2016年极坐标与参数方程高考题的几种常见题型答案.pdf

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1、第 1 页 共 9 页极坐标与参数方程高考题的几种常见题型1、O1和 O2的极坐标方程分别为cos4，sin4(I)把 O1和 O2的极坐标方程化为直角坐标方程；(II)求经过 O1，O2交点的直线的直角坐标方程解：(I)cosx，siny，由cos4得cos42所以xyx422即0422xyx为 O1的直角坐标方程同理0422yyx为 O2的直角坐标方程(II)解:由04042222yyxxyx,两式相减得4x-4y=0,即过交点的直线的直角坐标方程为y=x2、以直角坐标系的原点为极点，轴非负半轴为极轴，在两种坐标系中取相同单位的长度.已知直线的方程为，曲线的参数方程为，点是曲线上的一动点.

2、求线段的中点的轨迹方程；()求曲线上的点到直线的距离的最小值.解析 设中点的坐标为，依据中点公式有为参数，这是点轨迹的参数方程，消参得点的直角坐标方程为.5 分直线的普通方程为，曲线的普通方程为，表示以为圆心，以2 为半径的圆，故所求最小值为圆心到直线的距离减去半径，设所求最小距离为d，则.因此曲线上的点到直线的距离的最小值为.3、在极坐标系下，已知圆sincos:O和直线:l22)4sin(。(1)求圆O和直线l的直角坐标方程；当),0(时，求直线l于圆O公共点的极坐标。解：1圆sincos:O，即sincos2第 2 页 共 9 页圆O的直角坐标方程为：yxyx22，即022yxyx直 线

3、:l22)4sin(，即1cossin则 直 线 的 直 角 坐 标 方 程 为：1xy，即01yx。（2）由01022yxyxyx得10yx故直线l与圆O公共点的一个极坐标为)2,1(。4、在直角坐标系xOy 中，以 O为极点，x 正半轴为极轴建立极坐标系，曲线C 的极坐标方程为cos3=1，M,N分别为 C与 x 轴，y 轴的交点。1写出 C的直角坐标方程，并求M,N的极坐标；2设 MN 的中点为P，求直线OP的极坐标方程。解：由得1)3cos(1)sin23cos21(C直角方程为)2,332(3322)0,2(202312321NMyxyx，所以时，所以时，即 M点的直角坐标为 2，0

4、 N点的直角坐标为)332,0(P点的直角坐标为),6,332(),33.1(点的极坐标为则P直线 OP极坐标方程为),(,5、在直角坐标系中，曲线的参数方程为为参数，以原点为极点，轴正半轴为极轴建立极坐标系，曲线的极坐标方程为1求曲线的普通方程与曲线的直角坐标方程；2设为曲线上的动点，求点到上点的距离的最小值，并求此时点的坐标.解析 1由曲线：得两式两边平方相加得：即曲线的普通方程为：由曲线：得：所以即曲线的直角坐标方程为:(2)由 1知椭圆与直线无公共点，椭圆上的点到直线文档编码:CU4H7I2C5V8 HP1Y3I6K9N7 ZU6R7H8Z8Q5文档编码:CU4H7I2C5V8 HP1

5、Y3I6K9N7 ZU6R7H8Z8Q5文档编码:CU4H7I2C5V8 HP1Y3I6K9N7 ZU6R7H8Z8Q5文档编码:CU4H7I2C5V8 HP1Y3I6K9N7 ZU6R7H8Z8Q5文档编码:CU4H7I2C5V8 HP1Y3I6K9N7 ZU6R7H8Z8Q5文档编码:CU4H7I2C5V8 HP1Y3I6K9N7 ZU6R7H8Z8Q5文档编码:CU4H7I2C5V8 HP1Y3I6K9N7 ZU6R7H8Z8Q5文档编码:CU4H7I2C5V8 HP1Y3I6K9N7 ZU6R7H8Z8Q5文档编码:CU4H7I2C5V8 HP1Y3I6K9N7 ZU6R7H8Z8Q5

6、文档编码:CU4H7I2C5V8 HP1Y3I6K9N7 ZU6R7H8Z8Q5文档编码:CU4H7I2C5V8 HP1Y3I6K9N7 ZU6R7H8Z8Q5文档编码:CU4H7I2C5V8 HP1Y3I6K9N7 ZU6R7H8Z8Q5文档编码:CU4H7I2C5V8 HP1Y3I6K9N7 ZU6R7H8Z8Q5文档编码:CU4H7I2C5V8 HP1Y3I6K9N7 ZU6R7H8Z8Q5文档编码:CU4H7I2C5V8 HP1Y3I6K9N7 ZU6R7H8Z8Q5文档编码:CU4H7I2C5V8 HP1Y3I6K9N7 ZU6R7H8Z8Q5文档编码:CU4H7I2C5V8 HP1

