1 . 已知
,则该圆的圆心坐标和半径分别为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d81c22b4aa1f8697a8d480091c073f8.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2 . 若直线
,则直线
的倾斜角为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6db0a1cbf7b0ed76c443b953af8734d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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3 . 如图,一个三棱柱形容器中盛有水,侧棱
.若侧面
水平放置时,水面恰好过
,
,
,
的中点.那么当底面
水平放置时,水面高为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac5e1093a147c521c5e8d0d5e266db54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9edc50f7febbc2d5d8dcdc23a3630a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f1f229274a6e17977cc047814212589.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56f7ba05c54b3de1f4378f7c8eb58328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
A.7 | B.6 | C.4 | D.3 |
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解题方法
4 . 已知一圆柱的底面直径与母线长相等,高为3,在该圆柱内放置一个棱长为
的正四面体,并且正四面体在该圆柱内可以任意转动,则当
取得最大值时正四面体的高( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.2 |
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解题方法
5 . 如图,在四边形
中,
,
,
为线段
上一个动点(含端点),
,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0fff774b4b0087a6f304ce930d359be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12143a06ed24558d8cc7ad39961d3e1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c836e62213c678e19381a093f533b0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fd1f0ace9ca0b79929e73af6c201c2e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
6 . 已知
,
,
,则
,
,
的大小关系( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/726a118721407cd3567c37211f7d4642.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c525c03ab7683a72b2f067cfc288368.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1c1301251f5125d62021ab259f54700.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
7 . 某科研院校培育大枣新品种,新培育的大枣单果质量近似服从正态分布
(单位:
),现有该新品种大枣
个,估计单果质量在
范围内的大枣个数约为( )
附:若
,则
,
,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc1eca4bdf2948c3a38d74e30093f426.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3960d67499df76159982657fe3a1cbca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1926eb08a21a8b6558fcfd4c52a4a23b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3ed24750a87ae179c71c76c4a3f88ec.png)
附:若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53c1ed67167078ea4f5f1ee53ee14164.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a73c92c442a142d4e5fc618dc00bcf30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b65e903fb7fe549c73f55779df19729f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/112b77b25edccc41e2253c5b779d107e.png)
A.8186 | B.8400 | C.9545 | D.9759 |
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8 .
,则
的值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbb4d6629f423a6f679d7ad939c300b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
A.6 | B.4 | C.3 | D.2 |
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解题方法
9 . 已知函数
在区间
上单调递增,则
的最小值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0c2e384d26a5ff148fa5119b5fe071a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5265d99095b635f62c7915298ec0e963.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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10 . 甲盒中装有2个红球,2个白球,乙盒中装有2个红球,3个白球,现从甲盒中随机取出一个球放入乙盒中,再从乙盒中随机取出一个球是红球的概率为( )
A.![]() | B.![]() | C.![]() | D.![]() |
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