名校
1 . 已知椭圆
的一个焦点坐标
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/223ed6c8eda383bca1463018c662e160.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/092fd1b1d33979818300cd2e3699bff7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
A.![]() | B.5 | C.5或3 | D.3 |
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名校
2 . 某学习小组研究一种卫星接收天线(如图①所示),发现其曲面与轴截面的交线为抛物线,在轴截面内的卫星波束呈近似平行状态射入形为抛物线的接收天线,经反射聚焦到焦点处(如图②所示). 已知接收天线的口径(直径)为
,深度为
,则该抛物线的焦点到顶点的距离为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/31/ae6ae47b-0a24-4fff-b5db-5cc41f4d6986.png?resizew=208)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a637e8f4e368c079616955509b1717e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29be23f689eb01e57963495377501257.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/31/ae6ae47b-0a24-4fff-b5db-5cc41f4d6986.png?resizew=208)
A.0.9 | B.![]() | C.1.2 | D.1.05 |
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3 . 正方体
中的有向线段,不能作为空间中的基底的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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4 . 设集合
,
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a22f8d9188279429b395c30b2898ac1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0945b9f47f37e913573a970c9c0f66e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c60c40ccd026471428547bfb9cd5a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd32b47b7c4747749f53894f1b2e6274.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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5 . 已知数列
的首项为
,递推公式为
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c70731639811e586bc96400758130547.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbfc875ca919921e8f63a6fca648561b.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
6 . 已知直线
与
,若
,则实数m的值为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee080177fb5a1d6e4b969ee1c8290c5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e521fe18c9b5ad2d9a1bc2dd012f325.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/476f83488b6d96c98e2d2e1048ce707b.png)
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名校
7 . 若等比数列
各项均为正数,且
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40ed131350af1c6506327df7bd44f007.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbfc875ca919921e8f63a6fca648561b.png)
A.![]() | B.1 | C.![]() | D.2 |
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8 . 直线
的倾斜角为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae039d59878245845a595958f4245ec9.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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9 . 若方程
表示的曲线是双曲线,则实数m的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5057ba7f625f35726e1a7709bb5b89da.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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10 . 在等差数列
中,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0356334a4f35454ef7f5fdfa4b81346f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7999465d0e871febde66296a0cbf058c.png)
A.![]() | B.1 | C.2 | D.4 |
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