From 710577bd70060bfcebee3ae81f0d804b4c57bb19 Mon Sep 17 00:00:00 2001 From: wangweiye7840 Date: Wed, 26 Jul 2023 14:48:41 +0800 Subject: [PATCH] =?UTF-8?q?=E6=B7=BB=E5=8A=A0=E8=87=AA=E6=8B=9F=E9=A2=98?= =?UTF-8?q?=E7=9B=AE6=E9=A2=98?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- 题库0.3/Problems.json | 120 ++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 120 insertions(+) diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json index a87c4519..582b9d19 100644 --- a/题库0.3/Problems.json +++ b/题库0.3/Problems.json @@ -494052,6 +494052,126 @@ "space": "4em", "unrelated": [] }, + "019289": { + "id": "019289", + "content": "解关于 $x$ 的不等式: $\\dfrac{2 x^2+(a-1) x+3}{x^2+a x}>1$.", + "objs": [], + "tags": [], + "genre": "解答题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20230726\t赵琍琍" + ], + "same": [], + "related": [], + "remark": "", + "space": "4em", + "unrelated": [] + }, + "019290": { + "id": "019290", + "content": "求 $k$ 的值的集合, 使得不等式$\\dfrac{2 x^2+2 k x+k}{4 x^2+6 x+3}<1$恒成立.", + "objs": [], + "tags": [], + "genre": "解答题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20230726\t赵琍琍" + ], + "same": [], + "related": [], + "remark": "", + "space": "4em", + "unrelated": [] + }, + "019291": { + "id": "019291", + "content": "解不等式 $\\dfrac{x^2-9 x+11}{x^2-2 x+1}\\geq 7$.", + "objs": [], + "tags": [], + "genre": "解答题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20230726\t赵琍琍" + ], + "same": [], + "related": [], + "remark": "", + "space": "4em", + "unrelated": [] + }, + "019292": { + "id": "019292", + "content": "解关于 $x$ 的不等式: $\\dfrac{a(x-1)}{x-2}>1 $($a \\in \\mathbf{R}$).", + "objs": [], + "tags": [], + "genre": "解答题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20230726\t赵琍琍" + ], + "same": [], + "related": [], + "remark": "", + "space": "4em", + "unrelated": [] + }, + "019293": { + "id": "019293", + "content": "已知不等式 $\\dfrac{x-a}{x^2+x+1}>\\dfrac{x+b}{x^2-x+1}$ 的解集是 $(\\dfrac{1}{2}, 1)$, 求实数 $a, b$ 的值.", + "objs": [], + "tags": [], + "genre": "解答题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20230726\t赵琍琍" + ], + "same": [], + "related": [], + "remark": "", + "space": "4em", + "unrelated": [] + }, + "019294": { + "id": "019294", + "content": "当 $a$ 为何实数值时, 关于 $x$ 的方程 $a(3 x-1)=4 x+7$ 的解是正数? 又 $a$ 为何值时, 方程的解在区间 $[-3,2)$ 中?", + "objs": [], + "tags": [], + "genre": "解答题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20230726\t赵琍琍" + ], + "same": [], + "related": [], + "remark": "", + "space": "4em", + "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.",