名校
解题方法
1 . 如图,在长方体
中,
,E,F分别为BC,
的中点,点P在矩形
内运动(包括边界),若
平面AEF,则动点P的轨迹长度为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a44bc2abe776581718582b7eaa189c3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e168672b47d7e64dc1b404f8882c7dcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24579dca7ff1542ae019fc36110dddbe.png)
A.2 | B.![]() | C.![]() | D.![]() |
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2 . 已知三棱锥
中,
,
,
,E,F分别是PA,BC的中点,则EF与AB所成的角大小为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1e4b16c2c6c9bd089da78122e9d2511.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6eea78bf026d76f1cb9cc3dc9349a193.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7bae5203f4b4acf23779114b3466e17.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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3 . 已知复数
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afc933d8e17ad3edfe04a3d4a2d0716d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/520f6329d8c9b339a1a6d3b69f2fa68b.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
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4 . 已知抛物线
的焦点为
,动点
在
上,点
与点
关于直线
对称,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bb4dd4670828f75bc573b52cdd02e1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c6ce39c72b38fa1a2b3275188b27689.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6db0a1cbf7b0ed76c443b953af8734d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c19ec66bbb4cefd58395ed4f3e54979.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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5 . 已知数列
是等差数列,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/805512aa00961ecbfd2b8274df960c1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a1c599754f0d16a2dcde280b037511.png)
A.4 | B.![]() | C.![]() | D.![]() |
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6 . 设
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adbdf77b8545d26f9a5978493f53b2b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e9c3d509e77d6a7e4874302308c2aba.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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7 . 已知三棱锥
的底面ABC是边长为1的等边三角形,
平面ABC且
,一只蚂蚁从
的中心沿表面爬至点P,则其爬过的路程最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fd3eb538f36e6e722e4ce125266b99b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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8 . 如图是一个正方体的展开图,如果将它还原为正方体,下列命题正确的是( )
A.AB与HG相交 | B.AB与EF平行 |
C.AB与CD相交 | D.EF与CD异面 |
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9 . 已知某正四棱锥的高为3,体积为64,则该正四棱锥的侧面积为( )
A.48 | B.64 | C.80 | D.144 |
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解题方法
10 . 已知
,
,若
,则实数
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c7155cb338decc45636b14be741e1a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a9e9fa37638ba13e61052c80e2ebac5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1afa49dbaa99a0d7a7a6d18b3fe42091.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
A.![]() | B.1 | C.3或![]() | D.1或![]() |
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