名校
1 . 圆锥曲线的光学性质应用非常广泛,如图所示,从双曲线右焦点
发出的光线通过双曲线镜面反射出发散光线,且反射光线的反向延长线经过左焦点
.已知双曲线的离心率
,则当入射光线
和反射光线
互相垂直时(其中
为入射点)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81036ee201096ae4807267cb941ed5fa.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/750a598ea7e8c58b4af88c5f7b903e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c83e02c09428538ce8ae136cff26d3f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc5adb5eb60ae4435a12d93854066298.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81036ee201096ae4807267cb941ed5fa.png)
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2023-11-13更新
|
357次组卷
|
3卷引用:海南省2021-2022学年高二下学期学业水平期中考试数学试题
解题方法
2 . 某地区为了研究中学生身高,从中随机抽取1000名男生制成频率分布直方图如下:
(1)试估计该地区中学男生身高的中位数
(2)若该地区有15000名中学男生,估计身高在
厘米的多少人?
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/6/fe954858-1076-4119-beda-d40f143932a0.png?resizew=273)
(1)试估计该地区中学男生身高的中位数
(2)若该地区有15000名中学男生,估计身高在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/285e9acffc808501f7ec2b01dc0707e6.png)
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解题方法
3 . 已知四面体的四个面都是三角形,则四个面中最多可以是直角三角形的个数为( )
A.1 | B.2 | C.3 | D.4 |
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4 . 平面
内
是直角三角形且C是直角顶点,若
.
(1)求证:平面
平面PBC
(2)
是等腰直角三角形且斜边
,
,求棱锥
的体积
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29e35f3a470885d88519e1a71db4b323.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/6/d05a1f82-2465-4779-b9c5-7b428ab45bee.png?resizew=174)
(1)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d077f6da8b2c00b152d4679aa2ed7f7.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/080ca48cd27d4bf9d9ef084b558fc17a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/491c3a4f72b84ebadd28b90711435adc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd689863203d6891a6a8ce8b40dd5a90.png)
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5 . 圆锥的底边半径为3,母线长为5
(1)求它的表面积
(2)求它的体积
(1)求它的表面积
(2)求它的体积
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解题方法
6 . 若
,则
的值可以取( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2562872bbd15a3ebc60dbfc4c995db1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52c6c1f6d821af7e3c8058993218a861.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
7 . 若直线l与平面
垂直,且直线a在平面
上,则直线a与l的关系可能是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
A.平行 | B.垂直 | C.相交 | D.异面 |
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8 . 不重合直线a,b,c和不重合平面
,下列说法:①若
,则
;②若
,则
;③若
,则
;④若
,则
;⑤若
,则
;⑥若
,则
,其中正确的个数是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e7cf3147265d4264b90bd19812d37be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fa93810472e3f712a41b0256d0679b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/347347d0147894ec926890e1eef45de0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2d8bf87219733e47b7165702aa098c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2293799d379200cf746e8450ebd5744f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4b8a3b7eb1e1fd3eadfacd8093c93a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72fbc714c63815dad9a27418f6492f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5a710380505e1a45da7f9c485a7c635.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72fbc714c63815dad9a27418f6492f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ccdd91519930803983ce6f02d6f5e1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39e81e2fae4bf226cb0311850199f50d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/750323bb31800fd98396e7d4027ef1f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d35a45cfcdfbda18b089ce6698ccdbcd.png)
A.1 | B.2 | C.3 | D.4 |
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9 . 若复数z满足
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a9d4d0e01eb6e59afb878ed9e3ce8a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/882bff376e1d71865bd23b747ef78a66.png)
A.![]() | B.![]() | C.![]() | D.10 |
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解题方法
10 . 若a,b是两条不重合的直线,
是两个不重合的平面,且
,则a与b的关系不可能是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc14778010a33f90902ff17b1ec0ac73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c1d9eaea65f5ffc4c6d4bb892ccd614.png)
A.相交 | B.平行 | C.异面 | D.垂直 |
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