diff --git a/工具/latex界面修改题目内容.py b/工具/latex界面修改题目内容.py
index 90d3e2f2..235b140c 100644
--- a/工具/latex界面修改题目内容.py
+++ b/工具/latex界面修改题目内容.py
@@ -1,6 +1,6 @@
 import os,re,json
 """这里编辑题号(列表)后将在vscode中打开窗口, 编辑后保存关闭"""
-problems = "15202"
+problems = "15056"
 editor = "王伟叶"
 
 def generate_number_set(string,dict):
diff --git a/工具/文本文件/metadata.txt b/工具/文本文件/metadata.txt
index 93bed4cc..2e9058da 100644
--- a/工具/文本文件/metadata.txt
+++ b/工具/文本文件/metadata.txt
@@ -1,196 +1,320 @@
 ans
 
-15059
-$\{3,5\}$
+15122
+$\{0,1,2\}$
 
-15060
+15123
+$1$
+
+15124
+$\sqrt{5}$
+
+15125
+$\dfrac{x^2}{\frac{11}3}+\dfrac{y^2}{\frac{11}2}=1$($\dfrac{3x^2}{11}+\dfrac{2y^2}{11}=1$)
+
+15126
+$-\dfrac 23$
+
+15127
+$3$
+
+15128
+$(0,\dfrac 12]$
+
+15129
+$(\dfrac 14,\dfrac{\sqrt{3}}4)$
+
+15130
+$y=0.186x+11.571$
+
+15131
+$\dfrac{\sqrt{2}}2$
+
+15132
+$95.4$(或者$95.5$也可以)
+
+15133
+$1+2\lg 2$
+
+15134
+C
+
+15135
+B
+
+15136
+A
+
+15137
+D
+
+15138
+(1) 证明略; (2) $2^{n+2}-4-3n$
+
+15139
+(1) $\dfrac 23$; (2) 证明略
+
+15140
+(1) $2\sqrt{3}$; (2) $\sqrt{2}$
+
+15141
+(1) 分布为$\begin{pmatrix}0 & 1 & 2 \\ \dfrac 15 & \dfrac 35 & \dfrac 15\end{pmatrix}$, 期望为$1$; (2) $\chi^2\approx 0.595$, 脑瘤病患在左右侧的部位与习惯在哪一侧接听手机电话无关
+
+15142
+(1) $2x-y-2\ln 2=0$; (2) $-a-\dfrac 12$; (3) 有且仅有一个零点
+
+
+15143
+$(-1,1)$
+
+15144
 $\pi$
 
