内容正文:
坐标与图形的变化
学习目标:
1.经理探索点的平移与点的坐标变化之间的关系的过程,掌握点平移变换后的坐标变化规律。
2.通过探索图形上点的坐标变化与图形变换之间的关系,进一步体会数形结合的数学思想。
重点:
感受图形变换后点的坐标的变化规律
难点:
图形变换与坐标变换之间的关系
问题1 图1中,△AOB沿x轴向右平移3个单位之后,得到△A’O’B’.三个顶点的坐标有什么变化呢?
5
5
A
B
A’
B’
O’
图1
当图形向右平移三个单位时,各点的横坐标分别加3,纵坐标不变.
当图形向上平移时,坐标又有什么变化呢?
A”
B”
O”
如图,已知△ABC的顶点A的坐标为(3,5),将△ABC沿X轴平移4个单位,则顶点A的坐标相应变为( )
B(1,5)
D
A(-1,5)
C(7,5)
D(7,5)或(1,5)
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归纳(一):
图形的平移: (a>0)
(x.y) (x+a,y)
(x.y) (x-a,y)
(x.y) (x,y+a)
(x.y) (x,y-a)
向右平移a个单位
向左平移a个单位
向上平移a个单位
向下平移a个单位
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