收录高一下周末卷17及小测, 更新分类题号记录

工具/批量收录题目.py

@@ -1,9 +1,9 @@
 #修改起始id,出处,文件名
-starting_id = 17486
+starting_id = 40862
 raworigin = ""
-filename = r"C:\Users\weiye\Documents\wwy sync\临时工作区\自拟题目12.tex"
+filename = r"C:\Users\weiye\Documents\wwy sync\临时工作区\自拟题目13.tex"
-editor = "20230602\t王伟叶"
+editor = "20230605\t王伟叶"
-indexed = True
+indexed = False
 IndexDescription = "试题"
 
 import os,re,json

工具/文本文件/批量题目分类号记录.txt

@@ -234,12 +234,14 @@ problems_dict =  {
 "2025届高一下学期周末卷15小测":"40791:40798",
 "2025届高一下学期周末卷16":"40809:40828",
 "2025届高一下学期周末卷16小测":"40829:40840",
+"2025届高一下学期周末卷17":"40862:40881",
+"2025届高一下学期周末卷17小测":"40882:40889",
 "2025届高一下学期期中复习一(集合逻辑不等式)":"40283:40298",
 "2025届高一下学期期中复习二(幂指对函数)":"40368:40386",
 "2025届高一下学期测验01":"40336:40349",
 "2025届高一下学期测验02":"40350:40367",
 "2025届高一下学期测验03":"40738:40752",
-"2025届高一下学期测验03":"40841:40861",
+"2025届高一下学期测验04":"40841:40861",
 "2025届高一下学期区期中统考试题":"15269:15289",
 "2024届高二下学期周末卷01":"40001:40017",
 "2024届高二下学期周末卷02":"40037:40056",

工具/新题相似相同比对.py

@@ -5,7 +5,7 @@ old_problems_range = "1:50000"
 threshold = 0.85
 
 # 待比对的文件
-filename = r"C:\Users\weiye\Documents\wwy sync\临时工作区\自拟题目9.tex"
+filename = r"C:\Users\weiye\Documents\wwy sync\临时工作区\自拟题目13.tex"
 
 #生成数码列表, 逗号分隔每个区块, 区块内部用:表示整数闭区间
 def generate_number_set(string):