-15061
-$81$
+15145
+$2$
 
-15062
-$-5$
+15146
+$9$
 
-15063
-$(x-1)^2+y^2=4$
+15147
+$(-\infty,0)\cup [\dfrac 13,+\infty)$
 
-15064
-$40$
+15148
+$-\dfrac 17$
 
-15065
-$-2$
+15149
+$36\pi$
 
-15066
-$(300+100\sqrt{2})\pi$
+15150
+$14$
 
-15067
-$\dfrac{2\pi}{3}$
+15151
+$68$
 
-15068
-$\dfrac{11}{32}$
+15152
+$3$
 
-15069
-$4$
+15153
+$(-\dfrac 12,0)$
 
-15070
-$[-2,2]$
+15154
+$3\sqrt{5}$
 
-15071
-B
-
-15072
+15155
 A
 
-15073
+15156
 D
 
-15074
-C
-
-15075
-(1) $\dfrac{16}{65}$; (2) 周长为$32$, 面积为$24$
-
-15076
-(1) 证明略; (2) 距离为$\dfrac{\sqrt{2}}2$, 所成角为$\arcsin\dfrac{\sqrt{10}}{10}$
-
-15077
-(1) \begin{tabular}{|c|c|c|c|} \hline & 生产标兵 & 非生产标兵 & 总计\\\hline
-$35$周岁及以上组 & $20$ & $60$ & $80$\\\hline
-$35$周岁以下组 & $30$ & $50$ & $80$ \\\hline
-总计& $50$ & $110$ & $160$ \\ \hline
-\end{tabular}, $\chi^2\approx 2.91$, 因此没有$95\%$的把握认为是否为生产标兵与工人所在的年龄有关; (2) 估计该厂工人中$35$周岁以下占$40\%$, 该厂生产标兵中$35$周岁以下占$50\%$
-
-15078
-(1) $y=\pm 2\sqrt{2}x$; (2) 最大值为$\dfrac 14$, 此时$\angle AF_1B$的正切值为$-\dfrac{24}{7}$; (3) 证明略
-
-15079
-(1) $h_1(x)$是, $h_2(x)$不是; (2) $y=ax^2+(4-2a)x+a$($0<a<2$); (3) $2\sqrt{3}$
-
-15080
-平行或相交
-
-15081
-$5$
-
-15082
-$(\sqrt{3},0)$
-
-15083
-$\sqrt{3}x-y+\sqrt{3}+3=0$
-
-15084
-$[3,+\infty)$
-
-15085
-$16\pi$
-
-15086
-$(-\dfrac 12,\dfrac 23)\cup (3,+\infty)$
-
-15087
-$0$
-
-15088
-$100\sqrt{2}$
-
-15089
-$(-\dfrac 1{11},-\dfrac 1{19})$
-
-15090
-$\dfrac{\sqrt{10}}5$
-
-15091
-$[0,\dfrac\pi 3]\cup [\dfrac{2\pi}3,\pi]$
-
-15092
-C
-
-15093
-C
-
-15094
+15157
 B
 
-15095
+15158
 D
 
-15096
-(1) 最小正周期为$\pi$, 对称轴的方程为$x=\dfrac\pi 6+\dfrac{k\pi}2$, $k\in \mathbf{Z}$; (2) $(0,\dfrac 32]$
+15159
+(1) 证明略; (2) $8\sqrt{3}$
 
-15097
-(1) 证明略; (2) $\dfrac{\sqrt{5}}3$
-`1
-15098
-(1) $a=0.26$, $b=0.38$; (2) $\dfrac 23$; (3) $X$的分布为$\begin{pmatrix} 0 & 1 & 2 \\ \dfrac 5{14} & \dfrac{15}{28} & \dfrac 3{28} \end{pmatrix}$, 期望为$\dfrac 34$
+15160
+(1) $[1,+\infty)$; (2) $10216$
 
-15099
-(1) $x_3^2+\dfrac 14$; (2) $(-1,1)$; (3) 证明略
+15161
+(1) $\dfrac 13$; (2) $1.2$
 
-15100
-(1) 证明略; (2) $1$; (3) 证明略
+15162
+(1) $2$; (2) $(-1,\dfrac 74)$; (3) 是定值$\sqrt{6}$
+
+15163
+(1) $(1,+\infty)$; (2) $[-1,\dfrac 32]$; (3) 证明略
 
