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一、找错对应角、对应边例1如图1,已知△ABC≌△DFE,请写出图中的对应边和对应角.错解:AB和DE,AC和DF,BC和EF是对应边;∠A和∠D,∠B和∠E,∠C和∠F是对应角.剖析:不能以三角形的摆放位置来判断三角形的对应边和对应角.对于全等三角形的对应部分,一定要注意审题和观察图形.正解:AB与DF,AC与DE,BC与FE是对应边:∠A和∠D,∠B和∠F,∠C和∠E是对应角.例2如图2,在△ABC中,∠A=32°,∠B=80°,AB=5 cm.又在△DEF中,∠D=32°,∠E=80°,DF=5 cm.
First, find the corresponding angle of the corresponding corner, the corresponding edge case 1 As shown in Figure 1, known △ ABC ≌ △ DFE, please write the corresponding edge and corresponding angle in the figure. Misinterpretation: AB and DE, AC and DF, BC and EF Corresponding edge; ∠A and ∠D, ∠B and ∠E, ∠C and ∠F is the corresponding angle.Analysis: can not be placed in the triangle to determine the corresponding edge of the triangle and the corresponding angle.For the congruent triangle corresponding part , We must pay attention to examining and observing graphics. Positive solutions: AB and DF, AC and DE, BC and FE are the corresponding edges: ∠A and ∠D, ∠B and ∠F, ∠C and ∠E are the corresponding angles .Example 2 Figure 2, △ ABC, ∠A = 32 °, ∠B = 80 °, AB = 5 cm. And in △ DEF, ∠D = 32 °, ∠E = 80 °, DF = 5 cm.