From b12ad5cf21df30000e2c1c6da0683e91f081f589 Mon Sep 17 00:00:00 2001
From: wangweiye7840 <kj_wangweiye@126.com>
Date: Thu, 7 Mar 2024 16:24:06 +0800
Subject: [PATCH] =?UTF-8?q?=E5=AF=BC=E5=85=A5T20260203=E6=96=B0=E9=A2=98?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 工具v2/文本文件/新题收录列表.txt |   3 +
 题库0.3/Problems.json            | 481 +++++++++++++++++++++++++++++--
 2 files changed, 465 insertions(+), 19 deletions(-)

diff --git a/工具v2/文本文件/新题收录列表.txt b/工具v2/文本文件/新题收录列表.txt
index f05a3672..10951aad 100644
--- a/工具v2/文本文件/新题收录列表.txt
+++ b/工具v2/文本文件/新题收录列表.txt
@@ -409,3 +409,6 @@
 20240307-121505 高一下学期统考复习卷02
 024641:024659
 
+20240307-162342 高一下学期统考复习卷03
+024660:024678
+
diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json
index 17f1c46a..edb3fd36 100644
--- a/题库0.3/Problems.json
+++ b/题库0.3/Problems.json
@@ -30933,7 +30933,9 @@
         "edit": [
             "20220624\t朱敏慧, 王伟叶"
         ],
-        "same": [],
+        "same": [
+            "024668"
+        ],
         "related": [
             "000362",
             "011248",
@@ -164958,7 +164960,9 @@
             "20220720\t王伟叶"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "024661"
+        ],
         "remark": "",
         "space": "",
         "unrelated": []
@@ -165931,7 +165935,9 @@
             "20220720\t王伟叶"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "024660"
+        ],
         "remark": "",
         "space": "",
         "unrelated": []
@@ -165955,7 +165961,9 @@
             "20220720\t王伟叶"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "024661"
+        ],
         "remark": "",
         "space": "",
         "unrelated": []
@@ -171478,7 +171486,8 @@
         "same": [],
         "related": [
             "005636",
-            "024004"
+            "024004",
+            "024667"
         ],
         "remark": "",
         "space": "",
@@ -171972,7 +171981,9 @@
             "20220720\t王伟叶"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "024666"
+        ],
         "remark": "",
         "space": "",
         "unrelated": []
@@ -230538,7 +230549,8 @@
         ],
         "same": [],
         "related": [
-            "008007"
+            "008007",
+            "024672"
         ],
         "remark": "",
         "space": "4em",
@@ -231022,7 +231034,8 @@
             "010127"
         ],
         "related": [
-            "023411"
+            "023411",
+            "024667"
         ],
         "remark": "",
         "space": "4em",
@@ -288211,7 +288224,8 @@
             "008026"
         ],
         "related": [
-            "023411"
+            "023411",
+            "024667"
         ],
         "remark": "",
         "space": "4em",
@@ -559526,7 +559540,9 @@
             "20221223\t王伟叶"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "024664"
+        ],
         "remark": "",
         "space": "",
         "unrelated": []
@@ -562785,7 +562801,9 @@
             "20221230\t王伟叶"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "024677"
+        ],
         "remark": "",
         "space": "4em",
         "unrelated": []
@@ -621180,7 +621198,9 @@
             "20230905\t王伟叶"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "024661"
+        ],
         "remark": "",
         "space": "",
         "unrelated": []
@@ -621646,7 +621666,9 @@
         "edit": [
             "20230905\t王伟叶"
         ],
-        "same": [],
+        "same": [
+            "024676"
+        ],
         "related": [],
         "remark": "",
         "space": "4em",
@@ -621982,7 +622004,9 @@