 
-15101
-$\{0,2\}$
+15164
+$\{-1,1\}$
 
-15102
-$(2,+\infty)$
+15165
+$10$
 
-15103
-$3-\mathrm{i}$
+15166
+$\dfrac 12$
 
-15104
-$5$
+15167
+$18\pi$
 
-15105
-$\dfrac 17$
+15168
+$2$
 
-15106
-$32.5$
+15169
+$0.2$
 
-15107
+15170
+$12$
+
+15171
+$\dfrac 14$
+
+15172
+$[-2,+\infty)$
+
+15173
+$\sqrt{2}$
+
+15174
+$[\dfrac 76,\dfrac{15}2]$
+
+15175
+$\dfrac{-3\pm \sqrt{6}}6$
+
+15176
+D
+
+15177
+C
+
+15178
+B
+
+15179
+C
+
+15180
+(1) $\dfrac 13$; (2) $8\sqrt{2}$
+
+15181
+(1) 证明略; (2) $\dfrac{4\sqrt{21}}{21}$
+
+15182
+(1) $0.01998$; (2) 分布为$\begin{pmatrix}0 & 1 & 2 & 3 \\ 0.00000 & 0.00030 & 0.02940 & 0.97030 \end{pmatrix}$, 期望为$2.97$
+
+
+15183
+(1) 离心率为$\dfrac{\sqrt{5}}2$, 渐近线方程为$y=\pm \dfrac 12 x$; (2) $1$; (3) 证明略
+
+15184
+(1) $-4$; (2) 存在切线$l_2$与$l_1$垂直, 理由略; (3) $(\dfrac{3-\sqrt{5}}{2},\dfrac 12]\cup [2,\dfrac{3+\sqrt{5}}{2})$
+
+15185
+$\{2,4\}$
+
+15186
+$(-\infty,1)$
+
+15187
+$0.2$
+
+15188
+$(1,+\infty)$
+
+15189
+$\dfrac{2\sqrt{2}}3\pi$
+
+15190
+$1$
+
+15191
+$0.8$
+
+15192
 $4$
 
-15108
-$(-\infty,-5]\cup \{0\}\cup [5,+\infty)$
+15193
+$3$
 
-15109
-$\dfrac 65$
+15194
+$[-1,1]$
 
-15110
-$48\pi$
+15195
+$3$
 
-15111
-$\dfrac{x^2}3-y^2=1$
+15196
+$\dfrac{\sqrt{21}}{14}$
 
-15112
-$\dfrac 52$
-
-15113
-A
-
-15114
+15197
 D
 
-15115
+15198
+A
+
+15199
 C
 
-15116
+15200
 B
 
-15117
-(1) $\begin{cases}2, & n=1, \\ 2^{n-1}, & n\ge 2;\end{cases}$ (2) $m=11$
+15201
+(1) 证明略; (2) 分布为$\begin{pmatrix} 0 & 1 & 2 \\ \dfrac 3{10} & \dfrac 35 & \dfrac{1}{10}\end{pmatrix}$, 期望为$\dfrac 45$
 
-15118
-(1) 证明略; (2) $\dfrac{\sqrt{3}}4$
+15202
+(1) 证明略; (2) $60^\circ$
+
+15203
+(1) $\lambda \approx 29.21$, 估计到$2023$年底该地新能源汽车保有量约$40.3$万辆; (2) $\hat{\lambda}\approx 29.67$, $\hat{r}\approx 0.32$
+
+15204
+(1) $\dfrac{x^2}4+\dfrac{y^2}3=1$; (2) $1$; (3) 值恒为$-3$, 证明略
+
+15205
+(1) 振幅为$\sqrt{2}$, 周期为$2\pi$, 初相位为$\dfrac{\pi}{4}$; (2) $(\dfrac{\pi}{3},\dfrac{5\pi}3]$; (3) $(0,1)$
 
 
-15119
-(1) $\chi^2\approx 35.4$, 有$99.9\%$的把握认为电解电容质量与铝箔质量有关; (2) 约为$0.846$ 
+15206
+$\{1\}$
 
-15120
-(1)$\dfrac{x^2}2+y^2=1$; (2) $x\pm \dfrac{\sqrt{14}}7y-1=0$; (3) 证明略
+15207
+$5$
 
