九年级数学上册第23章图形的相似23.3相似三角形2相似三角形的判定(第3课时)授课课件(新版)华东师大版.ppt

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华师版九年级数学上册,如图,ABCABC,相似比为k,它们的周长之间有什么关系?它们的面积比是多少?,归纳:相似三角形的周长比等于相似比,面积比等于相似比的平方.,分别作出ABC和ABC的高AD和AD.则,例1:如图所示,ABC中,BC18,高AD16,它的内接矩形的两邻边EFFM59,长边MF在BC边上,求矩形EFMN的面积.,解析:因为EFFM59,可设EF5x,FM9x,根据相似三角形的性质,可求出矩形的两邻边长.,例2:某社区为搞好新农村建设,筹集资金20000元,计划在一块上、下底分别是10米、20米的梯形空地上种植花木(如图所示),他们想在AMD和BMC地带种植单价为100元/米2的太阳花,当AMD地带种满花后,已经花了5000元,请你计算一下,若继续在BMC地带种植同样的太阳花,资金是否够用?并说明理由.,解析:先证明AMDCMB,再根据相似三角形面积比与相似比的关系求出CMB的面积,进而求出其所需费用.,

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