1 . 已知曲线
的方程为
,直线
的方程为
.当直线
与曲线
有两个交点时,实数
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bfe329be27051b21fda2bd087beb749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40a0ac4bfe4ded00b4400f913e0c9862.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/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
2 . 曲线C:
,点P在曲线C上.给出下列三个结论:
①曲线C关于x轴对称;
②曲线C关于y轴对称;
③曲线C上的点的横坐标的取值范围是
;
④若
,
,则存在点P,使
的面积大于
.
其中,所有正确结论的序号是____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a705d6c1ab8e930a506dc6e65d4c7346.png)
①曲线C关于x轴对称;
②曲线C关于y轴对称;
③曲线C上的点的横坐标的取值范围是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ead3fdcb8fe8f5eb3dbe7d96cabc28b.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0929421a6188c3122442866b0b85a5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f55d12701014cf53071093e8739d089b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2205cffebf8c4d5f81d15ed7b85c8936.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4b8503f4706b8321e4e79a87eadea84.png)
其中,所有正确结论的序号是
您最近一年使用:0次
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3 . 均匀压缩是物理学一种常见现象.在平面直角坐标系中曲线的均匀压缩,可用曲线上点的坐标来描述.设曲线
上任意一点
,若将曲线
纵向均匀压缩至原来的一半,则点
的对应点为
.同理,若将曲线
横向均匀压缩至原来的一半,则曲线
上点
的对应点为
.若将单位圆
先横向均匀压缩至原来的一半,再纵向均匀压缩至原来的
,得到的曲线方程为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28965097a2c8f6872accc5ba80f44dfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f18a6ddb140c806e760f36655f29c45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c15b599681cd8936a94f26834852fe7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f240cccaf24af8a796abb95cb42be52e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dac452fbb5ef6dd653e7fbbef639484.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2022-01-15更新
|
416次组卷
|
3卷引用:北京市东城区2021-2022学年高二上学期期末考试数学试题
4 . 给出下列结论:
(1)方程
=l表示一条直线;
(2)到x轴的距离为2的点的轨迹方程为y=2;
(3)方程
表示四个点.
其中正确结论的序号是________ .
(1)方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02fe1b6f20cd9115202e23090f1ea9da.png)
(2)到x轴的距离为2的点的轨迹方程为y=2;
(3)方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83304e0034d79f96dd55ba81b186802c.png)
其中正确结论的序号是
您最近一年使用:0次
2019-06-06更新
|
620次组卷
|
2卷引用:【全国百强校】北京市第四中学2018-2019学年下学期高一年级期中测试数学试题
名校
5 . 方程x+|y-1|=0表示的曲线是
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2019-06-06更新
|
1339次组卷
|
4卷引用:【全国百强校】北京市第四中学2018-2019学年下学期高一年级期中测试数学试题
名校
6 . 曲线C是平面内到点F(0,1)和直线l:y=4的距离之和等于5的点P的轨迹.
(I)试判断点M(1,2),N(4,4)是否在曲线C上,并说明理由;
(II)求曲线C的方程,并画出其图形;
(III)给定点A(0,a),若在曲线C上恰有三对不同的点,满足每一对点关于点A对称,求实数a的取值范围.
(I)试判断点M(1,2),N(4,4)是否在曲线C上,并说明理由;
(II)求曲线C的方程,并画出其图形;
(III)给定点A(0,a),若在曲线C上恰有三对不同的点,满足每一对点关于点A对称,求实数a的取值范围.
您最近一年使用:0次
7 . 平面直角坐标系中,
,
,若曲线
上存在一点
,使
,则称曲线
为“合作曲线”,有下列曲线①
;②
;③
;④
;⑤
,
其中“合作曲线”是__________ .(填写所有满足条件的序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/311497849126f1aaf1da0ec75602eabf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1b47e7bf02b3ca16f7d96b9369e51a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5520bd24f656141b183ce10ce619873.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b28123e129b6426c9a5f31ad8ec2465b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2b629bea8e22de9bfc49158e2289871.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02f1596d3e260ec2198058d1b94ed7e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87300fffa5f1a549a19222bf7ab14f3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b16d1b1c4f6ae3b46ce8be922bf5186a.png)
其中“合作曲线”是
您最近一年使用:0次
2017-11-15更新
|
793次组卷
|
3卷引用:数学(北京卷01)
8 . 如图,平面中两条直线
和
相交于点
,对于平面上任意一点
,若
分别是
到直线
和
的距离,则称有序非负实数对
是点
的“距离坐标”.
![](https://img.xkw.com/dksih/QBM/2015/7/9/1572174844035072/1572174849302528/STEM/c5f708cfca9142d0a67efa59376aba1e.png?resizew=223)
给出下列四个命题:
① 若
,则“距离坐标”为
的点有且仅有
个.
② 若
,且
,则“距离坐标”为
的点有且仅有
个.
③ 若
,则“距离坐标”为
的点有且仅有
个.
④ 若
,则点
的轨迹是一条过
点的直线.
其中所有正确命题的序号为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd8f64ebec4a71a609204458cc54df82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eea5c8fe935beac660eda538e59cd43f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3f87fbbd5c55339ec9601ce6772ebea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd8f64ebec4a71a609204458cc54df82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eea5c8fe935beac660eda538e59cd43f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e467a94e11cba7d2de64cbd2725a24be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://img.xkw.com/dksih/QBM/2015/7/9/1572174844035072/1572174849302528/STEM/c5f708cfca9142d0a67efa59376aba1e.png?resizew=223)
给出下列四个命题:
① 若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/855ae672b41738197a84f8f312951aa1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/980a38b0be31576fa612b262903030d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
② 若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1284df5d3095e17258997667f80038cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/436cfc30057c6ac37832c93658340097.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e467a94e11cba7d2de64cbd2725a24be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
③ 若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9166506c534e7316ff91e22c3df17eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e467a94e11cba7d2de64cbd2725a24be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
④ 若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8eeb4e7de6f75d2b1d13e276ecc6483c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
其中所有正确命题的序号为
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