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
3 . 如果把一个平面区域内两点间的距离的最大值称为此区域的直径,那么曲线
围成的平面区域的直径为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9b79ffef55f4609e7d23a888e508464.png)
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名校
解题方法
4 . 关于曲线
,给出下列四个结论:
①曲线C关于原点对称,但不关于x轴、y轴对称;
②曲线C恰好经过4个整点(即横、纵坐标均为整数的点);
③曲线C上任意一点都不在圆
的内部;
④曲线C上任意一点到原点的距离都不大于
.
其中,正确结论的序号是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48587273b5b9231cfa386411c3985242.png)
①曲线C关于原点对称,但不关于x轴、y轴对称;
②曲线C恰好经过4个整点(即横、纵坐标均为整数的点);
③曲线C上任意一点都不在圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49137970108f50350a3211aa0281faaf.png)
④曲线C上任意一点到原点的距离都不大于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95bacae35b6e16a0a33c2bdc6bc07df7.png)
其中,正确结论的序号是
您最近一年使用:0次
2020-04-28更新
|
563次组卷
|
4卷引用:2020届北京市朝阳区六校联考高三年级四月份测试数学试题A
5 . 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)
6 . 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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