From 55ab138c7cb5f4e43f9814f5bb9d247a32fb1066 Mon Sep 17 00:00:00 2001 From: wangweiye7840 Date: Mon, 4 Mar 2024 16:30:04 +0800 Subject: [PATCH] =?UTF-8?q?=E6=94=B6=E5=BD=95=E9=AB=98=E4=BA=8C=E4=B8=8B?= =?UTF-8?q?=E5=AD=A6=E6=9C=9F=E5=91=A8=E6=9C=AB=E5=8D=B703=E6=96=B0?= =?UTF-8?q?=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 | 341 +++++++++++++++++++++++++++++-- 2 files changed, 328 insertions(+), 16 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 a6f495d1..8c470d42 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 @@ -391,3 +391,6 @@ 20240304-143411 024621 +20240304-162932 高二下学期周末卷03 +040965,041052:041058,002376,041059:041060,016660,041061:041062,021253,041063:041064 + diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json index e3db5548..0756b42e 100644 --- a/题库0.3/Problems.json +++ b/题库0.3/Problems.json @@ -76872,7 +76872,9 @@ "20220625\t王伟叶" ], "same": [], - "related": [], + "related": [ + "041052" + ], "remark": "", "space": "", "unrelated": [] @@ -77128,7 +77130,9 @@ "20220625\t王伟叶" ], "same": [], - "related": [], + "related": [ + "041054" + ], "remark": "", "space": "", "unrelated": [] @@ -108149,7 +108153,9 @@ "20220701\t王伟叶" ], "same": [], - "related": [], + "related": [ + "041059" + ], "remark": "", "space": "", "unrelated": [] @@ -108172,7 +108178,9 @@ "20220701\t王伟叶" ], "same": [], - "related": [], + "related": [ + "041062" + ], "remark": "", "space": "", "unrelated": [] @@ -108397,7 +108405,9 @@ "20220701\t王伟叶" ], "same": [], - "related": [], + "related": [ + "041060" + ], "remark": "", "space": "", "unrelated": [] @@ -115678,7 +115688,8 @@ "011562" ], "related": [ - "040964" + "040964", + "041057" ], "remark": "", "space": "", @@ -328213,7 +328224,8 @@ "003678" ], "related": [ - "040964" + "040964", + "041057" ], "remark": "", "space": "", @@ -358657,7 +358669,8 @@ "014459" ], "related": [ - "024417" + "024417", + "041056" ], "remark": "", "space": "", @@ -374512,7 +374525,9 @@ "20230118\t王伟叶" ], "same": [], - "related": [], + "related": [ + "041052" + ], "remark": "", "space": "", "unrelated": [] @@ -411488,7 +411503,8 @@ "012598" ], "related": [ - "024417" + "024417", + "041056" ], "remark": "", "space": "", @@ -464630,7 +464646,9 @@ "20230503\t王伟叶" ], "same": [], - "related": [], + "related": [ + "041056" + ], "remark": "", "space": "", "unrelated": [] @@ -496664,7 +496682,9 @@ "20230606\t王伟叶" ], "same": [], - "related": [], + "related": [ + "041054" + ], "remark": "", "space": "", "unrelated": [] @@ -587506,7 +587526,9 @@ "20230101\t王伟叶" ], "same": [], - "related": [], + "related": [ + "041059" + ], "remark": "", "space": "4em", "unrelated": [] @@ -716921,7 +716943,8 @@ ], "same": [], "related": [ - "024417" + "024417", + "041056" ], "remark": "", "space": "", @@ -762688,7 +762711,8 @@ ], "same": [], "related": [ - "002260" + "002260", + "041061" ], "remark": "", "space": "4em", @@ -762986,7 +763010,8 @@ "same": [], "related": [ "003678", - "011562" + "011562", + "041057" ], "remark": "", "space": "", @@ -765371,5 +765396,289 @@ "remark": "", "space": "", "unrelated": [] + }, + "041052": { + "id": "041052", + "content": "若方程 $\\dfrac{x^2}{|k|-3}+\\dfrac{y^2}{k+4}=1$ 表示双曲线, 则实数 $k$ 的取值范围为\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240304\t蔡海鸾" + ], + "same": [], + "related": [ + "002362", + "013113" + ], + "remark": "", + "space": "", + "unrelated": [] + }, + "041053": { + "id": "041053", + "content": "曲线 $C$ 的方程为 $k^2 x^2+(k^2-9) y^2=k^2(k^2-9)$, 则当且仅当 $k \\in$\\blank{50}时, $C$ 表示椭圆; 当且仅当 $k \\in$\\blank{50}时, $C$ 表示双曲线.