi}{3}$;(3)$\\dfrac{\\sqrt{3}}{3}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -549939,7 +549939,7 @@
             "第八单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1)$a^6+12a^5b+60a^4b^2+160a^3b^3+240a^2b^4+192ab^5+64b^6$;(2)$1-\\dfrac{5}{x}+\\dfrac{10}{x^2}-\\dfrac{10}{x^3}+\\dfrac{5}{x^4}-\\dfrac{1}{x^5}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -549971,7 +549971,7 @@
             "第八单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1)$2+20x+10x^2$;(2)$64x^3y+16xy^3$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -550003,7 +550003,7 @@
             "第八单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$T_1=x^{15},T_2=-15x^{14},T_3=105x^{13},T_4=-455x^{12}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -550035,7 +550035,7 @@
             "第八单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$T_8=-2099520a^9b^14$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -550067,7 +550067,7 @@
             "第八单元"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "A",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -550099,7 +550099,7 @@
             "第八单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$-252$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -550131,7 +550131,7 @@
             "第八单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$120$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -550163,7 +550163,7 @@
             "第八单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1)$55$;(2)第$5$项，系数为$5280$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -550195,7 +550195,7 @@
             "第八单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$1-\\sqrt{2}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -550227,7 +550227,7 @@
             "第八单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "证明略",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -550259,7 +550259,7 @@
             "第八单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$-20$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -550291,7 +550291,7 @@
             "第八单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$512,1,1953125$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -550321,7 +550321,7 @@
             "第八单元"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "D",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -550351,7 +550351,7 @@
             "第八单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$-252$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -550381,7 +550381,7 @@
             "第八单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$T_6=-462x^{\\frac{17}{2}}y^8,T_7=462x^8y^{\\frac{17}{2}}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -550403,7 +550403,7 @@
             "第八单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "证明略",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -550433,7 +550433,7 @@
             "第八单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$5$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -550463,7 +550463,7 @@
             "第八单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$0$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -550493,7 +550493,7 @@
             "第八单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$\\frac{1}{256}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -550523,7 +550523,7 @@
             "第八单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1)$\\mathrm{C}_{35}^{17}(3x)^{17}$和$\\mathrm{C}_{35}^{18}(3x)^{18}$;(2)是第$27$项$\\mathrm{C}_{35}^{26}(3x)^{26}$及第$28$项$\\mathrm{C}_{35}^{27}(3x)^{27}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -550553,7 +550553,7 @@
             "第八单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$11$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -550583,7 +550583,7 @@
             "第八单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "证明略",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -585072,7 +585072,7 @@
             "第六单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$4\\pi$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -585107,7 +585107,7 @@
             "第七单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$90^\\circ$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -585142,7 +585142,7 @@
             "第六单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\arctan \\dfrac{\\sqrt{2}}{2}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -585177,7 +585177,7 @@
             "第八单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$16$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -585212,7 +585212,7 @@
             "第六单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{\\sqrt{15}\\pi}{3}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -585247,7 +585247,7 @@
             "第八单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{13}{50}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -585282,7 +585282,7 @@
             "第七单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\arccos \\dfrac{1}{5}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -585317,7 +585317,7 @@
             "第七单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{12}{5}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -585352,7 +585352,7 @@
             "第九单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$23$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -585388,7 +585388,7 @@
             "第八单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{2}{7}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -585423,7 +585423,7 @@
             "第六单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{\\sqrt{3}}{3}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -585458,7 +585458,7 @@
             "第七单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(0,3)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -585493,7 +585493,7 @@
             "第六单元"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "C",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -585528,7 +585528,7 @@
             "第八单元"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "B",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -585563,7 +585563,7 @@
             "第六单元"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "B",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -585645,7 +585645,7 @@
             "第九单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $a=3.0$, 消费金额在区间$[0.6,0.9]$内的购物者的人数为$6000$人; (2) 应抽取$24$名",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -585680,7 +585680,7 @@
             "第六单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $\\arctan\\dfrac{\\sqrt{5}}{2}$; (2) $\\arctan\\dfrac{\\sqrt{5}}{2}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -585715,7 +585715,7 @@
