(2)當(dāng)BC=4,cosC=時(shí).求⊙O的半徑. 查看更多

 

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如圖△ABC中,AB=AC,AE⊥BC,E為垂足,F(xiàn)為AB上一點(diǎn).以BF為直徑的圓與AE相切于M點(diǎn),交BC于G點(diǎn).
(1)求證:BM平分∠ABC;
(2)當(dāng)BC=4,cosC=時(shí),
①求⊙O的半徑;
②求圖中陰影部分的面積.(結(jié)果保留π與根號)

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已知:如圖,在△ABC中,AB=AC,AE是角平分線,BM平分∠ABC交AE于點(diǎn)M,經(jīng)過B,M兩點(diǎn)的⊙O交BC于點(diǎn)G,交AB于點(diǎn)F,FB恰為⊙O的直徑.

(1)求證:AE與⊙O相切;
(2)當(dāng)BC=4,cosC=時(shí),求⊙O的半徑.

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已知:如圖,在△ABC中,AB=AC,AE是角平分線,BM平分∠ABC交AE于點(diǎn)M,經(jīng)過B,M兩點(diǎn)的⊙O交BC于點(diǎn)G,交AB于點(diǎn)F,FB恰為⊙O的直徑.

(1)求證:AE與⊙O相切;

(2)當(dāng)BC=4,cosC=時(shí),求⊙O的半徑.

 

查看答案和解析>>

已知:如圖,在△ABC中,AB=AC,AE是角平分線,BM平分∠ABC交AE于點(diǎn)M,經(jīng)過B,M兩點(diǎn)的⊙O交BC于點(diǎn)G,交AB于點(diǎn)F,FB恰為⊙O的直徑.

(1)求證:AE與⊙O相切;

(2)當(dāng)BC=4,cosC=時(shí),求⊙O的半徑.

查看答案和解析>>

已知:如圖,在△ABC中,AB=AC,AE是角平分線,BM平分∠ABC交AE于點(diǎn)M,經(jīng)過B,M兩點(diǎn)的⊙O交BC于點(diǎn)G,交AB于點(diǎn)F,FB恰為⊙O的直徑.

(1)求證:AE與⊙O相切;

(2)當(dāng)BC=4,cosC=時(shí),求⊙O的半徑.

查看答案和解析>>


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