7、Y3I6K9N7 ZU6R7H8Z8Q5文档编码:CU4H7I2C5V8 HP1Y3I6K9N7 ZU6R7H8Z8Q5文档编码:CU4H7I2C5V8 HP1Y3I6K9N7 ZU6R7H8Z8Q5文档编码:CU4H7I2C5V8 HP1Y3I6K9N7 ZU6R7H8Z8Q5文档编码:CU4H7I2C5V8 HP1Y3I6K9N7 ZU6R7H8Z8Q5文档编码:CU4H7I2C5V8 HP1Y3I6K9N7 ZU6R7H8Z8Q5文档编码:CU4H7I2C5V8 HP1Y3I6K9N7 ZU6R7H8Z8Q5文档编码:CU4H7I2C5V8 HP1Y3I6K9N7 ZU6R7H8Z8Q5

8、文档编码:CU4H7I2C5V8 HP1Y3I6K9N7 ZU6R7H8Z8Q5文档编码:CU4H7I2C5V8 HP1Y3I6K9N7 ZU6R7H8Z8Q5文档编码:CU4H7I2C5V8 HP1Y3I6K9N7 ZU6R7H8Z8Q5文档编码:CU4H7I2C5V8 HP1Y3I6K9N7 ZU6R7H8Z8Q5文档编码:CU4H7I2C5V8 HP1Y3I6K9N7 ZU6R7H8Z8Q5文档编码:CU4H7I2C5V8 HP1Y3I6K9N7 ZU6R7H8Z8Q5文档编码:CU4H7I2C5V8 HP1Y3I6K9N7 ZU6R7H8Z8Q5文档编码:CU4H7I2C5V8 HP1

9、Y3I6K9N7 ZU6R7H8Z8Q5文档编码:CU4H7I2C5V8 HP1Y3I6K9N7 ZU6R7H8Z8Q5文档编码:CU4H7I2C5V8 HP1Y3I6K9N7 ZU6R7H8Z8Q5文档编码:CU4H7I2C5V8 HP1Y3I6K9N7 ZU6R7H8Z8Q5文档编码:CU4H7I2C5V8 HP1Y3I6K9N7 ZU6R7H8Z8Q5文档编码:CU4H7I2C5V8 HP1Y3I6K9N7 ZU6R7H8Z8Q5文档编码:CU4H7I2C5V8 HP1Y3I6K9N7 ZU6R7H8Z8Q5文档编码:CU4H7I2C5V8 HP1Y3I6K9N7 ZU6R7H8Z8Q5

10、文档编码:CU4H7I2C5V8 HP1Y3I6K9N7 ZU6R7H8Z8Q5文档编码:CU4H7I2C5V8 HP1Y3I6K9N7 ZU6R7H8Z8Q5文档编码:CU4H7I2C5V8 HP1Y3I6K9N7 ZU6R7H8Z8Q5文档编码:CU4H7I2C5V8 HP1Y3I6K9N7 ZU6R7H8Z8Q5文档编码:CU4H7I2C5V8 HP1Y3I6K9N7 ZU6R7H8Z8Q5文档编码:CU4H7I2C5V8 HP1Y3I6K9N7 ZU6R7H8Z8Q5文档编码:CU4H7I2C5V8 HP1Y3I6K9N7 ZU6R7H8Z8Q5文档编码:CU4H7I2C5V8 HP1

11、Y3I6K9N7 ZU6R7H8Z8Q5文档编码:CU4H7I2C5V8 HP1Y3I6K9N7 ZU6R7H8Z8Q5第 3 页 共 9 页的距离为所以当时，的最小值为，此时点的坐标为6、在平面直角坐标系中,以为极点,轴非负半轴为极轴建立极坐标系，已知曲线的极坐标方程为,直线 l 的参数方程为:(为参数)，两曲线相交于,两点.写曲线直角坐标方程和直线普通方程;假设,求的值 解析()(曲线的直角坐标方程为,直线的普通方程.4 分()直线的参数方程为(为参数),代入,得到,对应的参数分别为,，则7、已知直线的参数方程为：，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.求曲线

12、的参数方程；当时，求直线与曲线交点的极坐标.解析 由，可得文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L

13、10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R

14、8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5

15、R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T

16、5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V

17、2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4

18、P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8第 4 页 共 9 页所以曲线的直角坐标方程为，标准方程为，曲线的极坐标方程化为参数方程为5 分当时，直线的方程为，化成普通方程为，由，解得或，所以直线与曲线交点的极坐标分别为，；,.8、已知在直角坐标系中

