From 166fc5053790259ab0e7d5de5d821facd586516b Mon Sep 17 00:00:00 2001 From: "weiye.wang" Date: Fri, 3 Nov 2023 20:06:25 +0800 Subject: [PATCH] =?UTF-8?q?=E5=BD=95=E5=85=A52024=E5=B1=8A=E9=AB=98?= =?UTF-8?q?=E4=B8=89=E5=9F=BA=E7=A1=80=E8=B5=8B=E8=83=BD=E5=8D=B711?= =?UTF-8?q?=E9=83=A8=E5=88=86=E9=A2=98=E7=9B=AE?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- 题库0.3/Problems.json | 192 +++++++++++++++++++++++++++++++++++++++++- 1 file changed, 190 insertions(+), 2 deletions(-) diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json index 5f160460..5faaa8ff 100644 --- a/题库0.3/Problems.json +++ b/题库0.3/Problems.json @@ -402473,7 +402473,9 @@ "20230407\t王伟叶" ], "same": [], - "related": [], + "related": [ + "019981" + ], "remark": "", "space": "", "unrelated": [] @@ -521329,6 +521331,190 @@ "space": "", "unrelated": [] }, + "019979": { + "id": "019979", + "content": "函数 $f(x)=\\sin (-2 x)$ 的最小正周期为\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20231103\t毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "019980": { + "id": "019980", + "content": "集合 $U=\\mathbf{R}$, 集合 $A=\\{x | x-3>0\\}$, $B=\\{x | x+1>0\\}$, 则 $B \\cap(\\complement_UA)=$\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20231103\t毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "019981": { + "id": "019981", + "content": "若复数 $z$ 满足 $(1+\\mathrm{i}) z=2 \\mathrm{i}$ ($\\mathrm{i}$ 是虚数单位), 则 $\\overline{z}=$\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20231103\t毛培菁" + ], + "same": [], + "related": [ + "014806" + ], + "remark": "", + "space": "", + "unrelated": [] + }, + "019982": { + "id": "019982", + "content": "方程 $\\ln (9^x+3^x-1)=0$ 的解为\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20231103\t毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "019983": { + "id": "019983", + "content": "从某校 $4$ 个班级的学生中选出 $7$ 名学生参加进博会志愿者服务, 若每一个班级至少有一名代表, 则各班的代表数有\\blank{50}种不同的选法. (用数字作答)", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20231103\t毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "019984": { + "id": "019984", + "content": "有 $5$ 本不同的书, 其中语文书 $2$ 本, 数学书 $3$ 本. 若将其随机地摆放到书架的同一层上, 则同一科目的书都相邻的概率是\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20231103\t毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "019985": { + "id": "019985", + "content": "如果无穷等比数列 $\\{a_n\\}$ 所有奇数项的和等于所有项和的 $3$ 倍, 则公比 $q=$\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20231103\t毛培菁" + ], + "same": [], + "related": [ + "020768" + ], + "remark": "", + "space": "", + "unrelated": [] + }, + "019986": { + "id": "019986", + "content": "椭圆 $\\dfrac{x^2}{4}+\\dfrac{y^2}{t}=1$ 上任意一点到其中一个焦点的距离恒大于 $1$, 则实数 $t$ 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": [ + "20231103\t毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "019987": { + "id": "019987", + "content": "若等式 $1+x+x^2+x^3=a_0+a_1(1-x)+a_2(1-x)^2+a_3(1-x)^3$ 对一切 $x \\in \\mathbf{R}$ 都成立, 其中 $a_0, a_1, a_2, a_3$ 为实常数, 则 $a_0+a_1+a_2+a_3=$\\bracket{20}.\n\\fourch{$2$}{$-1$}{$4$}{$1$}", + "objs": [], + "tags": [], + "genre": "选择题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20231103\t毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, "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.", @@ -542192,7 +542378,9 @@ "20221231\t王伟叶" ], "same": [], - "related": [], + "related": [ + "019985" + ], "remark": "", "space": "", "unrelated": []