From 395c33add999d5cf193b020e55132e4f93c2cc9c Mon Sep 17 00:00:00 2001
From: "weiye.wang" <kj_wangweiye@126.com>
Date: Sat, 10 Feb 2024 16:04:13 +0800
Subject: [PATCH] =?UTF-8?q?=E6=81=A2=E5=A4=8D=E4=B8=80=E4=BA=9B=E8=A2=AB?=
 =?UTF-8?q?=E9=94=99=E8=AF=AF=E8=A6=86=E7=9B=96=E7=9A=84=E7=AD=94=E6=A1=88?=
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---
 题库0.3/Problems.json | 80 +++++++++++++++++++++----------------------
 1 file changed, 40 insertions(+), 40 deletions(-)

diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json
index 32876339..e0677c21 100644
--- a/题库0.3/Problems.json
+++ b/题库0.3/Problems.json
@@ -338835,7 +338835,7 @@
             "2023届高三-上学期测验卷-测验10"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\{-1,0\\}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -338881,7 +338881,7 @@
             "2023届高三-上学期测验卷-测验10"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$2$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -338927,7 +338927,7 @@
             "2023届高三-上学期测验卷-测验10"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(1,-2,-3)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -338973,7 +338973,7 @@
             "2023届高三-上学期测验卷-测验10"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$3$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -339019,7 +339019,7 @@
             "2023届高三-上学期测验卷-测验10"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$69$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -339068,7 +339068,7 @@
             "2023届高三-寒假作业-容易题"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$-\\dfrac 43$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -339114,7 +339114,7 @@
             "2023届高三-上学期测验卷-测验10"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac 12$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -339160,7 +339160,7 @@
             "2023届高三-上学期测验卷-测验10"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac\\pi 6$或$\\dfrac{5\\pi}6$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -339207,7 +339207,7 @@
             "2023届高三-四月错题重做-01-函数一"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(-3,-1)\\cup (0,1)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -339255,7 +339255,7 @@
             "2023届高三-上学期测验卷-测验10"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac 6{25}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -339303,7 +339303,7 @@
             "2023届高三-上学期测验卷-测验10"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\sqrt{3}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -339350,7 +339350,7 @@
             "2023届高三-寒假作业-较难题"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(-1,1-\\sqrt{3}]$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -339397,7 +339397,7 @@
             "2023届高三-寒假作业-容易题"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "B",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -339443,7 +339443,7 @@
             "2023届高三-上学期测验卷-测验10"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "D",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -339489,7 +339489,7 @@
             "2023届高三-上学期测验卷-测验10"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "C",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -339535,7 +339535,7 @@
             "2023届高三-上学期测验卷-测验10"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "C",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -339583,7 +339583,7 @@
             "2023届高三-四月错题重做-03-易错题-数列"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) 公差为$3$; (2) $a_1$的所有可能的值为$18,19,20$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -339641,7 +339641,7 @@
             "2023届高三-上学期测验卷-测验10"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) 证明略; (2) $\\dfrac 13$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -339687,7 +339687,7 @@
             "2023届高三-上学期测验卷-测验10"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) (示例)王先生可能需要考虑的因素有:\\\\\n\\textcircled{1} 未来月租金的变化;\\\\\n\\textcircled{2} 找到承租人的时长的变化;\\\\\n\\textcircled{3} 未来租客的租期长短;\\\\\n\\textcircled{4} 房屋是否未来三年内可以用于出租;\\\\\n\\textcircled{5} 换租客的过程中是否需要重新装修;\n\\textcircled{6} 寻租过程中的时间、精力成本等.\\\\\n(2) 言之有理即可",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -339733,7 +339733,7 @@
             "2023届高三-上学期测验卷-测验10"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $y=x+1$; (2) 面积的最大值为$2$, 此时$l:y=0$; (3) 当$\\delta_{F_1}\\cdot \\delta_{F_2}>b^2$($=b^2$, $<b^2$)时, $l$与$\\Gamma$无公共点(恰有一个公共点, 恰有两个公共点), 证明略",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -339781,7 +339781,7 @@
             "2023届高三-上学期测验卷-测验10"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $[-1,3]$; (2) $0$; (3) $\\dfrac 12$与$\\dfrac 32$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -343577,7 +343577,7 @@
             "B20240503-春考前综合训练03"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$21$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -343617,7 +343617,7 @@
             "B20240503-春考前综合训练03"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\sqrt{5}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -343659,7 +343659,7 @@
             "B20240503-春考前综合训练03"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$4\\pi$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -343703,7 +343703,7 @@
             "B20240503-春考前综合训练03"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(-7,2)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -343746,7 +343746,7 @@
             "B20240503-春考前综合训练03"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac \\pi 6$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -343808,7 +343808,7 @@
             "B20240503-春考前综合训练03"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$64$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -343848,7 +343848,7 @@
             "B20240503-春考前综合训练03"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$9$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -343891,7 +343891,7 @@
             "B20240503-春考前综合训练03"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(-4,0)\\cup(0,4)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -343923,7 +343923,7 @@
             "B20240503-春考前综合训练03"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$23$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -343966,7 +343966,7 @@
             "B20240503-春考前综合训练03"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$x=1-\\sqrt{2}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -344020,7 +344020,7 @@
             "B20240503-春考前综合训练03"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{2\\pi}5$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -344093,7 +344093,7 @@
             "B20240503-春考前综合训练03"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "D",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -344133,7 +344133,7 @@
             "B20240503-春考前综合训练03"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "C",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -344173,7 +344173,7 @@
             "B20240503-春考前综合训练03"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "B",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -344215,7 +344215,7 @@
             "B20240503-春考前综合训练03"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $\\dfrac{32\\sqrt{3}}3$; (2) $\\arctan \\dfrac{\\sqrt{5}}2$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -344257,7 +344257,7 @@
             "B20240503-春考前综合训练03"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $b=1$, $c=\\sqrt{6}$; (2) $\\dfrac{5\\sqrt{30}}2$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -344301,7 +344301,7 @@
             "B20240503-春考前综合训练03"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) 双曲线的标准方程为$\\dfrac{x^2}{100}-\\dfrac{y^2}{300}=1$, $P$的坐标为$(\\dfrac{\\sqrt{15\\sqrt{2}}}2, \\dfrac{5\\sqrt{6}}2)$; (2) $|OQ|\\approx 19$千米, $Q$点的位置再$O$点北偏东约$66^\\circ$方向",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -344340,7 +344340,7 @@
             "B20240503-春考前综合训练03"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $(-\\infty,-2]\\cup [0,+\\infty)$; (2) $(0,\\dfrac 14)$; (3) 存在, $a$的取值范围为$(-\\infty,-\\dfrac 14]$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -344371,7 +344371,7 @@
             "B20240503-春考前综合训练03"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $a_3=1$; (2) 证明略, 公比为$\\dfrac 14$; (3) $\\dfrac{21}{64}$",
         "solution": "",
         "duration": -1,
         "usages": [