1 . 已知抛物线的焦点是
,则此抛物线的标准方程是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d6f24360254bdf9d1b47563cf1acf85.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2 . 若关于命题p:A∪∅=A,命题q:A∩∅=A,则下列说法正确的是( )
A.(![]() ![]() | B.(![]() ![]() |
C.p∨q为假 | D.(![]() |
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3 . 命题“若
,则
”的否命题为________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6a46e678bf9d2df5ad4c782b3dc22f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b920eeb1c7e47f8cc07f66a9e210072.png)
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2020-03-22更新
|
115次组卷
|
2卷引用:新疆阿克苏市实验中学2019-2020学年高二上学期第一次月考数学(理)试题
名校
4 . 已知![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
,求:
(1)(
-
)·(
+
);
(2)以
,
为邻边的平行四边形的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5c8c3d9d6c1fcfbee08afc7345e7568.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2446e972f7f74fc97753eeb6075b6b38.png)
(1)(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cb0765070f02f465452e3331dfad09f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bce096a0c43331a03dc7a5edcb4a8348.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
(2)以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
您最近一年使用:0次
2020-03-22更新
|
374次组卷
|
3卷引用:新疆阿克苏市实验中学2019-2020学年高二上学期第一次月考数学(理)试题
解题方法
5 . 已知椭圆
(
)的离心率为
,短轴一个端点到右焦点的距离为2.
(1)求该椭圆的标准方程;
(2)若
是该椭圆上的一个动点,
、
分别是椭圆的左、右焦点,求
的最大值与最小值.
![](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/860884c0017c8bceb5b0edff796c144f.png)
(1)求该椭圆的标准方程;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b5616b075928e12d470ef30ab9d6400.png)
您最近一年使用:0次
2020-03-20更新
|
593次组卷
|
2卷引用:新疆阿克苏市实验中学2019-2020学年高二上学期第二次月考数学(理)试题
名校
6 . 若![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ad2e0f39e291976fcffd82bd5182c13.png)
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/180583e27205ded4602125c8685d04de.png)
,且
,则实数
的值是________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ad2e0f39e291976fcffd82bd5182c13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a29fd18cebd1146dc33b94ec5f7391e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/180583e27205ded4602125c8685d04de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ae93071f7c1e58d35712cea970365b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fcf2b0135708387c320d7967a72126f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
2020-03-20更新
|
275次组卷
|
4卷引用:新疆阿克苏市实验中学2019-2020学年高二上学期第二次月考数学(理)试题
解题方法
7 . 求满足下列条件的曲线方程
(1)已知椭圆以坐标轴为对称轴,且长轴长是短轴长的3倍,点
在该椭圆上,求椭圆的方程.
(2)已知双曲线的离心率为
,焦点是
,
,求双曲线标准方程.
(1)已知椭圆以坐标轴为对称轴,且长轴长是短轴长的3倍,点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/521d2cbdff8483ebba708857163ef1d9.png)
(2)已知双曲线的离心率为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e051d14fd6a787387995331f5e6d026.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fd0825e68122a65426840fbf07cf296.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00ed24bfcc37b79fe9ca61ed8fdf26ea.png)
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8 . 若![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ad2e0f39e291976fcffd82bd5182c13.png)
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/180583e27205ded4602125c8685d04de.png)
,求
,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ad2e0f39e291976fcffd82bd5182c13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c51e3f26596201edadf65b66da7c2f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/180583e27205ded4602125c8685d04de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19a26e3ceb2cce288d90330751ad00c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73536ab0102bd9da66bfeb7950bb766c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/376c36c54325bf30b92a08f930f2a615.png)
您最近一年使用:0次
9 . 已知抛物线的顶点在原点,焦点
在
轴的正半轴,且过点
,过
的直线交抛物线于
,
两点.
(1)求抛物线的方程;
(2)设直线
是抛物线的准线,求证:以
为直径的圆与直线
相切.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2007972af3341f27fbc32ce62dfce5e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(1)求抛物线的方程;
(2)设直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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10 . 椭圆
的焦点坐标是_________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13d3fe3550f7b5a5f5f4d79dc67f674a.png)
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