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1 . 椭球面镜具有改变光路的方向、使光束会聚的作用,它经常被用来制作精密的光学仪器的部件.椭球面镜是以椭圆的长轴为旋转轴,把椭圆转动
形成的立体图形,其内表面全部做成反射面,中空,椭球面镜可以将从某个焦点发出的光线全部反射到另一个焦点处.从椭球面镜的焦点
射出的两条光线,经椭球面镜上的
两点反射后汇聚于焦点
,若
,且
,则椭球面镜的轴截面椭圆的离心率为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54e7a123c9cc0e058db28841fb0edcf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bea693124f0e69270669bf34a2c4ad9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9766e5e316ac8e8ecae1779070799a4.png)
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2 . 函数
的部分图像大致为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f8a0ac91ca429f7cf530a2b5b4e9865.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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3 . 已知全集
,集合
,若
,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc0dc8098ad6f31bdd87771ca9cfa33a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfbcd76bbe27ad10e407496993f4a725.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b1cdbf475399382934603da3e999f50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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4 . 在
的展开式中,
的系数为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3956332af69c636ea89c1cbdcf0af7f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d800f03de80068a1172beac3a2c75587.png)
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5 . 已知圆台
的母线长为4,下底面圆的半径是上底面圆的半径的3倍,轴截面周长为16,则该圆台的表面积为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e65ac334119ccd6204402a7aba29a55.png)
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6 . 六位评委给某选手的评分分别为:16,18,20,20,22,24.去掉最高分和最低分,所得新数据与原数据相比不变的是( )
A.极差 | B.众数 | C.平均数 | D.第25百分位数 |
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7 . 已知集合
,
,则
的子集个数为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8525f3c54cf11fbdd8b3208a3b9c37b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8817b9550ea4ceeb77f2fa1a29b40346.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
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8 . 关于
的实系数二次不等式
的解集为
,若
,
,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cb7f3092e5c6a55f7fd6a11017377f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0f9f734c03d04c21edefa08e0acc1fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/894a81c430bc40ce45acb93cfecff641.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b6d10e9d703c6fada6e0af7985bb3ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e7bb6249c18f074f6f8fa2789c16995.png)
A.![]() | B.![]() | C.2 | D.![]() |
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9 . 已知
为等差数列
的前
项和,
,
,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/062e951c4c1f95dd60f02b824edb3850.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fcadb164c09c38d877a500d0629b760.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-05-14更新
|
1318次组卷
|
4卷引用:福建省南平市建阳区2023-2024学年高三预测绝密卷模拟预测数学试题
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解题方法
10 . 已知
为双曲线
(
,
)的右焦点,直线
与
的两条渐近线分别交于
,
两点,
为坐标原点,
是面积为4的直角三角形,则
的方程为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24550b13dbecf7d86c7054250e987274.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c5c2e64358e0ec7aa142c336d970306.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8a454588e9beb97c69a0332a7c5c796.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-05-14更新
|
697次组卷
|
3卷引用:福建省南平市建阳区2023-2024学年高三预测绝密卷模拟预测数学试题