直线与圆位置关系能力提升题.pdfVIP

直线和圆的位置关系

能力提升

1.(2015广州中考)已知☉O的半径是5,直线l是☉O的切线,则点O到直线l的距离是()

A.2.5B.3C.5D.10

2.

(2015山东潍坊中考)如图,AB是☉O的弦,AO的延长线交过点B的☉O的切线于点C,如果∠

ABO=20°,则∠C的度数是()

A.0°B.50°C.45°D.20°

3.

如图,☉O的半径为2,点O到直线l的距离为3,点P是直线l上的一个动点,PB切☉O于点B,则PB

的最小值是()

A.B.C.3D.2

4.(2014江苏常州中考)在平面直角坐标系xOy中,直线l经过点A(-3,0),点B(0,),点P的坐标为

(1,0),☉P与y轴相切于点O,若将☉P沿x轴向左平移,平移后得到☉P(点P的对应点为点P),

当☉P与直线l相交时,横坐标为整数的点P共有()

A.1个B.2个C.3个D.4个

Positionalrelationship

weenstraightlineand

circle

能力提升

1.(2015GuangdongGuangzhouHighSchoolEntranceExamination)Itisknownthattheradiusof☉Ois5,andthestraightlinelis

thetangentlineof☉O,thenthedistancefrompointOtothestraightlinelis()

A.2.5B.3C.5D.10

2.

(2015ShandongWeifangHighSchoolEntranceExamination)Asshowninthefigure,ABisthechordof☉O,and

theextensionlineofAOintersectsthetangentof☉OatpointBatpointC.If∠ABO=20°,thenthedegreeof∠Cis()

A.0°B.50°C.45°D.20°

3.

Asshowninthefigure,theradiusof☉Ois2,thedistancefrompointOtostraightlinelis3,pointPisamovingpointon

straightlinel,PBcuts☉OtopointB,thentheminimumvalueofPBis()

A.B.C.3D.2

4.(2014JiangsuChangzhouHighSchoolEntranceExamination)InthenerectangularcoordinatesystemxOy,thestraight

linelpassesthroughpointA(-3,0),pointB(0,),thecoordinateofpointPis(1,0),☉Pistangenttothey-axisatpointO,if☉Pis

translatedtotheleftalongthex-axis,aftertranslation,☉P(thecorrespondingpointofpointPispointP),when☉Pandthe

straightlineWhenlintersects,thepoint