名校
解题方法
1 . 已知
是球
表面上的点,
平面
若球
的体积为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c3e0e93b586844f67ca7a3b157dd310.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/523bdb05d8e5de2a84ccedb6db738037.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10c83f8945042b9c8fb2fbdac9308d62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c880085b1eb986f6ce3653337433789.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67fb457e8ac0d3ac35e1c668ea138f91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c3e0e93b586844f67ca7a3b157dd310.png)
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3卷引用:海南省儋州市2022-2023学年高二上学期期末考试数学试题
海南省儋州市2022-2023学年高二上学期期末考试数学试题河南省信阳高级中学2023-2024学年高一下学期5月期中测试数学试题(二)(已下线)专题6 组合体中的外接与内切问题【练】(高一期末压轴专项)
名校
解题方法
2 . 已知等比数列
满足
,
,则其前
项和![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04c2864e2ec3416cc4c081ac1f71a0af.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92e9d3644920a6654c41de61b7f3636d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51edb7027369b194443909607470afec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04c2864e2ec3416cc4c081ac1f71a0af.png)
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2卷引用:海南省儋州市2022-2023学年高二上学期期末考试数学试题
3 . 若
的展开式中
的系数为
,则展开式中所有项的二项式系数之和为 __ .(以数字作答)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8283a90d2433c9cdf1206d968f367ef5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d800f03de80068a1172beac3a2c75587.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6be6e514c2de895c26e09c6de76ad4d0.png)
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2卷引用:海南省儋州市2023-2024学年高二下学期期末考试数学试题
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4 . 已知
中,
,
,且
的面积为
,若直线AB上存在点D,使
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1ec5d678ec42846e1d28301e3bfd4be.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bb5b12692517a39c320f99a479eb055.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ffc2817fa590affb5a760a25dc65308.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/372f9ea8883183714011705674b7cdad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1ec5d678ec42846e1d28301e3bfd4be.png)
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解题方法
5 . 已知向量
、
的夹角为
,
,
,则向量
在向量
上的投影向量为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3b199d124fb9a5bc8438c9884f04534.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c9b39c232d3927cadecd6ca38403838.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39a593f5a5b0b6d5a3e4bb0481875af6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
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解题方法
6 . 在
中,若
,则
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d5c4b5ca5750fc5907e076ea2bfb896.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3aba25ada13bebbab5a0ea5b867a7e9d.png)
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7 . 已知
的内角A,B,C所对的边分别为a,b,c,且
,则
的面积为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e763348ce457e931648f62ee070405a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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3卷引用:海南省2022-2023学年高二下学期学业水平期中考试数学试题
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8 . 在
中(a,b,c分别为角
的对边),若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5f1e5d29de6e4d72bfed62d9c14dde5.png)
________ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4756dc11da0910b70e3ca3e4cb11aab.png)
_________________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6402fcab7456832ab9ac4109aab99ea9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5f1e5d29de6e4d72bfed62d9c14dde5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4756dc11da0910b70e3ca3e4cb11aab.png)
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解题方法
9 . 已知f(x)是定义在R上的奇函数,
且对任意
均有
则 ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9eacff7f456194640de6801dc94799a.png)
_____
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3a2ffb7236b18cec72e965944a2ed75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e6f37ea158078072f8bd7771119d077.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa07570d61c2b610b8e5bbf93d944047.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9eacff7f456194640de6801dc94799a.png)
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解题方法
10 . 若函数
在区间
上单调递减,则
的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21f2007c6d0e329a8c91905b00b667ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/870ebc2f7aabb028024894568d749934.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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3卷引用:海南省部分学校2024届高三考前押题考试(三模)数学试题