解题方法
1 . 已知
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fdbc05aed01cd1e6a2499cad61ff1dc.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e3937bc6ab4ad632bd834ed5fdc4b81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fdbc05aed01cd1e6a2499cad61ff1dc.png)
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解题方法
2 . 在
中,已知
,若
最长的边长为
,则最短的边长为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c44ca2c5d2835f2555d31a77a8146fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4056761b8f826eeb6ad8c9a151d3c9c.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
解题方法
3 . 已知
,且满足
.
(1)求
的值;
(2)若角
的终边与角
的终边关于y轴对称,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63fcc0606aa9ce75269c63af6be62f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2c0853d16a34fc8b9776ff1a1f29dea.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7aee715ac87a76f7a00996af77481ed.png)
(2)若角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be4e1a0e7c86ad340d097044203cc8df.png)
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4 . 已知
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00f91e7fd3d358600eca9137fae54149.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/569087ece1739f75121b549c7de10058.png)
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5 .
中,若
,则
一定是___________ 三角形.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ebc08da43ed2c07e29fa7f1a4da9320.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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6 . 若
中,
,
,那么
的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15ee608882881caff2f1e223177424ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9498c3fe203b8c0bb7dc4453ccfac2de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1311f32edf13f8caee5edb03f24a7ba.png)
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解题方法
7 . 空间四面体ABCD中,已知
,
,
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/20/665746bf-ebef-4fac-b425-6dbef3721475.png?resizew=161)
(1)求CD的长;
(2)已知点E在线段AC上运动,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b134e7a79f6b0ccd857d2ed852098e1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa6874ed1ac4e8ebf7f341e3e3056cfe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b36f544cf07db2aeecbe76e87a8c555.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/addb8e20db1fbb40f17dea52f951b907.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07160f14b3b453bebb64cb2bf96dc85a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/20/665746bf-ebef-4fac-b425-6dbef3721475.png?resizew=161)
(1)求CD的长;
(2)已知点E在线段AC上运动,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ae7c0b22a09146fe87955159f70454b.png)
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解题方法
8 .
中,边
为最大边,且
,则
的最大值是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/229f03480ce6339b77cc71f830e81a10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fa2712ff18c8752ac34e0e583c92620.png)
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9 . 正方形
的边长为
,
分别为边
的中点,
是线段
的中点,如图,把正方形沿
折起,设
.
取何值,
与
不可能垂直;
(2)设二面角
的大小为
,当
时,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d93949d8a15aca4e79cedb978590571.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0039dfdd6847b00a7938035b8d997242.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db54223bb3fc2fe2497213a4d1f94827.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
(2)设二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cc6254fdf3ab25161b65f5c86c6c42d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9656730697a15b9c7d9ed8303840c0bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de7d5ef3a3d9a03be91135fc426d57cc.png)
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解题方法
10 . 已知
,
,且
,
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e8bcfdd6f40a70e1fc54716f53e6b2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8e9a16c5a6fb56d6a65b68e0e357c7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d8ed1627cef9d38bcf5eeb42da84251.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a3ac83c571110d41a396d12d8eea1c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1db9bff61ea982def4f236f992f34b38.png)
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