2022年中考复习直线与圆的位置关系 .pdf
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1、2011 年中考复习(28)直线与圆的位置关系一、选择题1、下列直线,是圆的切线的是()A.经过半径外端的直线B.垂直于半径的直线C.与圆有一个公共点的直线D.圆心到它的距离等于这个圆的半径长的直线2、已知 O 的半径 r,圆心 O 到直线 l 的距离为d,当 dr 时,直线 l 与 O 的位置关系是()A相交B相切C相离D以上都不对3、已知圆O 的半径为 R,AB 是圆 O 的直径,D 是 AB 延长线上一点,DC 是圆 O 的切线,C是切点,连结AC,若 CAB 30,则 BD 的长为()A2RB3RCRD32R3 题图4 题图5 题图4、如图 PA、PB 是 O 的切点,AC 是 O 的
2、直径,P40,则 BAC 得度数是()A.10 B.20 C.30 D.40 5、如图,在平面直角坐标系中,A 与 y 轴相切于原点O,平行于x 轴的直线交 A 于 M、M两点,若点M 的坐标是(-4,-2),则点N 的坐标为()A(-1,-2)B(1,2)C(-1.5,-2)D(1.5,-2)6、如图,AB 是 O 的直径,O 交 BC 的中点于D,DE AC 于 E,连接 AD,则下列结论正确的个数是()AD BC EDA B OA12AC DE 是 O 的切线A1 个B2 个C3 个D4 个7、如图,点P 是 O 的直径 BA 延长线上一点,PC 与 O 相切于点 C,CDAB,垂足为
3、D,连结 AC、BC、OC,那么下列结论中:PC2=PAPB;PCOC=OPCD;OA2=ODOP正确的有(A)0 个(B)1 个(C)2 个(D)3 个6 题图7 题图8 题图8、如图,AB 是 O 的直径,AD 是 O 的切线,点C 在 O 上,BCOD,AB 2,OD3,则 BC 的长为()A23B32C32D229、如图,已知O是以数轴的原点O为圆心,半径为1 的圆,45AOB,点P在数轴上运动,若过点P且与 OA平行的直线与O有公共点,设xOP,则x的取值范围是A 1x 1 B2x2C 0 x2Dx2二、填空题1、如图,MAB 30,P 为 AB 上的点,且 AP6,圆 P与 AM
4、相切,则圆 P 的半径为1 题图2 题图3 题图2、如图,已知AB 是 O 的直径,PB 是 O 的切线,PA 交 O 于 C,AB 3cm,PB4cm,则BC.3、如图,PA、PB分别切O于点A、B,点E是O上一点,且60AEB,则P_度4、如图,以O 为圆心的两个同心圆中,大圆的弦AB 与小圆相切于点C,若大圆半径为10cm,小圆半径为6cm,则弦 AB 的长为cm4 题图5 题图6 题图5、如图,60ACB,半径为1cm 的O切BC于点C,若将O在CB上向右滚动,则当P A O B 第 9 题文档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:
5、CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码
6、:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编
7、码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档
8、编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文
9、档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3
10、文档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J
11、3文档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3滚动到O与CA也相切时,圆心O移动的水平距离是_cm6、如图,DB 为半圆的直径,A 为 BD 延长线上一点,AC 切半圆于点E,BCAC 于点 C,交半圆于点 F已知
12、 BD 2,设 AD x,CFy,则 y 关于 x 的函数解析式是7、如图,AB 与 O 相切于点B,线段 OA 与弦 BC 垂直于点 D,AOB 60,BC 4cm,则切线 AB cm.第 19题图ABCDO7 题图8 题图9 题图8、如图,直线AB 切 O 于 C 点,D 是 O 上一点,EDC30o,弦 EFAB,连结 OC 交 EF于 H 点,连结CF,且 CF2,则 HE 的长为 _9、如图,点 A、B、C 在 O 上,切线CD 与 OB 的延长线交于点D,若 A30,CD32,则 O 的半径长为10、如图,PA、PB 分别与 O 相切于点A、B,O 的切线 EF 分别交 PA、PB
13、 于点 E、F,切点 C 在?AB 上,若 PA 长为 2,则 PEF 的周长是?ABPCEF?O10 题图11 题图12 题图11、如图AB、AC是O的两条弦,A30,过点C的切线与OB的延长线交于点D,则D的度数为12、RtABC 中,9068CACBC,则 ABC 的内切圆半径r_三、解答题1、如图 AB 为 O直径 C为 O上一点,AD 和过 C点的切线互相垂直,垂足为D,求证:AC平分DAB。文档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:CJ10S2
14、C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:CJ10S
15、2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:CJ10
16、S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:CJ1
17、0S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:CJ
18、10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:C
19、J10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:
20、CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J32、已知:AB是 O的直径,BC是 O的切线,切点为B,OC平行于弦 AD,求证:DC是 O的切线。3、如图,AB是 O的直径,BAC=30,M是 OA上一点,过M作 AB的垂线交AC于点 N,交 BC的延长线于点E,直线 CF交 EN于点 F,且 ECF=E.(1
21、)证明 CF是 O的切线;(2)设 O的半径为1,且 AC=CE,求 MO的长.4、如图,O的半径OD经过弦AB(不是直径)的中点C,过AB的延长线上一点P作O的切线PE,E为切点,PEOD;延长直径AG交PE于点H;直线DG交OE于点F,交PE于点K(1)求证:四边形OCPE是矩形;(2)求证:HKHG;(3)若EF2,FO1,求KE的长PEDKHGCABFO文档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 ZH8B9H10Y2J3文档编码:CJ10S2C7F7Q6 HL8G1C5K10U7 Z
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