19、，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 求直线的普通方程和曲线的直角坐标方程；设点是曲线上的一个动点，求它到直线的距离的取值范围.解析 直线的普通方程为，C直角坐标方程为.设点，则，所以的取值范围是.(10分9、选修 44:坐标系与参数方程在直角坐标系xOy中，圆 C的参数方程为参数以 O为极点，x 轴的非负半轴为极轴建立极坐标系求圆C的极坐标方程；直线的极坐标方程是，射文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编

20、码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1

21、 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3

22、 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文

23、档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4

24、J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10

25、Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M

26、8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8第 5 页 共 9 页线与圆 C的交点为O、P，与直线的交点为Q，求线段PQ的长10、理已知曲线 C的极坐标方程是以极点为平面直角坐标系的原点，极轴为 x 轴的正半轴，建立平面直角坐标系，直线的参数方程是(t是参数)(I)将曲线 C的极坐标方程和直线的参数方程分别化为直角坐标方程和普通方程；()假设直 线与曲线 C相交于 A，B两点，且，试求实数m的值11、在平面直角坐标系中，曲线的参数方程是为参数将的文档编码:CZ4P5R1R4

27、J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10

28、Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M

29、8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1

30、R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L

31、10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R

32、8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5

33、R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8第 6 页 共 9 页方程化为普通方程；以为极点，轴的正半轴为极轴建立极坐标系.设曲线的极坐标方程是，求曲线与交点的极坐标.解析 依题意，的普通方程为，由题意，的普通方程为，代入圆的普通方程后得，解得，点、的直角坐标为，从而，.7 分12、已知曲线(t为参数)，(为参数)化，的方程为普通方程

34、，并说明它们分别表示什么曲线;过曲线的左顶点且倾斜角为的直线交曲绒于 A，B两点，求.解析 解曲线为圆心是，半径是 1 的圆.曲线为中心是坐标原点，焦点在x 轴上，长轴长是8，短轴长是6的椭圆.4 分 曲线的左顶点为，则直线的参数方程为为参数将其代入曲线整理可得：，设对应参数分别为，则所以.10 分13、在直角坐标系中，曲线 C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，点，直线的极坐标方程为.判断点与直线的位置关系，说明理由；文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2

35、D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:

36、CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 H

37、O4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 Z

38、W2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编

39、码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1

40、 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3

41、 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8第 7 页 共 9 页()设直线与直线的两个交点为、，求的值.解析 直线即，:，点在 上.()直线的参数方程为 为参数，曲线 C的直角坐标方程为，将直线的参数方程代入曲线C的直角坐标方程，有，设两根为，.10 分14、在直角坐标系中，以原点O为极点，以轴正半轴为极轴，与直角坐标系取相同的长度单位，建立极坐标系，设曲线C参数方程为为参数，直线的极坐标方程为.写出曲线C的普通方程和直线的直角坐标方程；求曲线C上的

42、点到直线的最大距离，并求出这个点的坐标.解析 由得，则直线的普通方程为.由得曲线的普通方程为.5 分 在上任取一点，则点到直线的距离为，当，即时，此时点.10 分)15.、河南省商丘市2014 届高三第三次模拟考试数学理试题在极坐标系中，已知圆C的圆心(2,)4C，半径 r=3 I 求圆 C的极坐标方程；文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5

43、L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2

44、R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P

45、5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4

46、T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9

47、V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ

48、4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4J4T5L10Y3 ZW2D9V2R8M8文档编码:CZ4P5R1R4J1 HO4

49、J4T5L10Y3 ZW2D9V2R8M8第 8 页 共 9 页假设0,4，直线l的参数方程为2cos2sinxtytt 为参数，直线l交圆C于 A、B两点，求弦长|AB|的取值范围解：C直角坐标(1,1)，所以圆C的直角坐标方程为22(1)(1)3xy，2 分由cossinxy得，圆 C的直角坐标方程为22cos2sin105 分将2cos2sinxtyt，代入C的直角坐标方程22(1)(1)3xy，得22(cossin)10tt，则0，设，对应参数分别为1t，2t，则122(cossin)tt，1 21t t，212121 2|()48 4sin2ABtttttt因为0,)4，所以sin2

50、0,1)所以84sin28,12)，所以|AB的取值范围为2 2,2 3)16、昆明第一中学2014 届高三第五次月考以直角坐标系的原点为极点，x轴的非负半轴为极轴，建立极坐标系，并在两种坐标系中取相同的长度单位，已知直线l的参数方程为tytx213235(t为参数)，圆 C 的极坐标方程为)3cos(4。I 求直线l和圆 C的直角坐标方程；假设点Px，y在圆 C上，求yx3的取值范围17、2011 年高考新课标理 直角坐标系xOy中,曲线1C的参数方程为2cos2 2sinxy(为参数),M是1C上的动点,P点满足OP=2OM,P点的轨迹为2C.()求2C的方文档编码:CZ4P5R1R4J1