-15121
-(1) 在$(-\pi,0]$和$[\pi,2\pi]$上均为严格增函数, 在$[0,\pi]$和$[2\pi,3\pi)$上均为严格减函数, 极小值为$-\dfrac{1}{\mathrm{e}^\pi}$, 极大值为$1$与$\dfrac{1}{\mathrm{e}^{2\pi}}$; (2) $(-\infty,2]$; (3) 证明略
\ No newline at end of file
+15208
+$-1$
+
+15209
+$0.94$
+
+15210
+$-\dfrac{24}{7}$
+
+15211
+$28$
+
+15212
+$50$
+
+15213
+$\dfrac 13$
+
+15214
+$\dfrac 8{11}$
+
+15215
+$9$
+
+15216
+$\dfrac{\sqrt{2}}2$
+
+15217
+$\sqrt{15}a$
+
+15218
+B
+
+15219
+B
+
+15220
+C
+
+15221
+B
+
+15222
+(1) $\dfrac \pi 3$; (2) $\dfrac 32$
+
+15223
+(1) 证明略; (2) $\arctan\dfrac{2\sqrt{5}}5$
+
+15224
+(1) $43.3$亿元; (2) (i) 全款购车两年后资产总额为$0.0322a$万元, 分期付款购车两年后资产总额为$0.0233a$万元, 应选择全款购车; (ii) $a<21.2134$, 这一措施对购买A, B, C车型有效
+
+15225
+(1) $C_1:\dfrac{x^2}2+y^2=1$, $C_2:\dfrac{x^2}2-y^2=1$; (2) $y=\dfrac 12 x$或$y=-\dfrac 12 x$; (3) $2$
+
+15226
+(1) $g(x)=f(h(x))$; (2) 导函数为$2(2x)^{2x}(1+\ln (2x))$, 最小值为$(\dfrac 1{\mathrm{e}})^{\frac 1{\mathrm{e}}}$; (3) 证明略
diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json
index 3c551639..4e092928 100644
--- a/题库0.3/Problems.json
+++ b/题库0.3/Problems.json
@@ -371093,7 +371093,7 @@
     },
     "015056": {
         "id": "015056",
-        "content": "某网站计划$4$月份订购草莓在网络销售, 每天的进货量相同, 成本价为每盒$15$元. 决定每盒售价为$20$元, 未售出的草莓降价处理, 每盒$10$元. 假设当天进货能全部售完. 根据销售经验, 每天的购买量与网站每天的浏览量(单位: 万次) 有关. 为确定草莓的进货量, 相关人员统计了前两年$4$月份(共$60$天)网站每天的浏览量(单位: 万次)、购买草莓的数量(单位: 盒) 以及达到该流量的天数, 如下表所示:\n\\begin{center} \n\\begin{tabular}{|c|c|c|}\n\\hline 每天的浏览量 &$(0,1)$& {$[1,+\\infty)$} \\\\\n\\hline 每天的购买量 & 600 & 900 \\\\\n\\hline 天数 & 36 & 24 \\\\\n\\hline\n\\end{tabular}\n\\end{center}\n以每天的浏览量位于各区间的频率代替浏览量位于该区间的概率.\n(1) 求$4$月份草苺一天的购买量$X$(单位: 盒)的分布;\\\\\n(2) 设$4$月份销售草莓一天的利润为$Y$(单位: 元), 一天的进货量为$n$(单位: 盒), $n$为正整数且$n \\in[600,900]$, 当$n$为多少时, $Y$的期望达到最大值, 并求此最大值.",
+        "content": "某网站计划$4$月份订购草莓在网络销售, 每天的进货量相同, 成本价为每盒$15$元. 决定每盒售价为$20$元, 未售出的草莓降价处理, 每盒$10$元. 假设当天进货能全部售完. 根据销售经验, 每天的购买量与网站每天的浏览量(单位: 万次) 有关. 为确定草莓的进货量, 相关人员统计了前两年$4$月份(共$60$天)网站每天的浏览量(单位: 万次)、购买草莓的数量(单位: 盒) 以及达到该流量的天数, 如下表所示:\n\\begin{center} \n\\begin{tabular}{|c|c|c|}\n\\hline 每天的浏览量 &$(0,1)$& {$[1,+\\infty)$} \\\\\n\\hline 每天的购买量 & 600 & 900 \\\\\n\\hline 天数 & 36 & 24 \\\\\n\\hline\n\\end{tabular}\n\\end{center}\n以每天的浏览量位于各区间的频率代替浏览量位于该区间的概率.\\\\\n(1) 求$4$月份草苺一天的购买量$X$(单位: 盒)的分布;\\\\\n(2) 设$4$月份销售草莓一天的利润为$Y$(单位: 元), 一天的进货量为$n$(单位: 盒), $n$为正整数且$n \\in[600,900]$, 当$n$为多少时, $Y$的期望达到最大值, 并求此最大值.",
         "objs": [],
         "tags": [
             "第八单元"
@@ -371105,7 +371105,8 @@
         "usages": [],
         "origin": "2023届金山区高三二模试题19",
         "edit": [
-            "20230413\t王伟叶"
+            "20230413\t王伟叶",
+            "20230414\t王伟叶"
         ],
         "same": [],
         "related": [],
@@ -372486,7 +372487,7 @@
             "第一单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\{0,1,2\\}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -372507,7 +372508,7 @@
             "第四单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$1$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -372528,7 +372529,7 @@
             "第五单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\sqrt{5}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -372549,7 +372550,7 @@
             "第七单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{x^2}{\\frac{11}3}+\\dfrac{y^2}{\\frac{11}2}=1$($\\dfrac{3x^2}{11}+\\dfrac{2y^2}{11}=1$)",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -372570,7 +372571,7 @@
             "第三单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$-\\dfrac 23$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -372591,7 +372592,7 @@
             "第三单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$3$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -372612,7 +372613,7 @@
             "第二单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(0,\\dfrac 12]$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -372633,7 +372634,7 @@
             "第五单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(\\dfrac 14,\\dfrac{\\sqrt{3}}4)$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -372654,7 +372655,7 @@
             "第九单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$y=0.186x+11.571$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -372675,7 +372676,7 @@
             "第六单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{\\sqrt{2}}2$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -372696,7 +372697,7 @@
             "第八单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$95.4$(或者$95.5$也可以)",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -372717,7 +372718,7 @@
             "第一单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$1+2\\lg 2$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -372738,7 +372739,7 @@
             "第六单元"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "C",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -372759,7 +372760,7 @@
             "第二单元"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "B",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -372780,7 +372781,7 @@
             "第七单元"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "A",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -372801,7 +372802,7 @@
