如图所示,在△ABC中,AB=AC,M、N分别是AB、AC的中点,D、E为BC上的点,连接DN、EM,若AB=5cm,……如图所示,在△ABC中,AB=AC,M、N分别是AB、AC的中点,D、E为BC上的点,连接DN、EM,若AB=5cm,BC=8cm,DE=4cm,则图中阴影

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如图所示,在△ABC中,AB=AC,M、N分别是AB、AC的中点,D、E为BC上的点,连接DN、EM,若AB=5cm,……如图所示,在△ABC中,AB=AC,M、N分别是AB、AC的中点,D、E为BC上的点,连接DN、EM,若AB=5cm,BC=8cm,DE=4cm,则图中阴影
如图所示,在△ABC中,AB=AC,M、N分别是AB、AC的中点,D、E为BC上的点,连接DN、EM,若AB=5cm,……
如图所示,在△ABC中,AB=AC,M、N分别是AB、AC的中点,D、E为BC上的点,连接DN、EM,若AB=5cm,BC=8cm,DE=4cm,则图中阴影部分的面积为多少

如图所示,在△ABC中,AB=AC,M、N分别是AB、AC的中点,D、E为BC上的点,连接DN、EM,若AB=5cm,……如图所示,在△ABC中,AB=AC,M、N分别是AB、AC的中点,D、E为BC上的点,连接DN、EM,若AB=5cm,BC=8cm,DE=4cm,则图中阴影
连接MN,作AF垂直BC于F
∵AB=AC
∴BF=CF=1/2BC=1/2×8=4
在Rt△ABF中,AF=根号下(AB平方-BF平方)=根号下(5平方-4平方)=3
∵M、N分别是AB,AC的中点,
∴MN是中位线,即平分三角形的高且MN=8÷2=4
∴MN=DE
∴△MNO≌△EDO,O也是ME,ND中点,∴阴影三角形的高是1.5÷2=0.75
∴S阴影=4×0.75÷2=1.5
打字很累、各位看过的都赞同下、楼主在的话也采纳下、谢谢、

连接MN,作AF⊥BC于F.
∵AB=AC,
∴BF=CF=12BC=12×8=4,
在Rt△ABF中,AF=AB2-BF2=52-42=3,
∵M、N分别是AB,AC的中点,
∴MN是中位线,即平分三角形的高且MN=8÷2=4,
∴NM=12

BC=DE,
∴△MNO≌△EDO,O也是ME,ND的中点,
∴阴影三...

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连接MN,作AF⊥BC于F.
∵AB=AC,
∴BF=CF=12BC=12×8=4,
在Rt△ABF中,AF=AB2-BF2=52-42=3,
∵M、N分别是AB,AC的中点,
∴MN是中位线,即平分三角形的高且MN=8÷2=4,
∴NM=12

BC=DE,
∴△MNO≌△EDO,O也是ME,ND的中点,
∴阴影三角形的高是12AF÷2=1.5÷2=0.75,
∴S阴影=4×0.75÷2=1.5.

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