如图，在平面直角坐标系中，已知△ABC三个顶点的坐标分别是A（2，2），B（4，0），C（4，﹣4）．（Ⅰ）请在图中，画出△ABC向左平移6个单位长度后得到的△A1B1C1；（Ⅱ）以点O为位似中_刷题宝

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如图，在平面直角坐标系中，已知△ABC三个顶点的坐标分别是A（2，2），B（4，0），C（4，﹣4）．

（Ⅰ）请在图中，画出△ABC向左平移6个单位长度后得到的△A₁B₁C₁；

（Ⅱ）以点O为位似中心，将△ABC缩小为原来的

1

2

，得到△A₂B₂C₂，请在图中y轴右侧，画出△A₂B₂C₂，并求出∠A₂C₂B₂的正弦值．

上一题下一题 0.0难度选择题更新时间:2017-11-03 10:29:13

答案(点此获取答案解析）

解：（Ⅰ）如图所示：△A₁B₁C₁，即为所求；

（Ⅱ）如图所示：△A₂B₂C₂，即为所求，

由图形可知，∠A₂C₂B₂=∠ACB，

过点A作AD⊥BC交BC的延长线于点D，

由A（2，2），C（4，﹣4），B（4，0），易得D（4，2），

故AD=2，CD

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