             "第二单元"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "D",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -372822,7 +372823,7 @@
             "第四单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) 证明略; (2) $2^{n+2}-4-3n$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -372843,7 +372844,7 @@
             "第六单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $\\dfrac 23$; (2) 证明略",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -372864,7 +372865,7 @@
             "第七单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $2\\sqrt{3}$; (2) $\\sqrt{2}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -372885,7 +372886,7 @@
             "第九单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) 分布为$\\begin{pmatrix}0 & 1 & 2 \\\\ \\dfrac 15 & \\dfrac 35 & \\dfrac 15\\end{pmatrix}$, 期望为$1$; (2) $\\chi^2\\approx 0.595$, 脑瘤病患在左右侧的部位与习惯在哪一侧接听手机电话无关",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -372906,7 +372907,7 @@
             "第二单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $2x-y-2\\ln 2=0$; (2) $-a-\\dfrac 12$; (3) 有且仅有一个零点",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -372927,7 +372928,7 @@
             "第一单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(-1,1)$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -372948,7 +372949,7 @@
             "第三单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\pi$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -372969,7 +372970,7 @@
             "第九单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$2$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -372990,7 +372991,7 @@
             "第五单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$9$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -373011,7 +373012,7 @@
             "第二单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(-\\infty,0)\\cup [\\dfrac 13,+\\infty)$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -373032,7 +373033,7 @@
             "第三单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$-\\dfrac 17$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -373053,7 +373054,7 @@
             "第六单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$36\\pi$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -373074,7 +373075,7 @@
             "第三单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$14$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -373095,7 +373096,7 @@
             "第九单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$68$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -373116,7 +373117,7 @@
             "第七单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$3$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -373137,7 +373138,7 @@
             "第二单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(-\\dfrac 12,0)$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -373158,7 +373159,7 @@
             "第五单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$3\\sqrt{5}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -373179,7 +373180,7 @@
             "第一单元"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "A",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -373200,7 +373201,7 @@
             "第六单元"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "D",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -373221,7 +373222,7 @@
             "第七单元"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "B",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -373242,7 +373243,7 @@
             "第三单元"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "D",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -373263,7 +373264,7 @@
             "第六单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) 证明略; (2) $8\\sqrt{3}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -373284,7 +373285,7 @@
             "第四单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $[1,+\\infty)$; (2) $10216$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -373305,7 +373306,7 @@
             "第八单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $\\dfrac 13$; (2) $1.2$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -373326,7 +373327,7 @@
             "第七单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $2$; (2) $(-1,\\dfrac 74)$; (3) 是定值$\\sqrt{6}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -373347,7 +373348,7 @@
             "第二单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $(1,+\\infty)$; (2) $[-1,\\dfrac 32]$; (3) 证明略",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -373368,7 +373369,7 @@
             "第一单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\{-1,1\\}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -373389,7 +373390,7 @@
             "第一单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$10$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -373410,7 +373411,7 @@
             "第五单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac 12$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -373431,7 +373432,7 @@
