名校
解题方法
1 . 在
中,角A,B,C的对边分别为a,b,c.点M是
的内心.若![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75835ac147d3ab1a8a54f06d1271873d.png)
,则
的最小值为______ ,
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75835ac147d3ab1a8a54f06d1271873d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f04baa4bae5d52fe9d106aab4334a026.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5201fc26d013f6fb889933c0e32f5c53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a60237e8d1bca2cbfcabbcef530b7d1.png)
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名校
解题方法
2 . 若
为奇函数,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f35aba67704ba76f371bd1b52f98ae05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
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3 . 若存在两个不相等的正整数
,使得
对任意的
都成立,则常数
的所有可能取值构成的集合为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280860dd039e1305a5ccc455f63e8223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ea36cd9bdb8fbe61d332c6e8c58670.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
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名校
4 . 如果直线
和曲线
恰有一个交点,那么实数
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6b7e9bb0681c6c2cd3c88958991bb55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f20abf5325c31e2c4232b38f79b41b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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名校
解题方法
5 . 已知函数
(其中
)的部分图象如图所示,有以下结论:
①![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0360cdbea0a62afc1441f521cd55be4a.png)
②![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2eabed6be99b47f304f15a73c07a15e.png)
③
在
上单调递增
所有正确结论的序号是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/884a566e78bf6a47d901871960c1d000.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/391c6eae0f77490c5afb7405c9f80820.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0360cdbea0a62afc1441f521cd55be4a.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2eabed6be99b47f304f15a73c07a15e.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e6e99f08f19edb69fbba87107dd5ee9.png)
所有正确结论的序号是
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/12/3273431d-f00f-458f-83b4-4ea01c984937.png?resizew=149)
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解题方法
6 . 已知椭圆
的左焦点为
,若
关于直线
的对称点
恰好在
上,且直线
与
的另一个交点为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c681798734b618e5ca129d2a9837d797.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/851a5d6ec23256f9b4a9e98aa92945fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08b9f0b9e53a83e68f5fec944f343119.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cabea664e61863b3b3279dbce607924e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c681798734b618e5ca129d2a9837d797.png)
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7 . 将函数
的图象向右平移
个单位长度后得到函数
的图象,若
是函数
的一个极值点,则
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c9103252acf9ef6f8226ff9a08fcb38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4862c361cb12b024ca062dd9d8999ff1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5e24f048f9a87274863ba2c037d7a5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
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名校
解题方法
8 . 若一个正三棱台的各顶点之间的距离构成的集合为
,且该三棱台的所有顶点都在球
的表面上,则球
的表面积为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e6408c8e35baa997e856263cbec5dbf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
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名校
解题方法
9 . 某校准备下一周举办运动会,甲、乙、丙、丁4位同学报名参加
这4个项目的比赛,每人只报名1个项目,任意两人不报同一个项目,甲不报名参加
项目,则不同的报名方法种数有______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c82a10b4f0c9323d726804c89dd9548.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
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2024-05-04更新
|
257次组卷
|
2卷引用:湖南省株洲市炎陵县2023-2024学年高二下学期4月素质质量检测数学试卷
10 . 已知角
的终边关于直线
对称,且
,则
的一组取值可以是![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9251dff989f7d60db751b73033dee269.png)
______ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90ca3f0a4b2d06539e74594736881aaa.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4e288596fa3811dd2c17bded60e82e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f5191798242b7b9b88a75e17e4425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acfc047d4b2d89207294410f65cd09b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4e288596fa3811dd2c17bded60e82e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9251dff989f7d60db751b73033dee269.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90ca3f0a4b2d06539e74594736881aaa.png)
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