专题几何证明选讲二课后练习二及详解.pdfVIP

简单课程课后练习

学科：数学

专题：几何证明选讲（二）——直线与圆的位置关系复习

主讲：名校实验班数学

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题1

如图，已知等边ΔABC内接于圆，在劣弧AB上取异于A、B的点M，直线AC与BM相交于

SimpleLearningOnlineCourse

After-SecessPractice

Subject:

Mathematics

SpecialTopic:SelectedLecturesonGeometricProofs(2)-Reviewofthe

PositionalRelationshipweenStraightLinesandCirc

Lecturer:YangQi,mathematicsteacherinexperimentalcl

assoffamousschoolinBeijing

Room702B,TowerE,YingchuangPowerBuilding,No.1ShangdiEast

Road,HaidianDistrict,Beijing

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Question1Asshowninthefigure,itisknownthattheequilateralABCΔisinscribedinthecircle,takea

pointMdifferentfromAandBontheminorarcAB,andthestraightlineACintersectsBMat

K，直线CB与AM相交于N。证明：线段AK与BN的乘积与M点的选择无关。

C

B

A

M

K

N

题2

如图，PA与⊙O相切于点A，过点P的割线与弦AC交于点B，与⊙O交于D、E两点，且PA

＝PB＝BC，若PD＝4，DE＝21，则AB＝