             "第七单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) 长轴长为$2\\sqrt{2}$, 离心率为$\\dfrac{\\sqrt{2}}{2}$; (2) $\\sqrt{2}x-y-\\sqrt{2}=0$或$\\sqrt{2}x+y-\\sqrt{2}=0$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -585750,7 +585750,7 @@
             "第六单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $10$; (2) $\\dfrac{8\\sqrt{5}}{3}$; (3) 存在, $\\dfrac{CM}{CF}=\\dfrac{4}{7}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -585785,7 +585785,7 @@
             "第七单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) 不是``圆椭圆''; (2) $(3,3\\sqrt{2}]$; (3) 过定点$(0,\\pm 3\\sqrt{2})$, 证明略",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -589685,7 +589685,7 @@
             "第七单元"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "B",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -589715,7 +589715,7 @@
             "第七单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{(x-1)^2}{4}+\\dfrac{y^2}{4}=1$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -589745,7 +589745,7 @@
             "第七单元"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "D",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -589787,7 +589787,7 @@
             "第七单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{x^2}{4}-\\dfrac{y^2}{4}=1$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -589817,7 +589817,7 @@
             "第七单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "($\\dfrac{-1+\\sqrt{13}}{2},\\dfrac{-1+\\sqrt{13}}{2}$)",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -589859,7 +589859,7 @@
             "第七单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$x^2+y^2=2(x\\le0$且$y\\ge0$)",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -589891,7 +589891,7 @@
             "第七单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\begin{cases}x=2-\\dfrac{1}{2}t,\\\\y=1+\\dfrac{\\sqrt{3}}{2},\\end{cases}$$t\\in \\mathbf{R}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -589921,7 +589921,7 @@
             "第七单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{2\\pi}{3}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -589951,7 +589951,7 @@
             "第七单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$4+\\sqrt{5}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -589994,7 +589994,7 @@
             "第七单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{5}{2}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -590016,7 +590016,7 @@
             "第七单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(x+1)^2+(y-1)^2=5$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -590046,7 +590046,7 @@
             "第七单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{(x+2)^2}{4}+(y-3)^2=1$(除去点$(-2+\\dfrac{\\sqrt{10}}{5},3-\\dfrac{3\\sqrt{10}}{10})$及点$(-2-\\dfrac{\\sqrt{10}}{5},3+\\dfrac{3\\sqrt{10}}{10})$)",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -590076,7 +590076,7 @@
             "第七单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$2$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -590106,7 +590106,7 @@
             "第七单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$[\\dfrac{1}{3},1) \\cup (1,3]$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -590136,7 +590136,7 @@
             "第七单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1)$-1$；(2)$\\pm \\sqrt{2}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -590166,7 +590166,7 @@
             "第七单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1)$\\dfrac{x^2}{24}+\\dfrac{y^2}{20}=1$；(2)$\\dfrac{5\\sqrt{30}}{4}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -590198,7 +590198,7 @@
             "第七单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1)$\\dfrac{9}{2}$；(2)$\\pm 2\\sqrt{2}$；(3)有且仅有一个",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -590649,7 +590649,7 @@
             "第七单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(2,\\dfrac{7\\pi}{6})$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -590679,7 +590679,7 @@
             "第七单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\sqrt{5}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -590709,7 +590709,7 @@
             "第七单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(6,\\dfrac{4\\pi}{3})$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -590739,7 +590739,7 @@
             "第七单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "(1) $(3,\\dfrac{11\\pi}{6})$; (2) $(3,\\dfrac{7\\pi}{6})$; (3) $(3,\\dfrac{5\\pi}{6})$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -590769,7 +590769,7 @@
             "第七单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{5\\sqrt{2}}{2}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -590799,7 +590799,7 @@
             "第七单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$x^2+y^2-3y=0$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -590829,7 +590829,7 @@
             "第七单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$6$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -590859,7 +590859,7 @@
             "第七单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$x^2-\\dfrac{y^2}{9}=1$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -590889,7 +590889,7 @@
             "第七单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{2}{3}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -590919,7 +590919,7 @@
             "第七单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$3$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -590949,7 +590949,7 @@
             "第七单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$[-2,2\\sqrt{2}]$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -590979,7 +590979,7 @@
             "第七单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(0,9]$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -591009,7 +591009,7 @@
             "第七单元"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "D",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -591039,7 +591039,7 @@
             "第七单元"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "B",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -591069,7 +591069,7 @@
             "第七单元"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "C",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -591099,7 +591099,7 @@
             "第七单元"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "C",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -591129,7 +591129,7 @@
             "第七单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $m=\\dfrac{3}{2}$; (2) $m=3$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -591159,7 +591159,7 @@
             "第七单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $(\\dfrac{3}{2},\\dfrac{5\\sqrt{3}}{2})$; (2) $d_{\\min}=\\sqrt{15}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -591189,7 +591189,7 @@