         "same": [
             "022378"
         ],
-        "related": [],
+        "related": [
+            "024665"
+        ],
         "remark": "",
         "space": "",
         "unrelated": []
@@ -622019,7 +622043,9 @@
             "20231012\t王伟叶"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "024669"
+        ],
         "remark": "",
         "space": "",
         "unrelated": []
@@ -622688,7 +622714,9 @@
         "same": [
             "022355"
         ],
-        "related": [],
+        "related": [
+            "024665"
+        ],
         "remark": "",
         "space": "",
         "unrelated": []
@@ -622952,7 +622980,9 @@
             "20230905\t王伟叶"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "024665"
+        ],
         "remark": "",
         "space": "",
         "unrelated": []
@@ -641013,7 +641043,9 @@
             "20231218\t朱敏慧"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "024677"
+        ],
         "remark": "",
         "space": "4em",
         "unrelated": []
@@ -666357,7 +666389,8 @@
         "related": [
             "031316",
             "005609",
-            "005637"
+            "005637",
+            "024667"
         ],
         "remark": "",
         "space": "",
@@ -681863,6 +681896,416 @@
         "space": "4em",
         "unrelated": []
     },
+    "024660": {
+        "id": "024660",
+        "content": "化简: $(\\dfrac{1}{4})^{-\\frac{1}{2}}\\cdot \\dfrac{(\\sqrt{4 a b^{-1}})^3}{(0.1)^{-1}\\cdot(a^3 \\cdot b^{-3})^{\\frac{1}{2}}}=$\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "导学先锋必修第三章测验试题1",
+        "edit": [
+            "20240307\t朱敏慧"
+        ],
+        "same": [],
+        "related": [
+            "005422"
+        ],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "024661": {
+        "id": "024661",
+        "content": "化简 $(a^{\\frac{2}{3}}b^{\\frac{1}{2}})(-3 a^{\\frac{1}{2}}b^{\\frac{1}{3}}) \\div(\\dfrac{1}{3}a^{\\frac{1}{6}}b^{\\frac{5}{6}})$ 的结果是\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "导学先锋必修第三章测验试题2",
+        "edit": [
+            "20240307\t朱敏慧"
+        ],
+        "same": [],
+        "related": [
+            "022326",
+            "005384",
+            "005423"
+        ],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "024662": {
+        "id": "024662",
+        "content": "计算: $\\lg 2+\\lg 50+3^{1-\\log _92}=$\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "导学先锋必修第三章测验试题3",
+        "edit": [
+            "20240307\t朱敏慧"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "024663": {
+        "id": "024663",
+        "content": "若 $\\log _a 2=m$, $\\log _a 3=n$, 则 $a^{2 m+n}=$\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "导学先锋必修第三章测验试题4",
+        "edit": [
+            "20240307\t朱敏慧"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "024664": {
+        "id": "024664",
+        "content": "已知 $\\lg 6=a$, $\\lg 15=b$, 试用 $a$、$b$ 表示 $\\lg 48=$\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "导学先锋必修第三章测验试题5",
+        "edit": [
+            "20240307\t朱敏慧"
+        ],
+        "same": [],
+        "related": [
+            "020388"
+        ],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "024665": {
+        "id": "024665",
+        "content": "若 $\\lg x+\\lg (4 y)=2 \\lg (x-3 y)$, 则 $\\log _{\\sqrt{3}}x-\\log _{\\sqrt{3}}y$ 的值是\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "导学先锋必修第三章测验试题6",
+        "edit": [
+            "20240307\t朱敏慧"
+        ],
+        "same": [],
+        "related": [
+            "022355",
+            "022378",
