一道数学题,急,大家帮忙看下如图,圆O的半径为1,过点A(2,0)的直线切圆O与点B,交Y轴与C,求线段AB的长.图:http://caomeihudiejie1.blog.163.com/prevPhDownload.do?host=caomeihudiejie1&photoId=fks_0870690860940860650820950950

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一道数学题,急,大家帮忙看下如图,圆O的半径为1,过点A(2,0)的直线切圆O与点B,交Y轴与C,求线段AB的长.图:http://caomeihudiejie1.blog.163.com/prevPhDownload.do?host=caomeihudiejie1&photoId=fks_0870690860940860650820950950

一道数学题,急,大家帮忙看下如图,圆O的半径为1,过点A(2,0)的直线切圆O与点B,交Y轴与C,求线段AB的长.图:http://caomeihudiejie1.blog.163.com/prevPhDownload.do?host=caomeihudiejie1&photoId=fks_0870690860940860650820950950
一道数学题,急,大家帮忙看下
如图,圆O的半径为1,过点A(2,0)的直线切圆O与点B,交Y轴与C,求线段AB的长.
图:http://caomeihudiejie1.blog.163.com/prevPhDownload.do?host=caomeihudiejie1&photoId=fks_087069086094086065082095095069072087080065084086094070093087&frompvphdown
要过程.

一道数学题,急,大家帮忙看下如图,圆O的半径为1,过点A(2,0)的直线切圆O与点B,交Y轴与C,求线段AB的长.图:http://caomeihudiejie1.blog.163.com/prevPhDownload.do?host=caomeihudiejie1&photoId=fks_0870690860940860650820950950
连接OB,因为圆半径为1(单位圆),所以OB为1
因为AC是圆的切线,所以AC垂直于OB,所以角0BA是直角,三角形OBA为直角三角形.
由勾股定理,OA的平方=OB的平方+BA的平方,所以AB=二分之根号三