oldlee 发表于 2006-5-15 21:55:00

[求半径]

<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; LINE-HEIGHT: 20pt; mso-line-height-rule: exactly; mso-layout-grid-align: none">下图A点坐标(1407.6303,512.5693,0) B点坐标(1792.7004,674.8925,0) C点坐标(1869.005,253.5121,0),圆心在直线AC上,与直线AB相切且过点C,求该圆半径:<?xml:namespace prefix = o ns = "urn:schemas-microsoft-com:office:office" /><o:p></o:p></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; LINE-HEIGHT: 20pt; mso-line-height-rule: exactly; mso-layout-grid-align: none"><o:p>&nbsp;</o:p></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><?xml:namespace prefix = v ns = "urn:schemas-microsoft-com:vml" /><v:shapetype id=_x0000_t75 stroked="f" filled="f" path="m@4@5l@4@11@9@11@9@5xe" o:preferrelative="t" o:spt="75" coordsize="21600,21600"><v:stroke joinstyle="miter"></v:stroke><v:formulas><v:f eqn="if lineDrawn pixelLineWidth 0"></v:f><v:f eqn="sum @0 1 0"></v:f><v:f eqn="sum 0 0 @1"></v:f><v:f eqn="prod @2 1 2"></v:f><v:f eqn="prod @3 21600 pixelWidth"></v:f><v:f eqn="prod @3 21600 pixelHeight"></v:f><v:f eqn="sum @0 0 1"></v:f><v:f eqn="prod @6 1 2"></v:f><v:f eqn="prod @7 21600 pixelWidth"></v:f><v:f eqn="sum @8 21600 0"></v:f><v:f eqn="prod @7 21600 pixelHeight"></v:f><v:f eqn="sum @10 21600 0"></v:f></v:formulas><v:path o:connecttype="rect" gradientshapeok="t" o:extrusionok="f"></v:path><o:lock aspectratio="t" v:ext="edit"></o:lock></v:shapetype><v:shape id=_x0000_i1025 style="WIDTH: 3in; HEIGHT: 202.8pt" type="#_x0000_t75"><v:imagedata o:title="009" src="file:///C:\DOCUME~1\Oldlee\LOCALS~1\Temp\msohtml1\01\clip_image001.png"></v:imagedata></v:shape><o:p></o:p></P>

oldlee 发表于 2006-5-15 22:04:00

不好意思!刚才没传图片,

zx7218 发表于 2006-5-15 23:22:00

<P>r=233.50086037</P>
<P>&nbsp;</P>

qaz6002 发表于 2006-5-17 07:59:00

对,我也是233.50086037,最终圆是通过相切,相切,相切确定下来的.

oldlee 发表于 2006-5-17 20:17:00

<P>4楼说得完全正确!</P>
<P>&nbsp;</P>

luanmu 发表于 2006-7-19 13:47:00

AC的垂线与AB延长线形成的角做平分线.交点就是圆心.

tqr 发表于 2006-7-19 14:06:00

<P>我的画法:</P>
<P>将AB线相对AC作镜像,然后三点法画圆。</P>
<P>规定圆心在某条线上,首先考虑作镜像。</P>

Joseflin 发表于 2006-7-19 14:11:00

CIRCLE(3p) →1'st=tanAB2'nd=C3'rd=perAC
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