1 . 在平面直角坐标系xOy中,曲线
(
为参数),在以原点为极点,x轴正半轴为极轴建立的极坐标系中,曲线
,设点A,B分别在曲线
、
上,则
的最大值是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0220d4f8cf7fe89a6ac222ddcbd13f17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2867c238455f7e2fba927576df522d47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4dfec890cdfdda355e19463f3be813.png)
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2022-07-17更新
|
107次组卷
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4卷引用:河南省南阳市2021-2022学年高二下学期期末数学文科试题
2 . 在平面直角坐标系xOy中,曲线
的参数方程为
(
为参数),以坐标原点O为极点,x轴非负半轴为极轴建立极坐标系,曲线
的极坐标方程为
.若
和
有公共点,则a的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7de7fee02b45e2db6172caeee2b91c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/222c88f26391f93cf1cdf69794409a06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
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3 . 曲线
上任意一点P到直线
的距离的最大值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/925b34a1e7a48f450d883f9a0197e5c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c90d8a75324dfec93bcf4ede3e75385b.png)
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2022-07-06更新
|
264次组卷
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2卷引用:河南省南阳地区2021-2022学年高二下学期期终摸底考试文科数学试题
4 . 已知直线l的参数方程为
(t为参数,
),以坐标原点为极点,x轴的正半轴为极轴建立极坐标系,曲线C的极坐标方程为
,若直线l与曲线C相交于M,N两点,且线段MN的中点坐标为
,则直线l的倾斜角为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a559fb9638bf225a9c5f72002b46259.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a3fa587a9b2e1c9fe82750db0ec22fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3090f402c832733acd781e0406ec19e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29343388ca8b33dc98325e65382b38a0.png)
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解题方法
5 . 在极坐标系中,直线
和圆
交于
、
两点,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88bee8e70f1fab639be1636c7bce0477.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02f5608394a6a0d330073f1c9d597a42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6183bf1f2fce568097003d517d9b99fa.png)
![](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/88bee8e70f1fab639be1636c7bce0477.png)
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6 . 在极坐标系中,直线
与曲线
交于
两点,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88bee8e70f1fab639be1636c7bce0477.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28dd8eb54869951c59ff46647a6d23b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e0cb878349009a779d94b1bc40319bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88bee8e70f1fab639be1636c7bce0477.png)
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7 . 直线
被圆
(
为参数)截得的弦长为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb5e8941e3662b226d03275ca433f478.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3901558020f7e63a98c03ed574a2ae1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
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8 . 在极坐标系中,有点
,
,则
,
两点间的距离为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4cc285893eb290a16fdbfbfa10f77fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e9fa1e8f85dc2320e52ff40471d1c0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
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2019-06-18更新
|
286次组卷
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2卷引用:【市级联考】河南省洛阳市2018-2019学年高二5月质量检测(期末)数学(文)试题
9 . 已知椭圆
的参数方程为
(
为参数,
),则此椭圆的焦距为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eff99f6c352cb5d1ff4132e9085d60e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e36c9c91220b0f2cbd4a48e8fa90e3d.png)
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10 . 曲线
上的点到直线
的最大距离为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13987334ab479085dc8939bebe942850.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/514fdbb5bb097926b912d672a95fdf70.png)
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2018-07-19更新
|
595次组卷
|
2卷引用:【全国市级联考】河南省鹤壁市2017-2018学年高二下学期期末考试(文科)数学试题