             "第七单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $(\\dfrac{-p}{2},\\dfrac{-p}{4}]$; (2) $S_{\\max}=\\sqrt{2}p^2$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -591219,7 +591219,7 @@
             "第七单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $\\cos\\theta=\\dfrac{1}{3}$}; (2) $2(x-\\dfrac{1}{2})^2-(y-\\dfrac{\\sqrt{2}}{2})^2=1$; (3) $(-4-3\\sqrt{2},-\\sqrt{2})\\cup (-\\sqrt{2},\\dfrac{-4-\\sqrt{2}}{7})",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -593125,7 +593125,7 @@
             "第七单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\pm\\sqrt{10}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -593159,7 +593159,7 @@
             "第七单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$2x-3y+1=0$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -593193,7 +593193,7 @@
             "第七单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(-\\sqrt{5},-1)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -593227,7 +593227,7 @@
             "第七单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$y=2$或$x-2y+4=0$或$x=0$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -593261,7 +593261,7 @@
             "第七单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$3$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -593295,7 +593295,7 @@
             "第七单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$x^2-\\dfrac{y^2}{8}=1(x\\geq 1)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -593329,7 +593329,7 @@
             "第七单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$4+\\sqrt{5}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -593372,7 +593372,7 @@
             "第七单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$2x+3y+1=0$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -593406,7 +593406,7 @@
             "第七单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$48$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -593440,7 +593440,7 @@
             "第七单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$4x^2+y^2-4x+2y=0 (x\\neq 1,y\\neq -2)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -593474,7 +593474,7 @@
             "第七单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(x+2)^2+(y+1)^2=16$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -593510,7 +593510,7 @@
             "第七单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$0$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -593544,7 +593544,7 @@
             "第七单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$5$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -593578,7 +593578,7 @@
             "第七单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$4\\sqrt{2}+2$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -593612,7 +593612,7 @@
             "第七单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(2,+\\infty)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -593646,7 +593646,7 @@
             "第七单元"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "B",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -593680,7 +593680,7 @@
             "第七单元"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "C",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -593714,7 +593714,7 @@
             "第七单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$y=x+2$或$y=-x+4$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -593748,7 +593748,7 @@
             "第七单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $k=\\pm 1$}; (2) $(-\\sqrt{3},-1)\\cup (1,\\sqrt{3})$; (3) 不存",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -593782,7 +593782,7 @@
             "第七单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$\\angle F_1PF_2=\\arccos\\dfrac{15}{17}$; $S_{\\triangle F_1PF_2}=36$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -593804,7 +593804,7 @@
             "第七单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $\\dfrac{x^2}{2}+y^2=1$; (2) $(\\dfrac{2}{3},0)$}; (3) $S_{\\max}=\\dfrac{1}{9}",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -593838,7 +593838,7 @@
             "第二单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(-\\infty,2)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -593872,7 +593872,7 @@
             "第二单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{4\\pi}{3}$或$\\dfrac{5\\pi}{3}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -593906,7 +593906,7 @@
             "第二单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{1}{2}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -593940,7 +593940,7 @@
             "第二单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$2$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -593974,7 +593974,7 @@
             "第二单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$[2,+\\infty)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -594008,7 +594008,7 @@
             "第二单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$y=2^x-1$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -594042,7 +594042,7 @@
             "第一单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(-\\infty,\\dfrac{1}{3})\\cup(\\dfrac{1}{3},+\\infty)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -594076,7 +594076,7 @@
             "第二单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "\\textcircled{2}\\textcircled{3}\\textcircled{5}",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -594110,7 +594110,7 @@
             "第二单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\sqrt{2}-1$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -594144,7 +594144,7 @@
             "第二单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(0,4)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -594178,7 +594178,7 @@
             "第二单元"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "D",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -594212,7 +594212,7 @@
             "第二单元"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "D",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -594246,7 +594246,7 @@
             "第二单元"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "B",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -594280,7 +594280,7 @@
             "第二单元"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "B",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -594314,7 +594314,7 @@
             "第二单元"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "D",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -594348,7 +594348,7 @@
             "第二单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$x+y-\\dfrac{\\pi}{2}=0$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -594382,7 +594382,7 @@
             "第二单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) 不是; (2) 是, $b=2$或$-2$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -594416,7 +594416,7 @@
