diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json
index 74e4d711..c527dafc 100644
--- a/题库0.3/Problems.json
+++ b/题库0.3/Problems.json
@@ -368806,6 +368806,405 @@
         "remark": "",
         "space": "12ex"
     },
+    "014996": {
+        "id": "014996",
+        "content": "已知集合$A=\\{x | x^2+x-6<0,\\ x \\in \\mathbf{R}\\}$, $B=\\{0,1,2\\}$, 则$A \\cap B=$\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023届浦东新区高三二模试题1",
+        "edit": [
+            "202304012\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "014997": {
+        "id": "014997",
+        "content": "若复数$z$满足$z(1-\\mathrm{i})=1+2 \\mathrm{i}$($\\mathrm{i}$是虚数单位), 则复数$z=$\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023届浦东新区高三二模试题2",
+        "edit": [
+            "202304012\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "014998": {
+        "id": "014998",
+        "content": "若圆柱的高为$10$, 底面积为$4 \\pi$, 则这个圆柱的侧面积为\\blank{50}.(结果保留$\\pi$)",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023届浦东新区高三二模试题3",
+        "edit": [
+            "202304012\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "014999": {
+        "id": "014999",
+        "content": "$(x+3)^5$的二项展开式中$x^2$项的系数为\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023届浦东新区高三二模试题4",
+        "edit": [
+            "202304012\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "015000": {
+        "id": "015000",
+        "content": "设随机变量$X$服从正态分布$N(0, \\sigma^2)$, 且$P(X>-2)=0.9$, 则$P(X>2)=$\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023届浦东新区高三二模试题5",
+        "edit": [
+            "202304012\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "015001": {
+        "id": "015001",
+        "content": "双曲线$C: \\dfrac{x^2}{2}-\\dfrac{y^2}{4}=1$的右焦点$F$到其一条渐近线的距离为\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023届浦东新区高三二模试题6",
+        "edit": [
+            "202304012\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "015002": {
+        "id": "015002",
+        "content": "投掷一颗骰子, 记事件$A=\\{2,4,5\\}$, $B=\\{1,2,4,6\\}$, 则$P(A | B)=$\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023届浦东新区高三二模试题7",
+        "edit": [
+            "202304012\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "015003": {
+        "id": "015003",
+        "content": "在$\\triangle ABC$中, 角$A$、$B$、$C$的对边分别记为$a$、$b$、$c$, 若$5 a \\cos A=b \\cos C+c \\cos B$, 则$\\sin 2A=$\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023届浦东新区高三二模试题8",
+        "edit": [
+            "202304012\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "015004": {
+        "id": "015004",
+        "content": "函数$y=\\log _2 x+\\dfrac{1}{\\log _4(2 x)}$在区间$(\\dfrac{1}{2},+\\infty)$上的最小值为\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023届浦东新区高三二模试题9",
+        "edit": [
+            "202304012\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "015005": {
+        "id": "015005",
+        "content": "已知$\\omega \\in \\mathbf{R}$, $\\omega>0$, 函数$y=\\sqrt{3} \\sin \\omega x-\\cos \\omega x$在区间$[0,2]$上有唯一的最小值$-2$, 则$\\omega$的取值范围为\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023届浦东新区高三二模试题10",
+        "edit": [
+            "202304012\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "015006": {
+        "id": "015006",
+        "content": "已知边长为$2$的菱形$ABCD$中, $\\angle A=120^{\\circ}$, $P$、$Q$是菱形内切圆上的两个动点, 且$PQ \\perp BD$, 则$\\overrightarrow{AP} \\cdot \\overrightarrow{CQ}$的最大值是\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023届浦东新区高三二模试题11",
