22-23高三上·河南·期末
名校
1 . 在极坐标系中,圆
的极坐标方程为
,直线
的极坐标方程为
.以极点为坐标原点,以极轴为
轴的正半轴,建立平面直角坐标系
.
(1)求圆
及直线
的直角坐标方程;
(2)若射线
分别与圆
和直线
交于
两点,其中
,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2615e613b4725af3e5b330e860a3834.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e325401175aaee37ce062fa69b2a188c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
(1)求圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)若射线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0be6895a2972696747bad7e94faa1492.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dcbe8b4bcd32e5a64ebfd873f8cbb2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eaecdbcf9d0518f42e0f28ea9d1e3f51.png)
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2 . 在直角坐标系xOy中,曲线C1的参数方程为
(α为参数),以坐标原点O为极点,x轴的正半轴为极轴建立极坐标系,曲线C2的极坐标方程为ρsin(
-θ)=
.
(1)求曲线C1的普通方程与曲线C2的直角坐标方程;
(2)设点M(1,0),若曲线C1,C2相交于A,B两点,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ccba3988868e07dc74ef3053102bfff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af9955b5aebb73cd84447e8541f901ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5989c84e320b504511f23eeb6e7357.png)
(1)求曲线C1的普通方程与曲线C2的直角坐标方程;
(2)设点M(1,0),若曲线C1,C2相交于A,B两点,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5026e1d5fcf2498b2e5ec5da4e0b11b2.png)
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3 . 在平面直角坐标系xOy中,直线l的参数方程为
(t为参数),以坐标原点O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ρ+4sinθ=0.
(1)求l的普通方程和C的直角坐标方程;
(2)已知定点P(4,0),直线l与曲线C相交于M,N两点,求|PM|
|PN|的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5251e3a0e07def50ca398dec42c3cf27.png)
(1)求l的普通方程和C的直角坐标方程;
(2)已知定点P(4,0),直线l与曲线C相交于M,N两点,求|PM|
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c97ec04a1aa7ac6fce72d589864940a2.png)
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2021-05-11更新
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7卷引用:宁夏中卫市海原县第一中学2021届高三高考二模数学(文)试题
4 . 在平面直角坐标系
中,曲线
的参数方程为
(
为参数),以原点
为极点,
轴的正半轴为极轴建立极坐标系,直线
的极坐标方程为
.
(1)求曲线
的普通方程和直线
的直角坐标方程;
(2)若点
的坐标为
,直线
与曲线
交于
、
两点,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dadca2f308ede855eb1e25955ade087.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.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/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a909df442c196074eb980d1f4e21b245.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5265d99095b635f62c7915298ec0e963.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)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5026e1d5fcf2498b2e5ec5da4e0b11b2.png)
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5卷引用:宁夏中卫市2021届高三高考第一次优秀生联考数学(文)试题
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5 . 在平面直角坐标系
中,直线
过定点
,倾斜角为
,曲线
的参数方程为
(
为参数);以原点
为极点,
轴的正半轴为极轴,建立极坐标系.
(1)求曲线
的极坐标方程;
(2)已知直线
交曲线
于
,
两点,且
,求
的参数方程.
![](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/521d2cbdff8483ebba708857163ef1d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a5f031fbe09d8ed7d451279f31eb595.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a590e9035ff4ba3f2ccf9214973c8b16.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)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)已知直线
![](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/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7636ff122494af9a0f735eccd117780.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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6 . 在直角坐标系
中,曲线
的参数方程为
(
为参数),以坐标原点O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)求曲线
的极坐标方程并判断
,
的位置关系;
(2)设直线
分别与曲线 C1交于A,B两点,与
交于点P,若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63744798ed3a758bfdc9059291a3f7ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c676dfd6f3e9bea084cb8c750c40349c.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
(2)设直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d1430bfb143cae0b914891f394f1644.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a128cc557e6c6e7e21c945a91896bc7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f645d4b09fba53f971172cd2602c691.png)
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|
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10卷引用:宁夏中卫市2021届高三三模数学(文)试题
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2020·全国·二模
7 . 在直角坐标系
中,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
,曲线
的极坐标方程为
.