             "第二单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$MC(500)=1002$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -594450,7 +594450,7 @@
             "第二单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "是, 定值为$\\dfrac{3}{5}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -594484,7 +594484,7 @@
             "第二单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $f(x)=\\dfrac{\\sqrt{x}+1}{x+3}$},定义域为$[0,a]$; (2)$[\\dfrac{1}{3},\\dfrac{6}{13}]$; (3) $a\\in \\{1,2,3,4,5,6,7,8,9\\}",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -595064,7 +595064,7 @@
             "第二单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "(1) $3x^2-2x-1$; (2) $(-\\infty,-\\dfrac{1}{3}]$与$[1,+\\infty)$}; (3) $[-\\dfrac{1}{3},1]$; (4) $1-\n\\dfrac{1}{x}$; (5) $[1,+\\infty)$; (6) $(0,1]$; (7) $-2\\cos (\\dfrac{\\pi}{3}-2x)$ ; (8) $[k\\pi-\\dfrac{7\\pi}{12},k\\pi-\\dfrac{\\pi}{12}],k\\in Z$; (9) $[k\\pi-\\dfrac{\\pi}{12},k\\pi+\\dfrac{5\\pi}{12}],k\\in Z$; (10) $2^x+x 2^x\\ln{2}$; (11) $[-\\ln{2},+\\infty)$; (12) $(-\\infty,-\\ln{2}]$; (13) $4x-\\dfrac{1}{2}x^{-\\frac{1}{2}}$; (14) $[\\dfrac{1}{4},+\\infty)$; (15) $[0,\\dfrac{1}{4}]",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -595092,7 +595092,7 @@
             "第二单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "(1)$\\{x\\big {|}x=k\\pi,k\\in Z\\}$}; (2)$\\{x\\big{|}x=\\dfrac{\\pi}{6}+2k\\pi$或$x=\\dfrac{5\\pi}{6}+2k\\pi,k\\in Z\\}",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -595159,7 +595159,7 @@
             "第二单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "(1) $2$; (2) $5x-y-3=0$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -595187,7 +595187,7 @@
             "第二单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "(1) $-3x^2+6x$; (2) $4$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -595215,7 +595215,7 @@
             "第二单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "(1) $2$; (2) $(-1,3)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -595243,7 +595243,7 @@
             "第二单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "(1) $-1$; (2) $1$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -595271,7 +595271,7 @@
             "第二单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "(1) $[-3,+\\infty)$; (2) $[0,\\dfrac{\\pi}{2})\\cup [\\pi -\\arctan{3},\\pi)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -595299,7 +595299,7 @@
             "第二单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "(1) $6$; (2) $(0,2)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -595327,7 +595327,7 @@
             "第二单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "(1) $(1,1)$; (2) $(-\\infty,-2)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -595355,7 +595355,7 @@
             "第二单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "(1) $(\\dfrac{1}{3},\\ln{\\dfrac{1}{3}})$}; (2) $(\\ln{\\dfrac{1}{3}}-1,+\\infty)",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -595383,7 +595383,7 @@
             "第二单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$2\\sqrt{15}-5$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -595411,7 +595411,7 @@
             "第二单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{1}{8}\\sqrt{\\dfrac{3}{\\pi}}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -595439,7 +595439,7 @@
             "第二单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$-6$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -595467,7 +595467,7 @@
             "第二单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{-\\mathrm{e}^{2x}+3}{\\mathrm{e}^{3x}}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -595495,7 +595495,7 @@
             "第二单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$2x\\cos{3x}-3x^2\\sin 3x+\\dfrac{1}{x\\ln 10}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -595523,7 +595523,7 @@
             "第二单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{1}{2}x^{-\\frac{1}{2}} \\tan x+\\dfrac{x^{\\frac{1}{2}}}{\\cos^2 x}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -595551,7 +595551,7 @@
             "第二单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(x\\ln x+\\ln x+1)\\mathrm{e}^x$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -595579,7 +595579,7 @@
             "第二单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $\\dfrac{\\sin x-\\cos x-1}{1+2\\cos x +\\cos ^2 x}$; (2) $\\dfrac{6x^5-3x^{\\frac{1}{2}}+2x\\cos x-4\\sin x}{2x^3}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -595647,7 +595647,7 @@
             "第二单元"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "D",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -595675,7 +595675,7 @@
             "第二单元"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "B",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -595703,7 +595703,7 @@
             "第二单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$4x-y-4=0$或$y=0$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -597363,7 +597363,7 @@
             "第二单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$-\\dfrac{1}{\\mathrm{e}} $",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -597395,7 +597395,7 @@
             "第二单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$3$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -597427,7 +597427,7 @@
             "第二单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$y=3x+1$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -597459,7 +597459,7 @@
             "第二单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{\\mathrm{e}}{2}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -597491,7 +597491,7 @@
             "第二单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(-\\infty,-1]$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -597524,7 +597524,7 @@
             "第六单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "BADC",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -597556,7 +597556,7 @@
             "第二单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "\\textcircled{2}\\textcircled{3}",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -597588,7 +597588,7 @@
             "第二单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{\\pi}{6}-\\dfrac{\\sqrt{3}}{2}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -597620,7 +597620,7 @@
             "第二单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$-2$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -597652,7 +597652,7 @@
             "第二单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$-3$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -597684,7 +597684,7 @@
             "第二单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$18$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -597716,7 +597716,7 @@