             "第六单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$18\\pi$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -373452,7 +373453,7 @@
             "第八单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$2$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -373473,7 +373474,7 @@
             "第八单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$0.2$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -373494,7 +373495,7 @@
             "第八单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$12$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -373515,7 +373516,7 @@
             "第二单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac 14$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -373536,7 +373537,7 @@
             "第二单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$[-2,+\\infty)$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -373557,7 +373558,7 @@
             "第二单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\sqrt{2}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -373578,7 +373579,7 @@
             "第七单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$[\\dfrac 76,\\dfrac{15}2]$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -373599,7 +373600,7 @@
             "第五单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{-3\\pm \\sqrt{6}}6$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -373620,7 +373621,7 @@
             "第二单元"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "D",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -373641,7 +373642,7 @@
             "第九单元"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "C",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -373662,7 +373663,7 @@
             "第二单元"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "B",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -373683,7 +373684,7 @@
             "第四单元"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "C",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -373704,7 +373705,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $\\dfrac 13$; (2) $8\\sqrt{2}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -373725,7 +373726,7 @@
             "第六单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) 证明略; (2) $\\dfrac{4\\sqrt{21}}{21}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -373746,7 +373747,7 @@
             "第八单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $0.01998$; (2) 分布为$\\begin{pmatrix}0 & 1 & 2 & 3 \\\\ 0.00000 & 0.00030 & 0.02940 & 0.97030 \\end{pmatrix}$, 期望为$2.97$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -373767,7 +373768,7 @@
             "第七单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) 离心率为$\\dfrac{\\sqrt{5}}2$, 渐近线方程为$y=\\pm \\dfrac 12 x$; (2) $1$; (3) 证明略",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -373788,7 +373789,7 @@
             "第二单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $-4$; (2) 存在切线$l_2$与$l_1$垂直, 理由略; (3) $(\\dfrac{3-\\sqrt{5}}{2},\\dfrac 12]\\cup [2,\\dfrac{3+\\sqrt{5}}{2})$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -373809,7 +373810,7 @@
             "第一单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\{2,4\\}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -373830,7 +373831,7 @@
             "第一单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(-\\infty,1)$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -373851,7 +373852,7 @@
             "第八单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$0.2$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -373872,7 +373873,7 @@
             "第二单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(1,+\\infty)$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -373893,7 +373894,7 @@
             "第六单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{2\\sqrt{2}}3\\pi$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -373914,7 +373915,7 @@
             "第二单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$1$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -373935,7 +373936,7 @@
             "第八单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$0.8$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -373956,7 +373957,7 @@
             "第二单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$4$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -373977,7 +373978,7 @@
             "第二单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$3$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -373998,7 +373999,7 @@
             "第二单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$[-1,1]$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -374019,7 +374020,7 @@
             "第五单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$3$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -374040,7 +374041,7 @@
             "第七单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{\\sqrt{21}}{14}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -374061,7 +374062,7 @@
             "第九单元"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "D",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -374082,7 +374083,7 @@
