1 . 已知椭圆
的右顶点
,过点
的直线
与椭圆
交于
,
两点(
,
异于点
),当直线
与
轴垂直时,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/1/5772faf0-2aa5-4366-8bd5-84be3bc19289.png?resizew=135)
(1)求椭圆C的方程;
(2)求
面积的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cd67f4ff7cb2455222ec40bc1d8bf04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fec0bc3a43265b63b6964476ca327fab.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/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/158db3f561cb7fc2cc6b4a884be80c93.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/1/5772faf0-2aa5-4366-8bd5-84be3bc19289.png?resizew=135)
(1)求椭圆C的方程;
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98013a5042685a1db94249e70c62c09a.png)
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2024-01-23更新
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609次组卷
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4卷引用:四川省凉山州安宁河联盟2023-2024学年高二上学期期末联考数学试题
名校
解题方法
2 . 在直三棱柱
中,底面
为等腰直角三角形,且满足
,点
满足
,其中
,
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f90e17995e2f71e297d94ae51c7e5b1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea534e984a43f352055691305b73ec16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79296cd4046a71e163a8f3e647a176ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/994fe2e2ccff825adfe4567a84e0fd79.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/1/2b17cb2d-c0e6-471f-bee5-098c40bde9df.png?resizew=145)
A.当![]() ![]() ![]() ![]() |
B.当![]() ![]() |
C.当![]() ![]() ![]() |
D.当![]() ![]() ![]() |
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2023-12-29更新
|
502次组卷
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4卷引用:四川省凉山州安宁河联盟2023-2024学年高二上学期期末联考数学试题
四川省凉山州安宁河联盟2023-2024学年高二上学期期末联考数学试题(已下线)期末精确押题之多选题(40题)-2023-2024学年高二数学上学期《考点·题型·难点》期末高效复习(人教A版2019)四川省广安市华蓥中学2023-2024学年高二上学期1月月考数学试题(已下线)高二上学期期末考点大通关真题精选100题(1)
名校
解题方法
3 . 已知
是圆
上一点,过点
作垂直于
轴的直线,垂足为
,点
满足
.若点
,
,则
的取值范围是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fb6e9693f41a982230a768aab99df9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb29c3477fde8d8c3c42c851a3636bc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ada753580438fed0612f88d79b0ad4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9b976243dd944629217f35588e5a7e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba0ed7bfe8dd774cfa5d432f108d88a3.png)
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2023-12-29更新
|
614次组卷
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4卷引用:四川省凉山州安宁河联盟2023-2024学年高二上学期期末联考数学试题
四川省凉山州安宁河联盟2023-2024学年高二上学期期末联考数学试题(已下线)期末精确押题之填空题(40题)-2023-2024学年高二数学上学期《考点·题型·难点》期末高效复习(人教A版2019)河南省南阳市第一中学校2024届高三上学期期末模拟数学试题广东省中山市中山纪念中学2024届高三上学期第一次调研数学试题
解题方法
4 . 设函数
,若方程
有6个不同的实数解,则实数a的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69dd1e176865c3eb40e2d307d34a84e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26e2efea539bb04d8e1d3d439d5b8b48.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2023-12-27更新
|
889次组卷
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6卷引用:四川省凉山彝族自治州安宁河联盟2023-2024学年高一上学期期末联考数学试题
四川省凉山彝族自治州安宁河联盟2023-2024学年高一上学期期末联考数学试题(已下线)期末精确押题之单选题(45题)--《考点·题型·难点》期末高效复习(已下线)专题04 指数函数与对数函数4-2024年高一数学寒假作业单元合订本湖北省部分学校2023-2024学年高一上学期期末数学试题云南省昆明市禄劝彝族苗族自治县第一中学2023-2024学年高一上学期期末教学测评数学试卷(已下线)专题2.4 函数的图象与函数的零点问题【八大题型】
名校
解题方法
5 . 已知
,
分别是椭圆
:
的左,右顶点,
为椭圆
上的点,直线
,
的斜率之积为
.
(1)求椭圆
的方程;
(2)直线
与椭圆
交于
,
两点,且直线
与
相交于点
,若点
在直线
上,证明:直线
过定点.
![](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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dd54b9df3402ad91e2d34c40efe0c7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dea8a480a2fe03293cb8303da8837d7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/602baac86c2b1668ecdfadc8a5948885.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)直线
![](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/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7785afeeaf274892253d04b4f693b367.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f23d29646155e27b172ecdf263e2d702.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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2023-12-14更新
|
145次组卷
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5卷引用:四川省凉山州宁南中学2023-2024学年高二上学期期末模拟数学试题(二)
名校
解题方法
6 . 在平面直角坐标系
中,点
,若点
满足
,则
的最小值为( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d5f3c060b090470387fd646cc9decbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ab34ce6cee0673ab0d37b660d57bc07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a76f84fdba813392c1c03d6109618ad3.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-11-06更新
|
602次组卷
|
8卷引用:四川省凉山州宁南中学2023-2024学年高二上学期期末模拟数学试题(三)
四川省凉山州宁南中学2023-2024学年高二上学期期末模拟数学试题(三)上海市青浦区第一中学2024届高三上学期期中数学试题广东省云浮市罗定中学城东学校2023-2024学年高二上学期12月月考数学试题四川省眉山市仁寿第一中学校南校区2023-2024学年高二上学期12月月考数学试题河南省信阳市商城县上石桥高级中学2023-2024学年高二上学期12月月考数学试题(已下线)专题02 直线和圆的方程(3)(已下线)专题02 直线和圆的方程(5)(已下线)重难点7-1 圆的最值与范围问题(8题型+满分技巧+限时检测)
解题方法
7 . 已知椭圆
的离心率为
,点
在椭圆
上.
(1)求椭圆
的标准方程;
(2)过点
的直线
交椭圆
于
两点,
为坐标原点,求
面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5989c84e320b504511f23eeb6e7357.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c179fe7eff7abfdd092b63c9c1b82d0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b25e326fdf9e5456f48e8a99a069f379.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/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea1f0417d8269f01d8e0bc1a8756e2ac.png)
您最近一年使用:0次
解题方法
8 . 设
,且满足
,则下列判断正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2684b72f9f38f5046c8ecd4280b7b14b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1de81a3d15d17a7c40877d9d555337a1.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
9 . 已知函数
.给出下列四个结论:①函数
的图象存在对称中心;②函数
是
上的偶函数;③
;④若
,则函数
有两个零点.其中,所有正确结论的序号为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a647e5a0da7ef185fcc3511c10d8467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f66d61d5f66d68b4c4a2a25fd7103621.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9965004da00237069594dfc0c794df13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0767a92fe059b6ee0e7882f96aa12571.png)
您最近一年使用:0次
2023-07-22更新
|
136次组卷
|
2卷引用:四川省凉山州2022-2023学年高二下学期期末考试文科数学试题
10 . 已知椭圆
的离心率为
,点
在椭圆
上.
(1)求椭圆
的标准方程;
(2)过点
的直线
交椭圆
于
两点,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5989c84e320b504511f23eeb6e7357.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c179fe7eff7abfdd092b63c9c1b82d0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b25e326fdf9e5456f48e8a99a069f379.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/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d44e8bc37ed03f44470762748a8f942a.png)
您最近一年使用:0次