             "第二单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$-4$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -597748,7 +597748,7 @@
             "第二单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "不存在",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -597780,7 +597780,7 @@
             "第二单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $7x-y+10=0$; (2) 极小值点为$x=\\dfrac{1}{3}$,极大值点为$x=-1$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -597812,7 +597812,7 @@
             "第二单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$a=\\dfrac{1}{\\mathrm{e}}$; (2) $[\\dfrac{3}{2},+\\infty)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -597845,7 +597845,7 @@
             "第二单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $S=2(x+r)\\sqrt{r^2-x^2},x\\in (0,r)$; $S_{\\max}=\\dfrac{3\\sqrt{3}}{2}r^2$,当$x=\\dfrac{r}{2}$时取到",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -597877,7 +597877,7 @@
             "第二单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $f(x)_{\\max}=\\dfrac{1}{\\mathrm{e}}$; (2) 略",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -597909,7 +597909,7 @@
             "第二单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) 递增区间为$(-\\infty,-2]$和$[0,+\\infty)$,递减区间为$[-2,0]$; (2) $m=\\dfrac{4}{\\mathrm{e}^2}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -597941,7 +597941,7 @@
             "第二单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$2+\\sqrt{2}-\\dfrac{4+3\\sqrt{2}}{4}\\pi$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -597973,7 +597973,7 @@
             "第二单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$1$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -598005,7 +598005,7 @@
             "第二单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$y=x$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -598037,7 +598037,7 @@
             "第二单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$y=-x$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -598069,7 +598069,7 @@
             "第二单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(-\\infty,-2]$和$[0,+\\infty)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -598101,7 +598101,7 @@
             "第二单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(0,1]$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -598133,7 +598133,7 @@
             "第二单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{4}{9}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -598165,7 +598165,7 @@
             "第二单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(-\\infty,-\\dfrac{17}{3}]$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -598197,7 +598197,7 @@
             "第二单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(-81,-24)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -598229,7 +598229,7 @@
             "第八单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$1$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -598261,7 +598261,7 @@
             "第八单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$8$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -598293,7 +598293,7 @@
             "第八单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$5$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -598325,7 +598325,7 @@
             "第二单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$12$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -598357,7 +598357,7 @@
             "第二单元"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "A",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -598389,7 +598389,7 @@
             "第八单元"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "B",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -598421,7 +598421,7 @@
             "第八单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $80$; (2) $40$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -598453,7 +598453,7 @@
             "第二单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$f(x)=x\\ln x-x^2-1$; (2) $-1$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -598485,7 +598485,7 @@
             "第二单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "递增区间$[-\\ln a,+\\infty)$,递减区间$(-\\infty,-\\ln a]$}; (2) $[1,+\\infty)",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -598517,7 +598517,7 @@
             "第二单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $y=x+4$; (2) $(-\\infty,-\\dfrac{1}{\\mathrm{e}}]$; (3) 一个零点",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -604396,7 +604396,7 @@
             "第八单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$-280$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -604430,7 +604430,7 @@
             "第八单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$240$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -604464,7 +604464,7 @@
             "第八单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$3486784401$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -604498,7 +604498,7 @@
             "第八单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$-1024$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -604532,7 +604532,7 @@
             "第八单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$63$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -604566,7 +604566,7 @@
             "第八单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "二",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -604600,7 +604600,7 @@
             "第八单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$168x^6$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -604634,7 +604634,7 @@
             "第八单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$330$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -604668,7 +604668,7 @@
             "第六单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$-\\overrightarrow{a}+\\overrightarrow{b}-\\overrightarrow{c}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -604702,7 +604702,7 @@
             "第六单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$-2$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -604736,7 +604736,7 @@
             "第六单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "必要非充分",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -604770,7 +604770,7 @@
             "第六单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$0$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -604804,7 +604804,7 @@
             "第六单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$-\\dfrac{3\\sqrt{13}}{26}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -604838,7 +604838,7 @@
             "第六单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "-$\\dfrac{1}{4}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -604872,7 +604872,7 @@