             "第五单元"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "A",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -374103,7 +374104,7 @@
             "第六单元"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "C",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -374124,7 +374125,7 @@
             "第四单元"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "B",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -374145,7 +374146,7 @@
             "第八单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) 证明略; (2) 分布为$\\begin{pmatrix} 0 & 1 & 2 \\\\ \\dfrac 3{10} & \\dfrac 35 & \\dfrac{1}{10}\\end{pmatrix}$, 期望为$\\dfrac 45$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -374166,7 +374167,7 @@
             "第六单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) 证明略; (2) $60^\\circ$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -374188,7 +374189,7 @@
             "第九单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $\\lambda \\approx 29.21$, 估计到$2023$年底该地新能源汽车保有量约$40.3$万辆; (2) $\\hat{\\lambda}\\approx 29.67$, $\\hat{r}\\approx 0.32$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -374209,7 +374210,7 @@
             "第七单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $\\dfrac{x^2}4+\\dfrac{y^2}3=1$; (2) $1$; (3) 值恒为$-3$, 证明略",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -374230,7 +374231,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) 振幅为$\\sqrt{2}$, 周期为$2\\pi$, 初相位为$\\dfrac{\\pi}{4}$; (2) $(\\dfrac{\\pi}{3},\\dfrac{5\\pi}3]$; (3) $(0,1)$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -374251,7 +374252,7 @@
             "第一单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\{1\\}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -374272,7 +374273,7 @@
             "第五单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$5$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -374293,7 +374294,7 @@
             "第五单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$-1$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -374314,7 +374315,7 @@
             "第八单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$0.94$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -374335,7 +374336,7 @@
             "第三单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$-\\dfrac{24}{7}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -374356,7 +374357,7 @@
             "第八单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$28$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -374377,7 +374378,7 @@
             "第六单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$50$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -374398,7 +374399,7 @@
             "第八单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac 13$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -374419,7 +374420,7 @@
             "第四单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac 8{11}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -374440,7 +374441,7 @@
             "第三单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$9$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -374461,7 +374462,7 @@
             "第二单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{\\sqrt{2}}2$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -374482,7 +374483,7 @@
             "第五单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\sqrt{15}a$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -374503,7 +374504,7 @@
             "第七单元"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "B",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -374524,7 +374525,7 @@
             "第九单元"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "B",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -374545,7 +374546,7 @@
             "第一单元"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "C",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -374566,7 +374567,7 @@
             "第二单元"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "B",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -374587,7 +374588,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $\\dfrac \\pi 3$; (2) $\\dfrac 32$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -374608,7 +374609,7 @@
             "第六单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) 证明略; (2) $\\arctan\\dfrac{2\\sqrt{5}}5$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -374629,7 +374630,7 @@
             "第二单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $43.3$亿元; (2) (i) 全款购车两年后资产总额为$0.0322a$万元, 分期付款购车两年后资产总额为$0.0233a$万元, 应选择全款购车; (ii) $a<21.2134$, 这一措施对购买A, B, C车型有效",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -374650,7 +374651,7 @@
             "第七单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $C_1:\\dfrac{x^2}2+y^2=1$, $C_2:\\dfrac{x^2}2-y^2=1$; (2) $y=\\dfrac 12 x$或$y=-\\dfrac 12 x$; (3) $2$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -374671,7 +374672,7 @@
             "第二单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $g(x)=f(h(x))$; (2) 导函数为$2(2x)^{2x}(1+\\ln (2x))$, 最小值为$(\\dfrac 1{\\mathrm{e}})^{\\frac 1{\\mathrm{e}}}$; (3) 证明略",
         "solution": "",
         "duration": -1,
         "usages": [],