diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json index 0a51c736..a1cad585 100644 --- a/题库0.3/Problems.json +++ b/题库0.3/Problems.json @@ -410618,7 +410618,9 @@ "20230505\t王伟叶" ], "same": [], - "related": [], + "related": [ + "022907" + ], "remark": "", "space": "", "unrelated": [] @@ -608071,6 +608073,33 @@ "space": "", "unrelated": [] }, + "022907": { + "id": "022907", + "content": "已知$f(x)$是定义在$\\mathbf{R}$上的偶函数, 且$f(x)$在$[0,+\\infty)$上是严格增函数, 如果对于任意$x \\in[1,2]$, 不等式$f(a x+1) \\leq f(x-3)$恒成立, 求实数$a$的取值范围.", + "objs": [], + "tags": [ + "第二单元", + "2023届高三-第三轮复习讲义-02-数形结合" + ], + "genre": "4em", + "ans": "$[-1,0]$", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2022届空中课堂学科精要名师点拨-代数几何统一体数形结合莫分离-20231201修改", + "edit": [ + "20230412\t王伟叶", + "20230505\t王伟叶", + "20231201\t王伟叶" + ], + "same": [], + "related": [ + "014970" + ], + "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