名校
1 . 某同学利用图形计算器研究教材中一例问题“设点
,
,直线
,
相交于点M,且它们的斜率之积为
,求点M的轨迹方程”时,将其中已知条件“斜率之积为
”拓展为“斜率之积为常数
”之后,进行了如图所示的作图探究:
![](https://img.xkw.com/dksih/QBM/2021/1/27/2645089272954880/2651693900840960/STEM/3d217257-3ca3-4ff8-9d6b-5c848d6d0799.png?resizew=195)
![](https://img.xkw.com/dksih/QBM/2021/1/27/2645089272954880/2651693900840960/STEM/6a6a6eb1-633d-48bd-9799-9be0469f6918.png?resizew=200)
![](https://img.xkw.com/dksih/QBM/2021/1/27/2645089272954880/2651693900840960/STEM/f74ddd64-f2df-496e-8e44-8a8665a02e35.png?resizew=190)
参考该同学的探究,下列结论正确的有:( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d71fb4d3db6c9922d3b605a6d40e529.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54fe2c124d5bbbbe666ee145cd454b6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69d2b798744645af88a4fa411344a83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b889efe020137b112bfafaa8e0becda4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b889efe020137b112bfafaa8e0becda4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2799abb64fd7bfce9dfa7228aa460564.png)
![](https://img.xkw.com/dksih/QBM/2021/1/27/2645089272954880/2651693900840960/STEM/3d217257-3ca3-4ff8-9d6b-5c848d6d0799.png?resizew=195)
![](https://img.xkw.com/dksih/QBM/2021/1/27/2645089272954880/2651693900840960/STEM/6a6a6eb1-633d-48bd-9799-9be0469f6918.png?resizew=200)
![](https://img.xkw.com/dksih/QBM/2021/1/27/2645089272954880/2651693900840960/STEM/f74ddd64-f2df-496e-8e44-8a8665a02e35.png?resizew=190)
参考该同学的探究,下列结论正确的有:( )
A.![]() |
B.![]() |
C.![]() |
D.![]() |
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2021-02-05更新
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8卷引用:重庆市部分区2020-2021学年高二上学期期末联考数学试题
2 . 函数
的定义域是A,函数
的定义域为B,则
是
的______ 条件(填写充分不必要,必要不充分,充要,既不充分也不必要中的一个).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9e9f94e79a1827919291a3caff44085.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc5bbf1426b9fa7c4d49659797ef34ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
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2023-03-01更新
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2卷引用:内蒙古自治区包头市2022-2023学年高一上学期期末数学试题
20-21高一·浙江·期末
3 . 已知原命题为“若
,则
”,则它的逆否命题是__________ (填写”真命题”或”假命题”).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca542e78b7d77d008c9c4752afa91a55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/199e9b71bddd6f73725518ab2d567b32.png)
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4卷引用:【新东方】高中数学20210304-002
名校
4 . 设非零向量
是直线
的一个方向向量,则
可以是________ .(只需填写一个)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/337ab4dc61186ca58bb0605cb6d02df0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f19038b72902c839171a97e816583f21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/337ab4dc61186ca58bb0605cb6d02df0.png)
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5 . 椭圆
的焦点为
,点
在椭圆上.若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e203545563ef6c33968cd9fab532638e.png)
____________ .(用数字填写)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff86e85e4d467091f2fa73018e23a1ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c26ce8a486d789c2e138296b62747059.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e203545563ef6c33968cd9fab532638e.png)
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2018-01-24更新
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4卷引用:天津市红桥区2017-2018学年高二上学期期末考试数学(文)试题
6 . “x2-3x+2<0”是“-1<x<2”成立的______ 条件(在“充分不必要”,“必要不充分”,“充要”,“既不充分又不必要”中选一个填写).
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7 . 双曲线
的焦距为_______ .(用数字填写)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a012b166b00cf5638eae8b99fd50083.png)
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8 . 命题:“方程x2=2的解是
”中使用了逻辑联结词_____ .(填写“或、且、非”)
![](https://img.xkw.com/dksih/QBM/2016/3/25/1572557969055744/1572557974716416/STEM/9cdb7b17635c4f188e71962e0f302725.png?resizew=54)
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13-14高二下·江苏扬州·期末
9 . “
”是“函数
为奇函数”的_______ 条件.
(从“充要”,“充分不必要”,“必要不充分”,“既不充分也不必要”中选择适当的填写)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/590e165e407098fcac9f871beb047dc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ea070a08757077f748e0b631168483.png)
(从“充要”,“充分不必要”,“必要不充分”,“既不充分也不必要”中选择适当的填写)
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解题方法
10 . 椭圆规是画椭圆的一种工具,如图1所示,在十字形滑槽上各有一个活动滑标
,
,有一根旋杆将两个滑标成一体,
,
为旋杆上的一点且在
,
两点之间,且
,当滑标
在滑槽
内做往复运动,滑标
在滑槽
内随之运动时,将笔尖放置于
处可画出椭圆,记该椭圆为
.如图2所示,设
与
交于点
,以
所在的直线为
轴,以
所在的直线为
轴,建立平面直角坐标系.则椭圆
的普通方程为______ .
![](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/c4e00ad067ceaf3a8c0452e5cd52a506.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.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/d17663aeb7b7594a6b3af7d1538bb750.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42887d9bf31c1dd99f13c39e63c9ab9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42887d9bf31c1dd99f13c39e63c9ab9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42887d9bf31c1dd99f13c39e63c9ab9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/14/8ec20cdb-37a3-464e-a4ec-f4b67843bf45.png?resizew=402)
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4卷引用:四川省绵阳南山中学2022-2023学年高二上学期期末数学试题
四川省绵阳南山中学2022-2023学年高二上学期期末数学试题陕西省西安市西北工业大学附属中学2019-2020学年高二下学期5月月考数学(理)试题(已下线)【新教材精创】2.5.2+椭圆的几何性质(1)-B提高练-人教B版高中数学选择性必修第一册新疆生产建设兵团第六师五家渠高级中学2022-2023学年高二下学期开学考试数学试题