             "第六单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\sqrt{6}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -604906,7 +604906,7 @@
             "第八单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $-2$; (2) $-1074$; (3) $2187$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -604940,7 +604940,7 @@
             "第八单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$x^5,180,3360x^{-5},13440x^{-10},11520x^{-15},1024x^{-20}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -604974,7 +604974,7 @@
             "第八单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "第六项",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -605008,7 +605008,7 @@
             "第六单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$-\\overrightarrow{a}+\\overrightarrow{b}-\\overrightarrow{c}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -605030,7 +605030,7 @@
             "第六单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$10$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -605052,7 +605052,7 @@
             "第六单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\arccos \\dfrac{2}{3}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -605074,7 +605074,7 @@
             "第六单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$-14$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -605096,7 +605096,7 @@
             "第六单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\arccos \\dfrac{7\\sqrt{6}}{18}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -605118,7 +605118,7 @@
             "第六单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$35$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -605140,7 +605140,7 @@
             "第六单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{6}{7}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -605162,7 +605162,7 @@
             "第六单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{a_1-b_1}{m}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -605184,7 +605184,7 @@
             "第六单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(\\dfrac{4}{3},\\dfrac{4}{3},\\dfrac{8}{3})$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -605206,7 +605206,7 @@
             "第六单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$1$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -605228,7 +605228,7 @@
             "第六单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$\\sqrt{85}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -605250,7 +605250,7 @@
             "第六单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1)$\\dfrac{\\sqrt{15}}{5}$;(2)$\\arctan \\sqrt{2}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -605272,7 +605272,7 @@
             "第六单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$\\arctan \\dfrac{3}{8}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -605294,7 +605294,7 @@
             "第六单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1)$90^\\circ$;(2)存在，是$D_1$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -605316,7 +605316,7 @@
             "第六单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1)证明略;(2)$1$，证明略",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -605338,7 +605338,7 @@
             "第六单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1)$A_1P=\\dfrac{3}{2}$时;(2)$\\arccos \\dfrac{3\\sqrt{5}}{10}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -605360,7 +605360,7 @@
             "第六单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1)$\\arccos \\dfrac{\\sqrt{7}}{3}$;(2)$\\dfrac{2\\sqrt{6}}{3}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -606307,7 +606307,7 @@
             "第八单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{7}{15}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -606341,7 +606341,7 @@
             "第八单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{1}{9}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -606375,7 +606375,7 @@
             "第八单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{1}{5}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -606409,7 +606409,7 @@
             "第八单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{22}{425}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -606443,7 +606443,7 @@
             "第八单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$3600$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -606477,7 +606477,7 @@
             "第八单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{1}{6}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -606511,7 +606511,7 @@
             "第八单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "(1) $\\dfrac{1}{3}$; (2) $\\dfrac{1}{2}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -606545,7 +606545,7 @@
             "第八单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{5}{8}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -606579,7 +606579,7 @@
             "第八单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{1}{14}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -606613,7 +606613,7 @@
             "第八单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$0.175$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -606647,7 +606647,7 @@
             "第八单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{13}{132}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -606681,7 +606681,7 @@
             "第八单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{1}{5}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -606715,7 +606715,7 @@
             "第八单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$0.5275$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -606749,7 +606749,7 @@
             "第八单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$0.4825$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -606783,7 +606783,7 @@
             "第八单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $\\dfrac{1}{4}$; (2) $\\dfrac{1}{3}$; (3) $\\dfrac{1}{2}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -606817,7 +606817,7 @@
             "第八单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $\\dfrac{3}{4}$; (2)$\\dfrac{3}{8}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -606851,7 +606851,7 @@
             "第八单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$\\dfrac{1}{13}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -606885,7 +606885,7 @@
             "第八单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$\\dfrac{3}{5}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -606919,7 +606919,7 @@
             "第八单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$\\dfrac{2}{5}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -606953,7 +606953,7 @@
             "第八单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$\\dfrac{19}{20}$",
         "solution": "",
         "duration": -1,
         "usages": [