diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json index c14abd01..a87c4519 100644 --- a/题库0.3/Problems.json +++ b/题库0.3/Problems.json @@ -494012,6 +494012,46 @@ "space": "4em", "unrelated": [] }, + "019287": { + "id": "019287", + "content": "(1) 对于任意 $x \\in \\mathbf{R}$, 不等式 $x^2-2 x+3-m \\geq 0$ 恒成立, 求实数 $m$ 的取值范围;\\\\\n (2) 对于任意 $x \\in[0,3]$, 不等式 $x^2-2 x+3-m<0$ 恒成立, 求实数 $m$ 的取值范围.", + "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": [] + }, + "019288": { + "id": "019288", + "content": "若不等式 $2 x-1>m(x^2-1)$ 对满足 $-2 \\leq m \\leq 2$ 的所有 $x$ 都成立, 求 $x$ 的取值范围.", + "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.",