(1)求曲线
的直角坐标方程和曲线
的参数方程;
(2)设曲线
与曲线
在第二象限的交点为
,曲线
与
轴的交点为
,点
,求
的周长
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa695c5cf64a2e5f80ec118002c74a6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a45d1bff285b23d99db3225541823be0.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
(2)设曲线
![](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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80c9dcfd9f4c5298035870cb88a34169.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a31f9581ab418bf3efde75c8deccfa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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2020-04-02更新
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239次组卷
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7卷引用:宁夏中卫市2021届高三第二次优秀生联考数学(文)试题
宁夏中卫市2021届高三第二次优秀生联考数学(文)试题宁夏中卫市2021届高三第二次优秀生联考数学(理)试题(已下线)学科网3月第二次在线大联考(新课标Ⅰ)(文科)试题(已下线)学科网3月第二次在线大联考(新课标Ⅰ)(理科)试题湖南省益阳市2019-2020学年高三下学期4月复学摸底考试文科数学试题(已下线)理科数学-学科网3月第二次在线大联考(新课标Ⅲ卷)(已下线)文科数学-学科网3月第二次在线大联考(新课标Ⅲ卷)
8 . 在直角坐标系
中,曲线
的参数方程为
(
为参数,将曲线
经过伸缩变换
后得到曲线
.在以原点为极点,
轴正半轴为极轴的极坐标系中,直线
的极坐标方程为
.
(1)说明曲线
是哪一种曲线,并将曲线
的方程化为极坐标方程;
(2)已知点
是曲线
上的任意一点,又直线
上有两点
和
,且
,又点
的极角为
,点
的极角为锐角.求:
①点
的极角;
②
面积的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf83c66e1c7a55766c4bbf9f32e6047d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d88ec632745f929cf3c6c06af57cc65b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/722c9dd1b118bda99743d7a24fba5e86.png)
(1)说明曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
(2)已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01ebd1b4b8cf0350ccb8efd128e2cce3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1ad72d7565699d1ebb741eb0ce12bac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
①点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcc427a0986b2d13539dd4b1e2a0a1c2.png)
您最近一年使用:0次
2020-03-24更新
|
584次组卷
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6卷引用:宁夏中卫市2020届高三下学期高考第三次模拟考试数学(文)试题
宁夏中卫市2020届高三下学期高考第三次模拟考试数学(文)试题宁夏中卫市2020届高三下学期高考第三次模拟考试数学(理)试题2020届四川省眉山市高三下学期第二次诊断性考试数学(理)试题2020届四川省眉山市高三下学期第二次诊断性考试数学(文)试题(已下线)专题14 坐标系与参数方程-2020年高三数学(理)3-4月模拟试题汇编(已下线)专题13 坐标系与参数方程-2020年高三数学(文)3-4月模拟试题汇编
9 . 已知直线
的参数方程为
(其中
为参数),以原点为极点,以
轴为极轴建立极坐标系,曲线
的极坐标方程为
(
为常数,且
),直线
与曲线
交于
两点.
(1)若
,求实数
的值;
(2)若点
的直角坐标为
,且
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95560c7491101b7d357540341801c0d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.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/1237035452d5ef3547fb3bc518524a10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58d86ee75bfcd4d1b044e9a21c5a0f1f.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/01c74a907dda6bb7d9d56d009d9df253.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae5a64bcb77f5f64e4af6930c249a270.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27cf818dd484cc4cebd40a5f28eb8e9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56143d0f501e361607b959c580dd70ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2020-03-18更新
|
355次组卷
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4卷引用:2020届宁夏中卫市高三下学期第二次模拟考试数学(文)试题
10 . 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,
轴正半轴为极轴建立极坐标系,曲线
的极坐标方程为
,射线
与曲线
交于
两点,直线
与曲线
相交于
两点.
(Ⅰ)求直线
的普通方程和曲线C的直角坐标方程;
(Ⅱ)当
时,求
的值.
![](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/0e10b39fc63ffca588ec1325cbdb1fcc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.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/7b3372821f274d9c2e7c9f911bd5cf26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2db36b4497b911bc047253b832ae01c4.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/01c74a907dda6bb7d9d56d009d9df253.png)
(Ⅰ)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(Ⅱ)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d587f251ac449e1df11d09931c0eb58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2019-10-18更新
|
1254次组卷
|
8卷引用:宁夏中卫市2021届高三二模数学(文)试题