生活中的平移版本3.ppt
殷剑炜,生活中的平移,| we did professional work,平移定义,平移性质,课堂练习,平移,你发现了什么?,| we did professional work,平移定义,平移性质,课堂练习,滑 梯,| we did professional work,平移定义,平移性质,课堂练习,大厦里的电梯,| we did professional work,平移定义,平移性质,课堂练习,推拉窗,| we did professional work,平移定义,平移性质,课堂练习,平移实例,Services,平移,在平面内,将一个图形沿某个方向移动一定的距离,这样的图形运动称为平移。,平移的两个要素: 方向; 距离。,| we did professional work,平移定义,课堂练习,平移实例,Services,Services,A,B,C,D,| we did professional work,平移定义,课堂练习,平移实例,Services,我们发现: (1)四边形ABCD与四边形EFGH全等;,(2)线段AE、DH、CG、BF 平行且相等。,| we did professional work,平移定义,课堂练习,平移实例,Services,图形平移的性质:,1. 不改变图形的形状、大小,改变的只是图形的位置。平移前后的两个图形全等。,2. 平移前后两个图形的对应点的连线平行且相等。对应线段平行且相等,对应角相等。,| we did professional work,平移定义,平移性质,课堂练习,平移实例,Services,A B C D E,下列5幅图中,哪些图可以通过平移A得到?,A B C D E,| we did professional work,平移定义,平移性质,课堂练习,平移实例,Services,在图形平移中,下面说法中错误的是 ( ). A. 图形上每一点移动的方向相同 B. 图形上每一点移动的距离相等 C. 图形上每对对应点的连线长度相等 D. 图形上可能存在不动点,D,| we did professional work,平移定义,平移性质,课堂练习,平移实例,Services,如图,在正方格纸上将ABC先向右平移6格,再向上平移2格,得到平移后的DEF,连接平移前后的对应点,找出图中几组平行且相等的线段、几组相等的角和一组全等三角形,并说明理由。,| we did professional work,平移定义,平移性质,课堂练习,平移实例,Services,| we did professional work,平移定义,平移性质,课堂练习,平移实例,Services,(1)4组线段AB和DE、BC和EF、AC和DF 以及线段AD、BE和CF,分别平行且相等 (2)3对角对应相等:A= D、B= E、C= F (3)ABC DEF,| we did professional work,平移定义,平移性质,课堂练习,平移实例,Services,练习 将图中小船向左平移4格。,NO.1,NO.2,NO.3,| we did professional work,平移定义,平移性质,课堂练习,平移实例,Services,练习 将图中小船向左平移4格。,NO.1,NO.2,NO.3,| we did professional work,平移定义,平移性质,课堂练习,平移实例,Services,练习 将图中小船向左平移4格。,NO.1,NO.2,NO.3,| we did professional work,平移定义,平移性质,课堂练习,平移实例,Services,思考 邻居陈大伯在自家的后院围了一块长方形地,长30米,宽25米,如图,准备种菜,为行走方便,修了两条互相垂直的小路,各宽1米,你能帮助他计算种植蔬菜的面积吗?,NO.1,NO.2,| we did professional work,平移定义,平移性质,课堂练习,平移实例,Services,(30-1)米,(25-1)米,S=(30-1)*(25-1) =696(平方米),方案一:,NO.1,NO.2,| we did professional work,平移定义,平移性质,课堂练习,平移实例,Services,(30-1)米,(25-1)米,S=(30-1)*(25-1) =696(平方米),方案二:,NO.1,NO.2,| we did professional work,平移定义,平移性质,课堂练习,平移实例,Services,思考:,(a-x)米,(b-y)米,b米,a米,S=(a-x)*(b-y),| we did professional work,平移定义,平移性质,课堂练习,平移实例,思考:如图是一块长方形的草地, 长为21米.宽为15米 在草地上有一条宽为1米的小道,长方形的草地上除小道外长满青草。求长草部分的面积为多少?,| we did professional work,平移定义,平移性质,课堂练习,平移实例,今天我学到了,| we did professional work,平移定义,平移性质,课堂练习,平移实例,作,业,谢 谢!,Qiying,