+            "022388"
+        ],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "024666": {
+        "id": "024666",
+        "content": "如果 $\\dfrac{1}{\\log _{\\frac{1}{2}}\\dfrac{1}{3}}+\\dfrac{1}{\\log _{\\frac{1}{5}}\\dfrac{1}{3}}=a$, 那么 $3^a=$\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "导学先锋必修第三章测验试题7",
+        "edit": [
+            "20240307\t朱敏慧"
+        ],
+        "same": [],
+        "related": [
+            "005656"
+        ],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "024667": {
+        "id": "024667",
+        "content": "若 $2^x=7^{2 y}=A$, 且 $\\dfrac{1}{x}+\\dfrac{1}{y}=2$, 则 $A$ 的值是\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "导学先锋必修第三章测验试题8",
+        "edit": [
+            "20240307\t朱敏慧"
+        ],
+        "same": [],
+        "related": [
+            "008026",
+            "010127",
+            "005637",
+            "024004"
+        ],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "024668": {
+        "id": "024668",
+        "content": "方程 $\\log _2(9^x+7)=2+\\log _2(3^x+1)$ 的解为\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "导学先锋必修第三章测验试题9",
+        "edit": [
+            "20240307\t朱敏慧"
+        ],
+        "same": [
+            "000850"
+        ],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "024669": {
+        "id": "024669",
+        "content": "若正实数 $a$、$b$、$c$ 均不为 $1$, 满足 $a^x=b^y=c^z$, 且 $\\dfrac{1}{x}+\\dfrac{1}{y}+\\dfrac{1}{z}=0$, 则 $a b c$ 的值为\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "导学先锋必修第三章测验试题10",
+        "edit": [
+            "20240307\t朱敏慧"
+        ],
+        "same": [],
+        "related": [
+            "022356"
+        ],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "024670": {
+        "id": "024670",
+        "content": "下列各式中成立的一项是\\bracket{20}.\n\\fourch{$(\\dfrac{n}{m})^7=n^7 m^{\\frac{1}{7}}$}{$\\sqrt{\\sqrt[3]{9}}=\\sqrt[3]{3}$}{$\\sqrt[4]{x^3+y^3}=(x+y)^{\\frac{3}{4}}$}{$\\sqrt[12]{(-3)^4}=\\sqrt[3]{-3}$}",
+        "objs": [],
+        "tags": [],
+        "genre": "选择题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "导学先锋必修第三章测验试题11",
+        "edit": [
+            "20240307\t朱敏慧"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "024671": {
+        "id": "024671",
+        "content": "若 $(3 x-2)^{-\\frac{1}{2}}+(x-2)^0$ 有意义, 则 $x$ 的取值范围是\\bracket{20}.\n\\fourch{$[\\dfrac{2}{3},+\\infty)$}{$(\\dfrac{2}{3},+\\infty)$}{$[\\dfrac{2}{3}, 2) \\cup (2,+\\infty)$}{$(\\dfrac{2}{3}, 2) \\cup (2,+\\infty)$}",
+        "objs": [],
+        "tags": [],
+        "genre": "选择题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "导学先锋必修第三章测验试题12",
+        "edit": [
+            "20240307\t朱敏慧"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "024672": {
+        "id": "024672",
+        "content": "若 $2 \\log _a(M-2N)=\\log _a M+\\log _a N$, 则 $\\dfrac{M}{N}$ 的值为\\bracket{20}.\n\\fourch{$\\dfrac{1}{4}$}{4}{1}{4 或 1}",
+        "objs": [],
+        "tags": [],
+        "genre": "选择题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "导学先锋必修第三章测验试题13",
+        "edit": [
+            "20240307\t朱敏慧"
+        ],
+        "same": [],
+        "related": [
+            "008008"
+        ],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "024673": {
+        "id": "024673",
+        "content": "若 $x^2+y^2=1$, $x>0$, $y>0$, 且 $\\log _a(1+x)=m$, $\\log _a \\dfrac{1}{1-x}=n$,则 $\\log _a y$ 等于\n\\fourch{$m+n$}{$m-n$}{$\\dfrac{1}{2}(m+n)$}{$\\dfrac{1}{2}(m-n)$}",
+        "objs": [],
+        "tags": [],
