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1、*1图形的平移第2课时平移与坐标变化123456780–1–2–3–4–512349105在直角坐标系中描出以下各点:(0,0)(5,4)(3,0)(5,1)(5,-1)(3,0)(4,-2)(0,0)并用线段依次连接,看一看是什么图案.yx情景引入图中的鱼是将坐标为:(0,0)(5,4)(3,0)(5,1)(5,-1)(3,0)(4,-2)(0,0)的点用线段依次连接而成的纵坐标保持不变,将各坐标的横坐标加2又会怎样?则坐标变化为:(x,y)(0,0)(5,4)(3,0)(5,1)(5,-1)(3,0)(4,-2)(0
2、,0)(x+2,y)(2,0)(7,4)(5,0)(7,1)(7,-1)(5,0)(6,-2)(2,0)合作探究123456780–1–2–3–4–512349105yx原图形被向右平移2个单位图中的鱼是将坐标为:(0,0)(5,4)(3,0)(5,1)(5,-1)(3,0)(4,-2)(0,0)的点用线段依次连接而成的则坐标变化为:纵坐标保持不变,将各坐标的横坐标减2,图案会变成什么样?(x,y)(0,0)(5,4)(3,0)(5,1)(5,-1)(3,0)(4,-2)(0,0)(x-2,y)(-2,0)(3,4)(1
3、,0)(3,1)(3,-1)(1,0)(2,-2)(-2,0)123456780–1–2–3–4–512349105yx-1-2原图形被向左平移2个单位一个图形沿x轴方向平移a(a>0)个单位长度:(x,y)(x+a,y)向右平移a个单位向左平移a个单位(x-a,y)图中的鱼是将坐标为:(0,0)(5,4)(3,0)(5,1)(5,-1)(3,0)(4,-2)(0,0)的点用线段依次连接而成的将各坐标的纵坐标都加2,则原图型变为什样?123456780–1–2–3–4–512349105yx猜一猜123456780–1–
4、2–3–4–512345yx原图形被向上平移2个单位123456780–1–2–3–4–512345图中的鱼是将坐标为:(0,0)(5,4)(3,0)(5,1)(5,-1)(3,0)(4,-2)(0,0)的点用线段依次连接而成的横坐标保持不变,将各坐标的纵坐标都减1,则原图型变为什么样?yx猜一猜原图形被向下平移1个单位一个图形沿y轴方向平移a(a>0)个单位长度:(x,y)(x,y+a)向上平移a个单位向下平移a个单位(x,y-a)考考大家1.在平面直角坐标系中,将点P(3,2)向右平移两个单位,所得的点的坐标是()A
5、.(1,2)B.(3,0)C.(3,4)D.(5,2)D2.已知∆ABC的三个顶点的坐标为A(-1,4),B(2,-2)C(5,1),将∆ABC的各点的横坐标都加3,纵坐标不变,则()A.∆ABC的形状和大小不变,只是向左方平移了3个单位长度。B.∆ABC的形状和大小不变,只是向右方平移了3个单位长度。C.∆ABC的形状不变,但比原来扩大了。D.∆ABC的形状和大小都发生了变化。B1、一个图形沿x轴方向平移A(a>0)个单位长度:(x,y)(x+a,y)2、一个图形沿y轴方向平移a(a>0)个单位长度:向右平移a个单位向
6、左平移a个单位(x-a,y)(x,y)(x,y+a)向上平移a个单位向下平移a个单位(x,y-a)课堂小结