“探索三角形全等的条件”是新苏教版八年级上册的教学内容.一、创设情境,发现问题【课件展示图形及问题】直角三角形可以用符号“Rt△”表示.如图1,在△ABC和△A′B′C′中,∠C=∠C′=90°,判定这两个直角三角形全等,至少还需要几个条件?生A:可以加条件∠A=∠A′,AC=A′C′,依据是“ASA”.生B:可以加条件∠A=∠A′,AB=A′B′,依据是“AAS”.生C:可以加条件BC=B′C′,AC=A′C′,依据是“SAS”. “Triangle conditions of exploration ” is a new version of the eighth grade of the Soviet version of the teaching content.First, the creation of the situation and found the problem [graphics and display courseware] Right-angled triangle can be symbol “Rt △ ” said Figure 1, △ ABC and △ A’B’C ’, ∠C = ∠C’ = 90 °, determine the two right triangles congruent, at least several conditions are required? Health A: can be added ∠ A = ∠A ’, AC = A’C’, based on “ASA”. B: You can add conditional ∠A = ∠A ’, AB = A’B’, based on “AAS” : Can be conditional BC = B’C ’, AC = A’C’, based on “SAS”.