21-22高二·湖南·课后作业
解题方法
1 . 如图,在四棱锥
中,
底面ABCD,底面ABCD是矩形,且
,E是SA的中点.分别求平面BED与平面SAB、平面BED与平面SBC所成角的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faeb97acf19bd3b2c6c77c2814df4d2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fb2e071d4e01107dcf7d95cbb86b415.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32e255853b0fe064f04527b9fc89fee4.png)
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21-22高二·全国·课后作业
解题方法
2 . 如果
分别是平面
的一个法向量,设
与
所成角的大小为
,写出
与
之间的关系.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6656874a99a8251ca5ec10fdab3bee24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e1d5e94ab38981bdff33a251d6fd73f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/943b765718479c160ba61ec5c6f8c5f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e29bf5652f0d4f764c3606efcdb445f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aefd06c239145a2b6ae87a955aa51414.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc7ea5eb10eb8731b18ce046fbb8f782.png)
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21-22高二·全国·课后作业
解题方法
3 . 已知
,分别求平面
与三个坐标平面所成角的余弦.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5562d9e85ffedeea5bf47fc05bfe526.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
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21-22高二·全国·课后作业
解题方法
4 . 如图,已知
是正方体,E,F分别是棱
的中点,求直线
与
所成的角.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5307e04a84a0621e4d5bd2aaa1980ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fe734023d4e70010a6b2cc3267cb86e.png)
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21-22高二·全国·课后作业
解题方法
5 . 如图所示,已知正方体
中,
是
的中点,求直线
与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a851907ada2ac2c3c4880a6736d28a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9399c9a2a31b0e3165aea2d6ccc4f7c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46b91c857bbe3c4f0f08dd2a4124a96e.png)
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21-22高二·全国·课后作业
6 . 如果
是直线l的一个方向向量,
是直线l在平面
内的射影的一个方向向量,设直线l与平面
所成角的大小为
,通过作图讨论
与
的关系.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5e4e52e3ca03af2d1d834df3a8070c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffb8e7ccbbeeceb7bb51f5b7a2cdc56d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0e223d08147ad95f99db581ebda8bb5.png)
您最近一年使用:0次
21-22高二·全国·课后作业
解题方法
7 . 已知
是正方体,求直线
与直线
所成角的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10d8eb4a9f462ca0c1d49c3fe91e720d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fe734023d4e70010a6b2cc3267cb86e.png)
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21-22高二·全国·课后作业
解题方法
8 . 如图所示,直三棱柱
中,
,点M在线段
上,
,求直线
与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/615fc8790237a1b09af51d6bcad6b595.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a39769bbb2e539fc42cc25e9e10f34a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24bb49fdc6b6bbb2449fdf8a0de769d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e363082228a653eb5b0dbc3c6161a9c9.png)
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21-22高二·全国·课后作业
解题方法
9 . 已知线段
在平面
内的射影是
,分别根据下列条件求直线
与平面
所成角的大小.
(1)
;
(2)
;
(3)
;
(4)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bb0628cecbfc98d390e5447d52414e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a06fa56a9e79edc4a5639d864c74701.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0695338fb762c0222251d85b3b165ed2.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3547658c08fe0b8f506c459ba0655d06.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04cb2bff40f0816690c59edc9256ec6a.png)
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名校
解题方法
10 . 如图,在长方体
中,点E、F分别在
,
上,且
,
.
平面
;
(2)当
,
,
时,求平面
与平面
的夹角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a851907ada2ac2c3c4880a6736d28a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22adbc0da438220f9cace11b629d799b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4305d8d52fe2cc79c78129652e64bb62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fccb37728702288d4be7148301ab685.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d26d8a9d64ad3c8cba28840b41ed7837.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b03428a8f91a5674cb8f54766c165f7e.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0d5a2cd05e4476fc72271e8fdb59a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f3e58edd1f900ca82bb2a3058293f52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b03428a8f91a5674cb8f54766c165f7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab6bf42c7db96104456424e4d1be6c48.png)
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2022-01-21更新
|
476次组卷
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10卷引用:人教A版(2019) 选择性必修第一册 新高考名师导学 第一章 复习参考题 1