解题方法
1 . 在直角坐标系
中,直线
的参数方程为
(
为参数).以坐标原点
为极点,
轴的正半轴为极轴建立极坐标系,曲线
的极坐标方程为
.
(1)求
的直角坐标方程;
(2)设直线
与曲线
交于
,
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b6e2b88d7e5505ba0a602d5ba98e7bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d0a85a94b4475b468323e495904882f.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)设直线
![](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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4dfec890cdfdda355e19463f3be813.png)
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2023-03-29更新
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10卷引用:四川省自贡市2023届高三下学期第二次诊断性考试数学(文)试题
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2 . 已知直线
的参数方程是
(
为参数,
),以平面直角坐标系的原点为极点,
轴的正半轴为极轴,建立极坐标系,曲线
的极坐标方程为
.设直线
和曲线
交于
,
两点.
(1)求
,
的值及曲线
的直角坐标方程;
(2)若
,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/208249adb4b3bfcb23907e3a12648fd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10adc3992efb2badc23f81d36faa206f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/925b34a1e7a48f450d883f9a0197e5c9.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfc316f251b316a8a62c60017289cc80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05da40a2d7dab5d6a003906ca19d4749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/797c488729678e74e0825c2e92b544b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e43909661a79f57cd15f66e3928f323f.png)
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2021-08-04更新
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2卷引用:四川省自贡市2020-2021学年高二下学期期末数学(理)试题
3 . 在平面直角坐标系xOy中,直线l的参数方程为
(t为参数,0≤α<π),以原点为极点,以x轴正半轴为极轴建立极坐标系,曲线C的极坐标方程为ρ2=
,直线l与曲线C的交点为A,B.
(1)求曲线C的直角坐标方程及α=
时|AB|的值;
(2)设点P(﹣1,1),求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fe57b61bf5c4f7d9811b7e8a394477b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43e3aee7af56b3cea269290d73992405.png)
(1)求曲线C的直角坐标方程及α=
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1ad72d7565699d1ebb741eb0ce12bac.png)
(2)设点P(﹣1,1),求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f379ff7f4dd87e74efcb9cc1145e1db.png)
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