2024高一下·全国·专题练习
1 . 已知空间两个角
和
,若
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30140bc0246a9d7329f3382bb49962b9.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39b8d91afc34e4a9b0fdbb6bafb9087.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e901d726bbf7efbfd6512a393de8aab5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/587fa49e0d28a87503d1f2fed8ecdbcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e14ebb4bf12e9f7e89d0fc74c0b2586.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30140bc0246a9d7329f3382bb49962b9.png)
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2024高一下·全国·专题练习
2 . 如图,在四棱柱
中,底面是梯形,
,则所有与
相等的角是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f79863ffcfa63117ca6741b20a48e69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/947c03e48c4be7485f1547817f890c53.png)
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3 . 在三棱锥
中,
分别是
的中点,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e88504784a3def38879c4e46458acfee.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82734a4aef44abfa85eaff71b2a23cbc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec6a5d6be2ea214057f07a3c8dad55df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e88504784a3def38879c4e46458acfee.png)
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23-24高一下·全国·课前预习
4 . 空间等角定理
1.定理
1.定理
文字语言 | 如果空间中两个角的两条边分别对应平行,那么这两个角 |
符号语言 |
|
图形语言 | |
作用 | 判断或证明两个角相等或互补 |
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23-24高一下·全国·课前预习
5 . 推论:如果两条相交直线与另两条相交直线分别_______ ,那么这两组直线所成的锐角(或直角)相等.
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2024高一下·全国·专题练习
6 . 已知角
的两边和角
的两边分别平行,且
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2334ac570fefa8bcb3f48ef6da9719e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90ca3f0a4b2d06539e74594736881aaa.png)
A.![]() | B.![]() |
C.![]() ![]() | D.不能确定 |
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7 . 当角
与角
的两边分别平行,当角
时,角![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90ca3f0a4b2d06539e74594736881aaa.png)
__________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a5ae0ca3f5c9945aa044c952d31841e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90ca3f0a4b2d06539e74594736881aaa.png)
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8 . 下列三个说法:
①若直线
相交,
相交,则
相交;
②若
,则
与c所成的角相等;
③若
,
,则
.
其中正确的个数是( )
①若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62ff2912fd8d93b6e692936d95b727c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fc2ac0d7b8a2d9c539588a3a7e3791c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c029d4e6293ef2bb1cbd60a49214af65.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72fbc714c63815dad9a27418f6492f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62ff2912fd8d93b6e692936d95b727c5.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/057cdb4057bca398a838e868efd360f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d4fc47a5814493cc5facdc3ab296dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/347347d0147894ec926890e1eef45de0.png)
其中正确的个数是( )
A.3 | B.2 | C.1 | D.0 |
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名校
9 . 已知空间两个角
和
,若
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30140bc0246a9d7329f3382bb49962b9.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39b8d91afc34e4a9b0fdbb6bafb9087.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e901d726bbf7efbfd6512a393de8aab5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/587fa49e0d28a87503d1f2fed8ecdbcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e0efd58c464aaf4cc42c6dde035a397.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30140bc0246a9d7329f3382bb49962b9.png)
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10 . 已知
,
的两边EF、FM分别平行于
的两边AB与BC.则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0e89a09bfc76796a9192cdbf24a347d.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63f286b7a8d1b81bb0a7441db0233b69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44522c4d17b8a92313252c972f48ef46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39b8d91afc34e4a9b0fdbb6bafb9087.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0e89a09bfc76796a9192cdbf24a347d.png)
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