diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json index 074af10e..cd370159 100644 --- a/题库0.3/Problems.json +++ b/题库0.3/Problems.json @@ -544816,7 +544816,9 @@ "20221231\t王伟叶" ], "same": [], - "related": [], + "related": [ + "022798" + ], "remark": "", "space": "4em", "unrelated": [] @@ -544860,7 +544862,9 @@ "20221231\t王伟叶" ], "same": [], - "related": [], + "related": [ + "022799" + ], "remark": "", "space": "4em", "unrelated": [] @@ -603683,6 +603687,56 @@ "space": "", "unrelated": [] }, + "022798": { + "id": "022798", + "content": "用二分法求出函数$y=x^3-2 x^2-x+1$在区间$(2,3)$内的一个零点为\\blank{50}.(精确到$0.1$)", + "objs": [], + "tags": [ + "第二单元" + ], + "genre": "", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2025届高一校本作业必修第五章-20231120修改", + "edit": [ + "20221231\t王伟叶", + "20231120\t王伟叶" + ], + "same": [], + "related": [ + "020675" + ], + "remark": "", + "space": "", + "unrelated": [] + }, + "022799": { + "id": "022799", + "content": "已知函数$y=2 x^3-3 x^2-18 x+28$在区间$(1,2)$上有且仅有一个零点. 用二分法求出该零点的近似值为\\blank{50}.(结果精确到$0.1$)", + "objs": [], + "tags": [ + "第二单元" + ], + "genre": "", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2025届高一校本作业必修第五章-20231120修改", + "edit": [ + "20221231\t王伟叶", + "20231120\t王伟叶" + ], + "same": [], + "related": [ + "020677" + ], + "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