如图,在三角形ABC中,∠C=2∠A,AC=2CB,求证∠B=90°图片链接:file://C:\Documents and Settings\Administrator\Local Settings\Temporary Internet Files\Content.IE5\ECSFNTNT\1112254132_828193240[1].jpg
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如图,在三角形ABC中,∠C=2∠A,AC=2CB,求证∠B=90°图片链接:file://C:\Documents and Settings\Administrator\Local Settings\Temporary Internet Files\Content.IE5\ECSFNTNT\1112254132_828193240[1].jpg
如图,在三角形ABC中,∠C=2∠A,AC=2CB,求证∠B=90°
图片链接:file://C:\Documents and Settings\Administrator\Local Settings\Temporary Internet Files\Content.IE5\ECSFNTNT\1112254132_828193240[1].jpg
如图,在三角形ABC中,∠C=2∠A,AC=2CB,求证∠B=90°图片链接:file://C:\Documents and Settings\Administrator\Local Settings\Temporary Internet Files\Content.IE5\ECSFNTNT\1112254132_828193240[1].jpg
虽然看不见图,我也能帮你解, 做角C的角平分线,交AB于点E ,因为角C=2角A,所以,角ACE=角A,所以AE=CE,过E点做AC的垂线,交AC于点D,因为AE=CE,所以AD=DC(等腰三角形三线合一),因为AC=2BC,AC=2DC,所以DC=BC,应为CE为角C的角平分线,所以角ACE=角ECB,CB=CD,CE=CE,所以三角形DCE与三角形BCE全等,所以角B=角EDC=90°