名校
解题方法
1 . 已知直三棱柱
的各顶点都在球O的球面上,且
,
,若球O的体积为
,则这个直三棱柱的体积等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c3e9ef3e849788645552cfb0735d987.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f86c589939053ce21ce0a67cf40054a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ab695ec819d66b118788f16f172e3be.png)
A.![]() | B.![]() | C.8 | D.![]() |
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2022-01-15更新
|
2211次组卷
|
4卷引用:贵州省贵阳市五校2022届高三11月联合考试数学(理)试题(三)
贵州省贵阳市五校2022届高三11月联合考试数学(理)试题(三)(已下线)专题15 空间几何体的外接球天津市第一中学2022-2023学年高一下学期期末数学试题(已下线)专题03 空间几何体的体积、表面积及空间角-《期末真题分类汇编》(天津专用)
解题方法
2 . 已知函数
若
,且
,则
的最小值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57b607f327244b0115e3804a3179657d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1dc691018f939156edb2ec1a91fca8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/413d214d5866af93b7d851fd0c07caa6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c491cd7b2eaa925b3126a87e1ce13a11.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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3 . 在复平面内,复数2
,4对应的点分别为A,B.若C为线段AB上的点,且
,则点C对应的共轭复数是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d26814833891fa358a17a1833594e043.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2022-01-15更新
|
339次组卷
|
5卷引用:贵州省贵阳市五校2022届高三11月联合考试数学(理)试题(三)
贵州省贵阳市五校2022届高三11月联合考试数学(理)试题(三)(已下线)三轮冲刺卷03-【赢在高考·黄金20卷】备战2022年高考数学(理)模拟卷(全国卷专用)河南省豫北名校2021-2022学年高二下学期5月调研考试文科数学试题(已下线)1.3 复数(精讲)-【一隅三反】2023年高考数学一轮复习(提升版)(新高考地区专用)(已下线)第七章 本章综合--考点强化训练【第一练】“上好三节课,做好三套题“高中数学素养晋级之路
解题方法
4 . 如图,在圆内接
中,角A,B,C所对的边分别为a,b,c,满足
.
![](https://img.xkw.com/dksih/QBM/2021/11/17/2853474301329408/2895082294108160/STEM/eae41d6b-2d9f-4ed0-8748-fdda0b0701be.png?resizew=166)
(1)求B的大小;
(2)若点D是劣弧
上一点,
,
,
,求线段AD的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef5bbec22aa4a92538aa16584fee7714.png)
![](https://img.xkw.com/dksih/QBM/2021/11/17/2853474301329408/2895082294108160/STEM/eae41d6b-2d9f-4ed0-8748-fdda0b0701be.png?resizew=166)
(1)求B的大小;
(2)若点D是劣弧
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/667349d99185bb045030b733352ff7fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcb5bac75f36bb1dc5c8190d4dbe681d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6bc78a7cf048b4a4c2a34cfb2cbe08d.png)
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名校
解题方法
5 . 设函数
,M为不等式
的解集.
(1)求M;
(2)证明:当a,
时,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a01a75e8ed820dfcf6a3c3bb59013ee4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/988bd2d83621a521e809451ebc325a64.png)
(1)求M;
(2)证明:当a,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e95d24952c1772d8db28522e5daff31e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c316feb5e8371df46283954947db7cb.png)
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2022-01-15更新
|
253次组卷
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4卷引用:贵州省贵阳市五校2022届高三11月联合考试数学(理)试题(三)
6 . 如图,四边形
是矩形,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895d6f710d5f67e1d4c7408d50d77281.png)
.
![](https://img.xkw.com/dksih/QBM/2022/1/6/2854801019756544/2889936155975680/STEM/f8846769-3e24-4a24-a45a-3712cdfbbd6d.png?resizew=142)
(1)证明:
平面
.
(2)求直线
与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895d6f710d5f67e1d4c7408d50d77281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/813f2f1611bde7afc9b8280b35dd84a8.png)
![](https://img.xkw.com/dksih/QBM/2022/1/6/2854801019756544/2889936155975680/STEM/f8846769-3e24-4a24-a45a-3712cdfbbd6d.png?resizew=142)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1e0bd4b30dc777ac9da80f6baa3eb31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87c0bfeadcf17b2a45896071f07a4a5a.png)
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2022-01-08更新
|
364次组卷
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2卷引用:贵州省毕节市金沙县2022届高三11月月考数学(理)试题
名校
解题方法
7 . 已知某几何体的三视图如图所示,则该几何体的体积为___________ .
![](https://img.xkw.com/dksih/QBM/2022/1/5/2887789465378816/2888721245642752/STEM/f146df751afb4152a989eda62cf9a0ae.png?resizew=216)
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2022-01-06更新
|
411次组卷
|
5卷引用:贵州省贵阳市第一中学2021届高三下学期高考适应性月考卷(六)数学(理)试题
贵州省贵阳市第一中学2021届高三下学期高考适应性月考卷(六)数学(理)试题贵州省贵阳市第一中学2021届高三下学期高考适应性月考卷(六)数学(文)试题甘肃省武威第一中学2021-2022学年高三上学期开学考试文科数学试题(已下线)专题06 三视图-备战2022年高考数学(理)母题题源解密(全国甲卷)(已下线)专题07 三视图-备战2022年高考数学(文)母题题源解密(全国甲卷)
解题方法
8 . 若对任意
,不等式
恒成立,则a的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bce2594833690eedb3328fe747feb3a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53ad99dde3c16528264c769bd47422ff.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2022-01-03更新
|
484次组卷
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3卷引用:贵州省名校联盟2022届高三12月联考数学(理)试题
9 . 已知
,
,
,则下列不等式错误的是( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/061813f1ec633c5c4c393c4de7938322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5558c083d34cbb0a58d3ce1dc6f5778e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2022-01-02更新
|
533次组卷
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3卷引用:贵州省六盘水市外国语学校2021-2022学年高二上学期期中考试数学试题
10 . 数列
满足
,
,(p,q为常数).
(1)当
,
,数列
,求数列
前n项和.
(2)当
,
时,
,证明
为等比数列,并求
的前n项和.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f078744c54ed52bfd04939b66861f15.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/194b8ab194c7d299d5c3e0f09ec18384.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d9b6c86435e0ceff94d8ad1cd03737.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d005409790b3192705a181b2c8e7dfed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7acff98078cdd32804d8f1c4efbe2ddd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfa9bf65189dfb57a61644a1cb27f361.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad84406d1a0521d8b3e3c967b251396d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
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