1 . 已知双曲线焦点在x轴上,且焦距为6,
,则
(1)求双曲线标准方程;
(2)判断点
在不在双曲线上,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03837b3769eda7f0d3804cc5ad4a6d60.png)
(1)求双曲线标准方程;
(2)判断点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a2fca4dd6b0cbf8accd55e3285537aa.png)
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解题方法
2 . 已知焦点在
轴上,且
,
,则:
(1)求椭圆标准方程;
(2)求椭圆离心率.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab839d8569171afab5ed55c22013aa72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcdb7a488910743dc5c63afb394b87e2.png)
(1)求椭圆标准方程;
(2)求椭圆离心率.
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3 . 已知
、
分别为不重合的两直线
、
的方向向量,
、
分别为不重合的两平面
、
的法向量,则下列所有正确结论( )个.
①
;②
;③
;④
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f77dea92dc5b32a89ca4f2cdd6f9d8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/995f121d6107eb3a755aa088a32701fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6279e798012e2a206f7de3dc7f73c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e506b6d8009cfc1e7847168418f1398e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8fe5449cadf824eabbcd6d3fdb0e0c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a49f376680e398c69d9c89ec262ed276.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94db2847e8f5c913d4b4d6904121c824.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99476114f082ef5ff02f4ec1bac182be.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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4 . 已知圆C方程为
,则下列说法中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4b21d5c0d9ef19876a9ef0cfb46ebe1.png)
A.圆C的圆心坐标为![]() | B.圆C的半径为3 |
C.圆C与直线![]() | D.点![]() |
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5 . 集合
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9f7f61005b0c32740301ef1c702e1a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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6 . 已知直线
方程为
,直线
方程为
,则两直线交点坐标为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/172722d11ea7e01411fa06dbb82f46ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b94fcf57347aec685a8fca271aba14eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fbd49bf20f987c05b4d36e31549075c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d4cb0990b93c9900bab2784bef4b10f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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7 . 已知
,
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9332898d60d534ea4c389ecb9c517a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71bb128c43abd60b3336086b45e20e36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e8e05917ce92f10501ee4b80d1edb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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8 . 已知
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcd97c2202bde637052c5f41a9607d0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a150c33b01c0a715be35c4b26fc0c591.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff244f9e9345913bb0217d48ff378134.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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9 . 已知椭圆方程为
,点P为椭圆上一点,且点P到椭圆其中一个焦点
距离为3,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e203545563ef6c33968cd9fab532638e.png)
________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/311d87b23dbe182c2264597b7723c5c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e203545563ef6c33968cd9fab532638e.png)
您最近一年使用:0次
名校
10 . 已知直线m方程为
,则下列说法中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59b2caf6048aa0807d8ba591963ff6e2.png)
A.直线m斜率为![]() | B.直线m横截距为1 |
C.直线m纵截距为![]() | D.点![]() |
您最近一年使用:0次
2023-11-24更新
|
485次组卷
|
3卷引用:新疆和田地区策勒县第一中学2023-2024学年高二上学期期中考试数学试题