题库0.3/Problems.json

@@ -560814,5 +560814,565 @@
         "remark": "",
         "space": "4em",
         "unrelated": []
+    },
+    "040862": {
+        "id": "040862",
+        "content": "直线$(x+2)+2(y-3)=0$的斜率为\\blank{50}, 倾斜角为\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2025届高一下学期周末卷17",
+        "edit": [
+            "20230605\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "040863": {
+        "id": "040863",
+        "content": "若直线$l$过点$(2,-3)$, 且平行于向量$\\overrightarrow {d}=(3,4)$, 则直线$l$的方程为\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2025届高一下学期周末卷17",
+        "edit": [
+            "20230605\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "040864": {
+        "id": "040864",
+        "content": "若直线$l$经过两点$A(1,-2)$、$B(3,1)$, 且与向量$\\overrightarrow {d}=(2, m)$平行, 则$m=$\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2025届高一下学期周末卷17",
+        "edit": [
+            "20230605\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "040865": {
+        "id": "040865",
+        "content": "直线$x+2=0$与直线$\\sqrt{3} x+y+3=0$的夹角是\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2025届高一下学期周末卷17",
+        "edit": [
+            "20230605\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "040866": {
+        "id": "040866",
+        "content": "若实数$x$、$y$满足关系式$4 x+3 y-12=0$, 则$\\sqrt{x^2+y^2}$的最小值为\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2025届高一下学期周末卷17",
+        "edit": [
+            "20230605\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "040867": {
+        "id": "040867",
+        "content": "若直线$l_1: (2-m) x+m x+3=0$的法向量恰为直线$l_2: x-m y-3=0$的方向向量, 则$m=$\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2025届高一下学期周末卷17",
+        "edit": [
+            "20230605\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "040868": {
+        "id": "040868",
+        "content": "已知直线$l$过点$A(-2,5)$、$B(3,-1)$, 若将直线$l$绕点$A$旋转$90^{\\circ}$得到直线$m$, 则直线$m$的点法式方程是\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2025届高一下学期周末卷17",
+        "edit": [
+            "20230605\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "040869": {
+        "id": "040869",
+        "content": "直线$x \\cos a-y+1=0$的倾斜角的范围是\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2025届高一下学期周末卷17",
+        "edit": [
+            "20230605\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "040870": {
+        "id": "040870",
+        "content": "在$\\triangle ABC$中, 已知顶点$A$、$B$、$C$的坐标分别为$(2,1)$、$(-3,-4)$、$(3,6)$, 则过点$A$且平分$\\triangle ABC$面积的直线方程是\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2025届高一下学期周末卷17",
+        "edit": [
+            "20230605\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "040871": {
+        "id": "040871",
+        "content": "若直线$l$经过点$(3,4)$, 且与直线$x+2 y-1=0$的夹角为$\\arctan \\dfrac{1}{2}$, 则直线$l$的方程是\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2025届高一下学期周末卷17",
+        "edit": [
+            "20230605\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "040872": {
+        "id": "040872",
+        "content": "已知三角形$ABC$的各顶点分别为$A(1,3)$、$B(-2,-1)$、$C(4,-3)$, 则$AC$边上中线$BD$所在直线的方程为\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2025届高一下学期周末卷17",
+        "edit": [
+            "20230605\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "040873": {
+        "id": "040873",
+        "content": "若直线$l$过点$A(-1,1)$、且与点$B(2,5)$的距离最大的直线$l$的点法式方程为\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2025届高一下学期周末卷17",
+        "edit": [
+            "20230605\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "040874": {
+        "id": "040874",
+        "content": "过点$(-1,1)$与点$(3,9)$的直线在$x$轴上的截距是\\bracket{20}.\n\\fourch{$-\\dfrac{3}{2}$}{$\\dfrac{3}{2}$}{$-3$}{$3$}",
+        "objs": [],
+        "tags": [],
+        "genre": "选择题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2025届高一下学期周末卷17",
+        "edit": [
+            "20230605\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "040875": {
+        "id": "040875",
+        "content": "经过点$A(1,0)$、$B(m, 2)$的直线方程是\\bracket{20}.\n\\twoch{$x-1=0$}{$\\dfrac{x-1}{m-1}=\\dfrac{y}{2}$}{$x-1=0$或$\\dfrac{x-1}{m-1}=\\dfrac{y}{2}$}{$x-1=0$或$(m-1) x+2 y=0$}",
+        "objs": [],
+        "tags": [],
+        "genre": "选择题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2025届高一下学期周末卷17",
+        "edit": [
+            "20230605\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "040876": {
+        "id": "040876",
+        "content": "下列结论中, 正确的是\\bracket{20}.\n\\onech{一条直线的倾斜角的正切叫做直线的斜率}{若一条直线经过$(x_1, y_1) 、(x_2, y_2)$两点, 则这条直线的斜率$k=\\dfrac{y_2-y_1}{x_2-x_1}$}{直线的倾斜角的变化范围是$[0, \\dfrac{\\pi}{2}) \\cup(\\dfrac{\\pi}{2}, \\pi)$}{若直线$l$平行于$x$轴, 则$l$的倾斜角为$0$}",
+        "objs": [],
+        "tags": [],
+        "genre": "选择题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2025届高一下学期周末卷17",
+        "edit": [
+            "20230605\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "040877": {
