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電子課本網(wǎng) 第49頁

第49頁

信息發(fā)布者:
??$解:相似,理由如下:$??
??$因?yàn)锳B=2 , BC=4,AC=3 , $??
??$A'B'=3 , B'C'=6 , A'C'=4.5 .$??
??$所以\frac {AB}{A'B'}=\frac {BC}{B'C'}=\frac {AC}{A'C'}=\frac {2}{3}$??
??$所以△ABC∽△A'B'C'$??
??$解:相似,理由如下:$??
??$由圖可知,A_{1}B_{1}=\sqrt{22+22}= 2\sqrt{2},$??
??$A_{2}B_{2}=\sqrt{12+12}=\sqrt{2},$??
??$ A_{1}C_{1}=4, A_{2}C_{2}= 2,$??
??$B_{1}C_{1}=\sqrt{22+62}=2\sqrt{10}$??
??$B_{2}C_{2}=\sqrt{12+32}=\sqrt{10}$??
??$因?yàn)閈frac {A_{1}B_{1}}{A_{2}B_{2}}=\frac {A_{1}C_{1}}{A_{2}C_{2}}=\frac {B_{1}C_{1}}{B_{2}C_{2}}$??
??$所以△A_{1}B_{1}C_{1}∽△A_{2}B_{2}C_{2}$?

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??$\frac {25}{12}\ \mathrm {cm}$??
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