解题方法
1 . 如图,正方体
的棱长为
为
的中点,
为线段
上的动点,过点
的平面截该正方体所得截面记为
,则下列命题正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/418f37840c0422e960ed0fd7e61477e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad74f90f6e6893d41d31b52407869da9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
A.直线![]() ![]() ![]() |
B.当![]() ![]() |
C.当![]() ![]() ![]() ![]() ![]() |
D.当![]() ![]() |
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解题方法
2 . 若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c82a355281002ce7d471d83e59da0454.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d176af0a00680162d71e477f0a18d694.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c82a355281002ce7d471d83e59da0454.png)
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3 . 已知
,且
,则
=( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d33658e09092e727b0035825036fc8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5bec99b0f7da69dd2f6ef8e88c35b81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cc9750c313ee972124cb62c4a6fb7ea.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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4 .
的内角
的对边分别为
.分别以
为边长的正三角形的面积依次为
,且
.
(1)求角
;
(2)若
,
,求
.
![](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/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcf4e20ea341827ce5f9552daee39462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/126e6d6c2643cee094d0182179f24c5a.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cac9abff953a60dd62cd402c5604eb97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/731ac94d7d7af196a74d9aa5021cbb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3edae2fbf118961efad281815201844d.png)
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2024-06-11更新
|
947次组卷
|
3卷引用:广东省韶关市乐昌市第二中学2024届高三下学期保温测试(5月模拟)数学试题
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5 . 已知
角的始边与
轴非负半轴重合,
是
角终边上一点.
(1)求
的值;
(2)若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bcc512ec11bf8f6e0f42977dec712c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a52afa299e18e034bf294e98d267dee6.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39f51aa288f17ecdcacff19757c75ad2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c1ba6b6ee00c4b2763cb3fa59caa69f.png)
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6 . 已知
,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e19eeebf9f6d50356a71b171981d3f3.png)
(1)求
的值;
(2)求
的值
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f201f6e84279e80b85f394f4d930ed41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e19eeebf9f6d50356a71b171981d3f3.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cc9750c313ee972124cb62c4a6fb7ea.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60c0aa645bd286812cacd3797dd4b4cd.png)
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解题方法
7 . 如图,在矩形
中,
与
的交点为
为边
上任意一点(包含端点),则
的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c7e71123e4b7ec563f7c8367384d9cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95229f26c09fe84f1f7928c85b37b286.png)
A.2 | B.4 | C.10 | D.12 |
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8 . 如图所示,正四棱台
两底面的边长分别为4和8.
,求该四棱台的表面积;
(2)若其侧面积等于两底面面积之和,求该四棱台的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ac09dc1ca2cdd7aef28c218763d3e4d.png)
(2)若其侧面积等于两底面面积之和,求该四棱台的体积.
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9 . 已知
,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd2a099412bc2993f9a1008ec710c4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b713f9a5cfe34fc11268c56a4d2521f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
A.1 | B.2 | C.3 | D.4 |
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2024-06-08更新
|
705次组卷
|
3卷引用:广东省韶关市乐昌市第二中学2024届高三下学期保温测试(5月模拟)数学试题
解题方法
10 . 下面是关于复数
(
为虚数单位)的命题,其中真命题为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07e2c56730cc80b233be20a1ab17ad38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
A.![]() |
B.若复数![]() ![]() |
C.![]() ![]() |
D.![]() ![]() |
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