diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json index f952cce2..a0cb95bc 100644 --- a/题库0.3/Problems.json +++ b/题库0.3/Problems.json @@ -3272,7 +3272,9 @@ "20220624\t王伟叶, 余利成" ], "same": [], - "related": [], + "related": [ + "022905" + ], "remark": "", "space": "4em", "unrelated": [] @@ -608011,6 +608013,33 @@ "space": "4em", "unrelated": [] }, + "022905": { + "id": "022905", + "content": "设$f(x)=x^2+ax+1$. 若对任意给定的实数$x$, $f(2+x)=f(2-x)$恒成立, 则实数$a$的值为\\blank{50}.", + "objs": [ + "K0223004B" + ], + "tags": [ + "第二单元" + ], + "genre": "", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "教材复习题-20231201修改", + "edit": [ + "20220624\t王伟叶, 余利成", + "20231201\t王伟叶" + ], + "same": [], + "related": [ + "000088" + ], + "remark": "", + "space": "", + "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