+        "edit": [
+            "202304012\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "015007": {
+        "id": "015007",
+        "content": "已知$0<a<b<1$, 设$W(x)=(x-a)^3(x-b)$, $f_k(x)=\\dfrac{W(x)-W(k)}{x-k}$, 其中$k$是整数. 若对一切$k \\in \\mathbf{Z}$, $y=f_k(x)$都是区间$(k,+\\infty)$上的严格增函数. 则$\\dfrac{b}{a}$的取值范围是\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023届浦东新区高三二模试题12",
+        "edit": [
+            "202304012\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "015008": {
+        "id": "015008",
+        "content": "已知$x \\in \\mathbf{R}$, 则``$|x+1|+|x-1| \\leq 2$''是``$\\dfrac{1}{x}>1$''的\\bracket{20}.\n\\twoch{充分不必要条件}{必要不充分条件}{充要条件}{既不充分也不必要条件}",
+        "objs": [],
+        "tags": [],
+        "genre": "选择题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023届浦东新区高三二模试题13",
+        "edit": [
+            "202304012\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "015009": {
+        "id": "015009",
+        "content": "某种产品的广告支出$x$与销售额$y$(单位: 万元) 之间有下表关系, $y$与$x$的线性回归方程为$y=10.5 x+5.4$, 当广告支出$6$万元时, 随机误差的效应即离差(真实值减去预报值)为\\bracket{20}.\n\\begin{center}\n\\begin{tabular}{|c|c|c|c|c|c|}\n\\hline$x$& 2 & 4 & 5 & 6 & 8 \\\\\n\\hline$y$& 30 & 40 & 60 & 70 & 80 \\\\\n\\hline\n\\end{tabular}\n\\end{center}\n\\fourch{$1.6$}{$8.4$}{$11.6$}{$7.4$}",
+        "objs": [],
+        "tags": [],
+        "genre": "选择题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023届浦东新区高三二模试题14",
+        "edit": [
+            "202304012\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "015010": {
+        "id": "015010",
+        "content": "在空间中, 下列命题为真命题的是\\bracket{20}.\n\\onech{若两条直线垂直于第三条直线, 则这两条直线互相平行}{若两个平面分别平行于两条互相垂直的直线, 则这两个平面互相垂直}{若两个平面垂直, 则过一个平面内一点垂直于交线的直线与另外一个平面垂直}{若一条直线平行于一个平面, 另一条直线与这个平面垂直, 则这两条直线互相垂直}",
+        "objs": [],
+        "tags": [],
+        "genre": "选择题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023届浦东新区高三二模试题15",
+        "edit": [
+            "202304012\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "015011": {
+        "id": "015011",
+        "content": "已知函数$y=f(x)$($x \\in \\mathbf{R}$), 其导函数为$y=f'(x)$, 有以下两个命题: \\textcircled{1} 若$y=f'(x)$为偶函数, 则$y=f(x)$为奇函数; \\textcircled{2} 若$y=f'(x)$为周期函数, 则$y=f(x)$也为周期函数. 那么\\bracket{20}.\n\\twoch{\\textcircled{1}是真命题, \\textcircled{2}是假命题}{\\textcircled{1}是假命题, \\textcircled{2}是真命题}{\\textcircled{1}、\\textcircled{2}都是真命题}{\\textcircled{1}、\\textcircled{2}都是假命题}",
+        "objs": [],
+        "tags": [],
+        "genre": "选择题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023届浦东新区高三二模试题16",
+        "edit": [
+            "202304012\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "015012": {
+        "id": "015012",
+        "content": "已知数列$\\{a_n\\}$是首项为$9$, 公比为$\\dfrac{1}{3}$的等比数列.\\\\\n(1) 求$\\dfrac{1}{a_1}+\\dfrac{1}{a_2}+\\dfrac{1}{a_3}+\\dfrac{1}{a_4}+\\dfrac{1}{a_5}$的值;\\\\\n(2) 设数列$\\{\\log _3 a_n\\}$的前$n$项和为$S_n$, 求$S_n$的最大值, 并指出$S_n$取最大值时$n$的取值.",
+        "objs": [],
+        "tags": [],
+        "genre": "解答题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023届浦东新区高三二模试题17",
+        "edit": [
+            "202304012\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "12ex"
+    },
+    "015013": {
+        "id": "015013",