+        "genre": "解答题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "导学先锋必修第三章测验试题14",
+        "edit": [
+            "20240307\t朱敏慧"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "4em",
+        "unrelated": []
+    },
+    "024674": {
+        "id": "024674",
+        "content": "已知 $a+a^{-1}=7$, 求下列各式的值:\\\\\n(1) $\\dfrac{a^{\\frac{3}{2}}-a^{-\\frac{3}{2}}}{a^{\\frac{1}{2}}-a^{-\\frac{1}{2}}}$\\\\\n(2) $a^{\\frac{1}{2}}+a^{-\\frac{1}{2}}$;\\\\\n(3) $a^2-a^{-2}$($a>1$).",
+        "objs": [],
+        "tags": [],
+        "genre": "解答题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "导学先锋必修第三章测验试题15",
+        "edit": [
+            "20240307\t朱敏慧"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "4em",
+        "unrelated": []
+    },
+    "024675": {
+        "id": "024675",
+        "content": "设 $a$、$b$、$c$ 为正数, 且满足 $a^2+b^2=c^2$, 若 $\\log _4(1+\\dfrac{b+c}{a})=1$, $\\log _8(a+b-c)=\\dfrac{2}{3}$, 求 $a$、$b$、$c$ 的值.",
+        "objs": [],
+        "tags": [],
+        "genre": "解答题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "导学先锋必修第三章测验试题16",
+        "edit": [
+            "20240307\t朱敏慧"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "4em",
+        "unrelated": []
+    },
+    "024676": {
+        "id": "024676",
+        "content": "设 $x>1$, $y>1$, 且 $2 \\log _x y-2 \\log _y x+3=0$, 求 $T=x^2-4 y^2$ 的最小值.",
+        "objs": [],
+        "tags": [],
+        "genre": "解答题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "导学先锋必修第三章测验试题17",
+        "edit": [
+            "20240307\t朱敏慧"
+        ],
+        "same": [
+            "022340"
+        ],
+        "related": [],
+        "remark": "",
+        "space": "4em",
+        "unrelated": []
+    },
+    "024677": {
+        "id": "024677",
+        "content": "已知不等式 $2(\\log _{\\frac{1}{2}}x)^2+9(\\log _{\\frac{1}{2}}x)+9 \\leq 0$ 的解集为 $M$, 求当 $x \\in M$ 时, 函数 $y=(\\log _2 \\dfrac{x}{2})(\\log _2 \\dfrac{x}{8})$ 的最大值和最小值.",
+        "objs": [],
+        "tags": [],
+        "genre": "解答题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "导学先锋必修第三章测验试题18",
+        "edit": [
+            "20240307\t朱敏慧"
+        ],
+        "same": [],
+        "related": [
+            "020491",
+            "022965"
+        ],
+        "remark": "",
+        "space": "4em",
+        "unrelated": []
+    },
+    "024678": {
+        "id": "024678",
+        "content": "已知 $\\dfrac{\\lg x+\\lg y}{\\lg x}+\\dfrac{\\lg x+\\lg y}{\\lg y}+\\dfrac{[\\lg (x-y)]^2}{\\lg x \\cdot \\lg y}=0$, 求 $\\log _2(x y)$的值.",
+        "objs": [],
+        "tags": [],
+        "genre": "解答题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "导学先锋必修第三章测验试题19",
+        "edit": [
+            "20240307\t朱敏慧"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "4em",
+        "unrelated": []
+    },
     "030001": {
         "id": "030001",
         "content": "若$x,y,z$都是实数, 则:(填写``\\textcircled{1} 充分非必要、\\textcircled{2} 必要非充分、\\textcircled{3} 充要、\\textcircled{4} 既非充分又非必要''之一)\\\\\n(1) ``$xy=0$''是``$x=0$''的\\blank{50}条件;\\\\\n(2) ``$x\\cdot y=y\\cdot z$''是``$x=z$''的\\blank{50}条件;\\\\\n(3) ``$\\dfrac xy=\\dfrac yz$''是``$xz=y^2$''的\\blank{50}条件;\\\\\n(4) ``$|x |>| y|$''是``$x>y>0$''的\\blank{50}条件;\\\\\n(5) ``$x^2>4$''是``$x>2$'' 的\\blank{50}条件;\\\\\n(6) ``$x=-3$''是``$x^2+x-6=0$'' 的\\blank{50}条件;\\\\\n(7) ``$|x+y|<2$''是``$|x|<1$且$|y|<1$'' 的\\blank{50}条件;\\\\\n(8) ``$|x|<3$''是``$x^2<9$'' 的\\blank{50}条件;\\\\\n(9) ``$x^2+y^2>0$''是``$x\\ne 0$'' 的\\blank{50}条件;\\\\\n(10) ``$\\dfrac{x^2+x+1}{3x+2}<0$''是``$3x+2<0$'' 的\\blank{50}条件;\\\\\n(11) ``$0<x<3$''是``$|x-1|<2$'' 的\\blank{50}条件.",