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240304\t蔡海鸾" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "041054": { + "id": "041054", + "content": "一条渐近线方程为 $2 x-3 y=0$ 、焦距为 6 的双曲线标准方程为\\blank{50}; 渐近线互相垂直,且 $a^2=c$ 的双曲线标准方程为\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240304\t蔡海鸾" + ], + "same": [], + "related": [ + "002371", + "017953" + ], + "remark": "", + "space": "", + "unrelated": [] + }, + "041055": { + "id": "041055", + "content": "双曲线 $m x^2+y^2=1$ 的虚轴长是实轴长的 3 倍, 则 $m=$\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240304\t蔡海鸾" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "041056": { + "id": "041056", + "content": "双曲线 $4 x^2-y^2=8$ 的两条渐近线所成的锐角是\\blank{50}; 若一双曲线的两渐近线的夹角为 $60^{\\circ}$, 实轴长为 4 , 则焦距为\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240304\t蔡海鸾" + ], + "same": [], + "related": [ + "016558", + "031268", + "014459", + "012598" + ], + "remark": "", + "space": "", + "unrelated": [] + }, + "041057": { + "id": "041057", + "content": "若双曲线 $\\dfrac{x^2}{9}-\\dfrac{y^2}{25}=1$ 的两焦点为 $F_1, F_2, A$ 是该双曲线上的一点, 且 $|AF_1|=9$, 则 $|AF_2|=$\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240304\t蔡海鸾" + ], + "same": [], + "related": [ + "040964", + "003678", + "011562" + ], + "remark": "", + "space": "", + "unrelated": [] + }, + "041058": { + "id": "041058", + "content": "由双曲线 $\\dfrac{x^2}{a^2}-\\dfrac{y^2}{b^2}=1$ 的一个焦点 $F$ 做渐近线的平行线, 分别交渐近线于 $A$、$B$, 则四边形 $OAFB$ 的面积是\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240304\t蔡海鸾" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "041059": { + "id": "041059", + "content": "若直线 $y=k(x-1)$ 与双曲线 $x^2-y^2=4$ 的右支交于不同的两点, 则实数 $k$ 的取值范围为\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240304\t蔡海鸾" + ], + "same": [], + "related": [ + "021259", + "003423" + ], + "remark": "", + "space": "", + "unrelated": [] + }, + "041060": { + "id": "041060", + "content": "双曲线 $\\dfrac{x^2}{12}-\\dfrac{y^2}{4}=1$ 的右焦点为 $F$, 若过点 $F$ 的直线 $l$ 与双曲线的右支恰有一个交点, 则直线 $l$ 的斜率的取值范围是\\blank{50}.若双曲线 $x^2-y^2=1$ 的左焦点为 $F_1$, 点 $P$ 为左支下半支上的任意一点(不含顶点), 则直线 $PF_1$ 的斜率的取值范围是\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240304\t蔡海鸾" + ], + "same": [], + "related": [ + "003432" + ], + "remark": "", + "space": "", + "unrelated": [] + }, + "041061": { + "id": "041061", + "content": "斜率为 $\\dfrac{1}{2}$ 的直线 $l$ 被双曲线 $y^2-x^2=10$ 截得的弦长为 $4 \\sqrt{5}$, 则直线 $l$ 的方程是\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240304\t蔡海鸾" + ], + "same": [], + "related": [ + "040952" + ], + "remark": "", + "space": "", + "unrelated": [] + }, + "041062": { + "id": "041062", + "content": "已知一动圆 $P$ 与两定圆 $O_1:(x+4)^2+y^2=1$, $O_2: x^2+y^2-8 x+7=0$ 均内切, 那么动圆 $P$ 的圆心轨迹是\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240304\t蔡海鸾" + ], + "same": [], + "related": [ + "003424" + ], + "remark": "", + "space": "", + "unrelated": [] + }, + "041063": { + "id": "041063", + "content": "动点 $M$ 到两定点 $(a, 0)$, $(-a, 0)$ 连线的斜率之积为 $k$, 求动点 $M$ 的轨迹, 并讨论当 $k$ 值在实数域 $R$ 内变化时曲线的变化情况.", + "objs": [], + "tags": [], + "genre": "解答题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240304\t蔡海鸾" + ], + "same": [], + "related": [], + "remark": "", + "space": "4em", + "unrelated": [] + }, + "041064": { + "id": "041064", + "content": "已知两定点 $F_1(-\\sqrt{2}, 0), F_2(\\sqrt{2}, 0)$, 满足条件 $|\\overrightarrow{PF_2}|-|\\overrightarrow{PF_1}|=2$ 的点 $P$ 的轨迹是曲线 $E$, 直线 $y=k x-1$ 与曲线 $E$ 交于 $A, B$ 两点.如果 $|AB|=6 \\sqrt{3}$, 且曲线 $E$ 上存在点 $C$, 使 $\\overrightarrow{OA}+\\overrightarrow{OB}=m \\overrightarrow{OC}$. 求 $m$ 的值和 $\\triangle ABC$ 的面积 $S$.", + "objs": [], + "tags": [], + "genre": "解答题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240304\t蔡海鸾" + ], + "same": [], + "related": [], + "remark": "", + "space": "4em", + "unrelated": [] } } \ No newline at end of file