1 . 如图,为了测量花溪河对岸一座塔楼
的高度,测量者小王在岸边点A处测得塔顶D的仰角为
,塔底C与A的连线与河岸成
角,小王沿河岸向西走了40米到达M处,测得塔底C与M的连线与河岸成
角,则塔楼
的高度为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6b86c22b670a8e9f3896f9e8883fbbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76c12e76fbd84eeec721386bd3b04cc4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
A.20米 | B.25米 | C.![]() | D.![]() |
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2 . 已知
,
,
,则有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4d5902da551de7e4fcc244d0125835b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/728385ddc087f5772ce539efb9ffa1c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da4107a413ef080e2ee117158e144f17.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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3 . 在
中,D为边
的中点,E,F分别为边
,
上的点,且
,
,若
,
,则
值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/714fe049aea26e4275f2389206b630fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c76138fb4d11c0bf21497926ecbcd804.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5f276b16387045991ee911744610ed2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffeab6a26fe66bbbef44ed750a4c6d6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b41a384997b1c3a570b2eeb61aea30a.png)
A.1 | B.![]() | C.3 | D.5 |
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4 . 已知
,
是两个不同的平面,直线
,则“
”是“
”成立的( )
![](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/1b28ca8d8046c5ad2ed6260adc5483f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b303b1f07604f5303aea94df7f0518e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ad25ad7785af488a004cae4436019ff.png)
A.充分不必要条件 | B.必要不充分条件 |
C.充要条件 | D.既不充分也不必要条件 |
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5 . 设复数
所对应的点是
,
对应的点是
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af68f652b4c13657ffddf3c9e7eb262b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2157b41548f02a86a438e63238719841.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa224ed9be8766a4d0b5138bd57de0f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/455ba3d3e46977fcbe5b71f8bb9df4be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0e13b9c2f224325b25b10a9235bc8d2.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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6 . 设集合
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf792194705adab1f4ef35ed5943ba4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caa106b4f30908ba76e2779032960b65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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7 . 已知集合
,
,且
都是全集
的子集,则下图所示的韦恩图中阴影部分表示的集合为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/117fa590601cee4fa5a410187f56bffd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc3e1ffc516559a1f7c18d62e0bc34f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b52b4f24969673c863b5aff4fb6751ce.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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8 . 下列关系式正确的为( )
A.![]() | B.![]() | C.![]() | D.![]() |
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9 . 当x是什么实数时,下列各式有意义?
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3ec8454402ff44a030658b4a46f786c.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac3c9f8dc597df12c501c8d6a8a81118.png)
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10 . 如图,正方体
的棱长为1,
,
分别为
,
的中点.
平面
.
(2)求异面直线
与
所成角的大小.
(3)求直线
与平面
所成角的正切值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83c09eec4e14a861af83d7828797d176.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e539f26ed5e0b20ff7220559324869a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06222ee533c2484ab25321a6abbf98cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
(2)求异面直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8772aa893a9c1d40f714cb25701701.png)
(3)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48d47e5be88e89d0d042c56d2d6942b0.png)
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