+        "id": "040877",
+        "content": "已知三条直线$l_1: 2 x+1=0$, 直线$l_2: m x+y=0$, 直线$l_3: x+m y-1=0$, 若这三条直线中有两条直线平行, 则实数$m$所有可能的值的个数为\\bracket{20}.\n\\fourch{$2$}{$3$}{$4$}{$5$}",
+        "objs": [],
+        "tags": [],
+        "genre": "选择题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2025届高一下学期周末卷17",
+        "edit": [
+            "20230605\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "040878": {
+        "id": "040878",
+        "content": "已知直线$l$过点$(1,2)$, 且$M(2,3)$、$N(0,5)$两点到直线$l$的距离相等, 求直线$l$的直线方程.",
+        "objs": [],
+        "tags": [],
+        "genre": "解答题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2025届高一下学期周末卷17",
+        "edit": [
+            "20230605\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "4em",
+        "unrelated": []
+    },
+    "040879": {
+        "id": "040879",
+        "content": "已知直线$l$过点$P(3,2)$, 且与直线$m: a(x-1)+b(y+2)=0$($a$、$b \\in \\mathbf{R}$)垂直.\\\\ \n(1) 求直线$l$的方程;\\\\\n(2) 若直线$m$过点$(2,1)$, 求直线$2 a x+b y=0$所经过的定点坐标.",
+        "objs": [],
+        "tags": [],
+        "genre": "解答题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2025届高一下学期周末卷17",
+        "edit": [
+            "20230605\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "4em",
+        "unrelated": []
+    },
+    "040880": {
+        "id": "040880",
+        "content": "已知直线$l_1: (m+2) x+(m^2-3 m) y+4=0$和直线$l_2: 2 m x+2(m-3) y+m+2=0$.\\\\\n(1) 当$m$为何值时, 直线$l_1$与直线$l_2$相交?\\\\\n(2) 当$m$为何值时, 直线$l_1$与直线$l_2$平行?\\\\\n(3) 当$m$为何值时, 直线$l_1$直线$l_2$重合?",
+        "objs": [],
+        "tags": [],
+        "genre": "解答题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2025届高一下学期周末卷17",
+        "edit": [
+            "20230605\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "4em",
+        "unrelated": []
+    },
+    "040881": {
+        "id": "040881",
+        "content": "在直线$y=-2 x+4$上选一点$A$, 在抛物线$y=-x^2+1$上选一点$B$.\\\\\n(1) 求使$A$、$B$两点距离最短时点$A$、$B$的坐标;\\\\\n(2) 若点$P$为$x$轴上的一点, 且与点$A$、$B$构成面积为$4$的三角形, 求点$P$的坐标.",
+        "objs": [],
+        "tags": [],
+        "genre": "解答题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2025届高一下学期周末卷17",
+        "edit": [
+            "20230605\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "4em",
+        "unrelated": []
+    },
+    "040882": {
+        "id": "040882",
+        "content": "若不论$a$为何实数, 直线$(a+3) x+(2 a-1) y+7=0$恒过一个定点, 则这个定点的坐标是\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2025届高一下学期周末卷17小测",
+        "edit": [
+            "20230605\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "040883": {
+        "id": "040883",
+        "content": "若直线$l_1$与直线$l_2: 3 x+4 y-7=0$垂直, 且原点到直线$l_1$的距离为 $5$, 则直线$l_1$的方程为\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2025届高一下学期周末卷17小测",
+        "edit": [
+            "20230605\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "040884": {
+        "id": "040884",
+        "content": "直线$l$经过点$(2,4)$, 且在两坐标轴上的截距相等, 则直线$l$的方程是\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2025届高一下学期周末卷17小测",
+        "edit": [
+            "20230605\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "040885": {
+        "id": "040885",
+        "content": "若$a, b \\in \\mathbf{R}$, 直线$a x+b y+c=0$($a>0$, $b>0$)的倾斜角是\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2025届高一下学期周末卷17小测",
+        "edit": [
+            "20230605\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "040886": {
+        "id": "040886",
+        "content": "若直线$l$经过点$(3,2)$, 且与直线$x-y+3=0$的夹角是$45^{\\circ}$, 则直线$l$的方程是\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2025届高一下学期周末卷17小测",
+        "edit": [
+            "20230605\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "040887": {
+        "id": "040887",
+        "content": "已知$4A+5B+6=0$. 若直线$l: A x+B y+1=0$必经过定点, 则这个定点的坐标是\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2025届高一下学期周末卷17小测",
+        "edit": [
+            "20230605\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "040888": {
+        "id": "040888",
+        "content": "已知$C_1, C_2 \\in \\mathbf{R}$, $C_1 \\neq C_2$, 直线$l$与直线$l_1: A x+B y+C_1=0$和直线$l_2: A x+B y+C_2=0$都平行, 且到它们的距离相等, 求直线$l$的方程.",
+        "objs": [],
+        "tags": [],
+        "genre": "解答题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2025届高一下学期周末卷17小测",
+        "edit": [
+            "20230605\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "4em",
+        "unrelated": []
+    },
+    "040889": {
+        "id": "040889",
+        "content": "已知集合$A=\\{(x, y) | \\dfrac{y-3}{x-2}=a+1\\}$, 集合$E=\\{(x, y) |(a^2-1) x+(a-1) y-15=0\\}$, 是否存在实数$a$, 使$A \\cap B=\\varnothing$? 若存在, 求出$a$的值; 若不存在, 说明理由.",
+        "objs": [],
+        "tags": [],
+        "genre": "解答题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2025届高一下学期周末卷17小测",
+        "edit": [
+            "20230605\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "4em",
+        "unrelated": []
     }
 }