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苏教版高中数学必修2教材2012年6月第4版第90页中“两条直线垂直(斜率均存在)时相应斜率乘积为-1”的证明方法通过构造三角形,利用三角形相似得出斜率之间关系.本方法回归斜率定义,锻炼学生作图能力,培养学生创造性思维.但是学生在预习后普遍感觉不太好理解,于是我利用合作学习,让学生以小组为单位探究其他证明方法.学生通过探究,发现很多证明方法.而且这些方法都来源于学过的知识.证明方法如下:
Jiangsu Education High School Mathematics Compulsory 2 Textbook June 2012 4th Edition Page 90 Medium ” Proof method for the slope product of -1 where the two lines are vertical (the slopes are all present) By constructing a triangle, using a triangle similar to The relationship between the slopes. This method returns to the definition of slope, exercises students’ drawing ability, and cultivates students’ creative thinking. But students generally do not understand well after the preview, so I use cooperative learning to allow students to explore other proofs in small groups. Methods. Through inquiry, students found a lot of proof methods. And these methods all come from learned knowledge. The proof methods are as follows: