解题方法
1 . 已知椭圆
的右焦点为
,
为坐标原点,
上位于第一象限的点
满足
,若直线
的斜率为
,则
的离心率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24550b13dbecf7d86c7054250e987274.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d83eeb3772ef399193d5be5e72f58447.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaf3369e0ea90e8d5cf4b6b3c45c0fd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4b8503f4706b8321e4e79a87eadea84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2 . 已知
为平面
的一个法向量,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638537c0a30676c73fea76c80e0f8bd0.png)
,则下列向量是平面
的一个法向量的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0febcd248a676e71458c5749d2f650f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638537c0a30676c73fea76c80e0f8bd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-02-06更新
|
146次组卷
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2卷引用:新疆兵团地州学校2023-2024学年高二上学期期末联考数学试题
3 . 已知椭圆C:
(
)的长轴长是短轴长的3倍,且椭圆C经过点
.
(1)求椭圆C的方程.
(2)设A是椭圆C的右顶点,P,Q是椭圆C上不同的两点,直线
的斜率分别为
,
,且
.过A作
,垂足为B,试问是否存在定点M,使得线段
的长度为定值?若存在,求出该定点;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7aea48c44781a844b5c19191f70f61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a0c4c098615c6bc7e6dcf72e5b5201a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c08e69243051ead9e21605e11daae67a.png)
(1)求椭圆C的方程.
(2)设A是椭圆C的右顶点,P,Q是椭圆C上不同的两点,直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5671fb25040a712a49e8c8148d67d300.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6defc43285a40f7ccb74c1cc04265eba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423b7ae39db552e60ee8b1d27312306f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03b8bfb1960c394ccfb7bb12de1c1b2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb780dea4bb7d09bf3cb08b7258ebbb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69d2b798744645af88a4fa411344a83.png)
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2024-02-06更新
|
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3卷引用:新疆兵团地州学校2023-2024学年高二上学期期末联考数学试题
4 . “
”是“
”的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/494ff98e615f886135ca5ede0a082891.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d3a5a8a7a5aa1d1bbf65e30741910e4.png)
A.充分不必要条件 | B.必要不充分条件 |
C.充要条件 | D.既不充分也不必要条件 |
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2024-01-30更新
|
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2卷引用:新疆兵团地州学校2023-2024学年高一上学期期末联考数学试卷
解题方法
5 . 下列说法正确的是 ( )
A.不等式![]() ![]() ![]() |
B.一扇形的圆心角![]() ![]() ![]() |
C.命题![]() ![]() ![]() ![]() |
D.已知幂函数![]() ![]() ![]() |
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6 . 若双曲线的对称轴为坐标轴,离心率为
,且过点
,则该双曲线的标准方程为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a74999c9ab1b6f1abf89b19e7ee4cc5.png)
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7 . 已知空间向量
,则向量
与
的夹角的余弦值为
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cfd0dd4da166f260121666e4c73421b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://img.xkw.com/dksih/QBM/2024/1/23/3417478513418240/3418151080796160/STEM/872410becf504403a9eedc4e62c998c0.png?resizew=4)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
8 . 若双曲线
与
有相同的焦点,与双曲线
有相同渐近线.
(1)求双曲线
的标准方程;
(2)求过点
的抛物线标准方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44d12ebd10f6c0bcf98be52c32b107f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7f0fe85f726937cb3a0360a6681cf76.png)
(1)求双曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)求过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71a3619ccbcf65312754a970647014e5.png)
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名校
解题方法
9 . 一动圆经过点且与直线
相切,设该动圆圆心的轨迹为曲线C.
(1)求曲线C的方程;
(2)若直线l与C交于A,B两点,且线段AB的中点坐标为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b86022205a7487439dd8d0897cd3bf19.png)
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2024-01-24更新
|
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5卷引用:新疆兵团地州学校2023-2024学年高二上学期期末联考数学试题
10 . 已知抛物线
,点
在
上,过点
的直线
与
相交于
两点,直线
的斜率分别为
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7df40ba57bb5819b4aaa38d514500052.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8902bff3e60ecebdcd71bb2ee8bb97b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9380191d5128132ab5995d3f048d3539.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/790ef3382b1c731f2885eecfd92c2a86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90963760acac7bfad3ae03088c6c80b0.png)
A.![]() |
B.![]() |
C.![]() ![]() |
D.![]() ![]() |
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2024-01-23更新
|
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