+        "content": "如图, 三角形$EAD$与梯形$ABCD$所在的平面互相垂直, $AE \\perp AD$, $AB \\perp AD$, $BC\\parallel AD$, $AB=AE=BC=2$, $AD=4$, $F$、$H$分别为$ED$、$EA$的中点.\n\\begin{center}\n\\begin{tikzpicture}[>=latex]\n\\draw (0,0,0) node [below] {$A$} coordinate (A);\n\\draw (4,0,0) node [right] {$D$} coordinate (D);\n\\draw (0,2,0) node [above] {$E$} coordinate (E);\n\\draw (0,0,2) node [below] {$B$} coordinate (B);\n\\draw (2,0,2) node [below] {$C$} coordinate (C);\n\\draw ($(E)!0.5!(D)$) node [above] {$F$} coordinate (F);\n\\draw ($(A)!0.5!(E)$) node [right] {$H$} coordinate (H);\n\\draw (B)--(C)--(D)--(E)--cycle(C)--(F)(E)--(C);\n\\draw [dashed] (B)--(H)(E)--(A)--(B)(A)--(C)(A)--(D)(A)--(F);\n\\end{tikzpicture}\n\\end{center}\n(1) 求证: $BH\\parallel$平面$AFC$;\\\\\n(2) 求平面$ACF$与平面$EAB$所成锐二面角的余弦值.",
+        "objs": [],
+        "tags": [],
+        "genre": "解答题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023届浦东新区高三二模试题18",
+        "edit": [
+            "202304012\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "12ex"
+    },
+    "015014": {
+        "id": "015014",
+        "content": "为了庆祝党的二十大顺利召开, 某学校特举办主题为``重温光辉历史展现坚定信心''的百科知识小测试比赛. 比赛分抢答和必答两个环节, 两个环节均设置$10$道题, 其中$5$道人文历史题和$5$道地理环境题.\\\\\n(1) 在抢答环节, 某代表队非常积极, 抢到$4$次答题机会, 求该代表队至少抢到$1$道地理环境题的概率;\\\\\n(2) 在必答环节, 每个班级从$5$道人文历史题和$5$道地理环境题各选$2$题, 各题答对与否相互独立, 每个代表队可以先选择人文历史题, 也可以先选择地理环境题开始答题. 若中间有一题答错就退出必答环节, 仅当第一类问题中$2$题均答对, 才有资格开始第二类问题答题. 已知答对$1$道人文历史题得$2$分, 答对$1$道地理环境题得$3$分. 假设某代表队答对人文历史题的概率都是$\\dfrac{3}{5}$, 答对地理环境题的概率都是$\\dfrac{1}{3}$. 请你为该代表队作出答题顺序的选择, 使其得分期望值更大, 并说明理由.",
+        "objs": [],
+        "tags": [],
+        "genre": "解答题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023届浦东新区高三二模试题19",
+        "edit": [
+            "202304012\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "12ex"
+    },
+    "015015": {
+        "id": "015015",
+        "content": "椭圆$C$的方程为$x^2+3 y^2=4$, $A$、$B$为椭圆的左右顶点, $F_1$、$F_2$为左右焦点, $P$为椭圆上的动点.\\\\\n(1) 求椭圆的离心率;\\\\\n(2) 若$\\triangle PF_1F_2$为直角三角形, 求$\\triangle PF_1F_2$的面积;\\\\\n(3) 若$Q$、$R$为椭圆上异于$P$的点, 直线$PQ$、$PR$均与圆$x^2+y^2=r^2$($0<r<1$)相切, 记直线$PQ$、$PR$的斜率分别为$k_1$、$k_2$, 是否存在位于第一象限的点$P$, 使得$k_1 k_2=1$? 若存在, 求出点$P$的坐标, 若不存在, 请说明理由.",
+        "objs": [],
+        "tags": [],
+        "genre": "解答题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023届浦东新区高三二模试题20",
+        "edit": [
+            "202304012\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "12ex"
+    },
+    "015016": {
+        "id": "015016",
+        "content": "设$P$是坐标平面$xOy$上的一点, 曲线$\\Gamma$是函数$y=f(x)$的图像. 若过点$P$恰能作曲线$\\Gamma$的$k$条切线($k \\in \\mathbf{N}$), 则称$P$是函数$y=f(x)$的``$k$度点''\\\\\n(1) 判断点$O(0,0)$与点$A(2,0)$是否为函数$y=\\ln x$的$1$度点, 不需要说明理由;\\\\\n(2) 已知$0<m<\\pi$, $g(x)=\\sin x$. 证明: 点$B(0, \\pi)$是$y=g(x)$($0<x<m$)的$0$度点;\\\\\n(3) 求函数$y=x^3-x$的全体$2$度点构成的集合.",
+        "objs": [],
+        "tags": [],
+        "genre": "解答题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023届浦东新区高三二模试题21",
+        "edit": [
+            "202304012\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "12ex"
+    },
     "020001": {
         "id": "020001",
         "content": "判断下列各组对象能否组成集合, 若能组成集合, 指出是有限集还是无限集.\\\\\n(1) 上海市控江中学$2022$年入学的全体高一年级新生;\\\\\n(2) 中国现有各省的名称;\\\\\n(3) 太阳、$2$、上海市;\\\\\n(4) 大于$10$且小于$15$的有理数;\\\\\n(5) 末位是$3$的自然数;\\\\\n(6) 影响力比较大的中国数学家;\\\\\n(7) 方程$x^2+x-3=0$的所有实数解;\\\\ \n(8) 函数$y=\\dfrac 1x$图像上所有的点;\\\\ \n(9) 在平面直角坐标系中, 到定点$(0, 0)$的距离等于$1$的所有点;\\\\\n(10) 不等式$3x-10<0$的所有正整数解;\\\\\n(11) 所有的平面四边形.",