![](http://static.xuejinqu.com/qimg/45f/45f72de8e1380a7bd377d28f64eaed2c.png)
![](http://static.xuejinqu.com/qimg/e5a/e5ae31831297bede32183670acacf399.png)
![](http://static.xuejinqu.com/qimg/725/7255839342c5050dcf3ba1093da8ac7d.png)
(Ⅰ)证明:
![](http://static.xuejinqu.com/qimg/763/763627bf15e22a8b9f73db0cf9aa5e5b.png)
![](http://static.xuejinqu.com/qimg/725/7255839342c5050dcf3ba1093da8ac7d.png)
(Ⅱ)若
![](http://static.xuejinqu.com/qimg/a09/a09110c453070937b4fe4d39a400ae7f.png)
![](http://static.xuejinqu.com/qimg/725/7255839342c5050dcf3ba1093da8ac7d.png)
![](http://static.xuejinqu.com/qimg/d98/d989614b338e61cc70207fc389d07843.png)
![](http://static.xuejinqu.com/qimg/725/7255839342c5050dcf3ba1093da8ac7d.png)
![](http://static.xuejinqu.com/images/y-prise.png)
同类型试题
![](http://static.xuejinqu.com/images/medal.png)
y = sin x, x∈R, y∈[–1,1],周期为2π,函数图像以 x = (π/2) + kπ 为对称轴
y = arcsin x, x∈[–1,1], y∈[–π/2,π/2]
sin x = 0 ←→ arcsin x = 0
sin x = 1/2 ←→ arcsin x = π/6
sin x = √2/2 ←→ arcsin x = π/4
sin x = 1 ←→ arcsin x = π/2
![](http://static.xuejinqu.com/images/avatar.png)
![](http://static.xuejinqu.com/images/avatar.png)
y = sin x, x∈R, y∈[–1,1],周期为2π,函数图像以 x = (π/2) + kπ 为对称轴
y = arcsin x, x∈[–1,1], y∈[–π/2,π/2]
sin x = 0 ←→ arcsin x = 0
sin x = 1/2 ←→ arcsin x = π/6
sin x = √2/2 ←→ arcsin x = π/4
sin x = 1 ←→ arcsin x = π/2
![](http://static.xuejinqu.com/images/avatar.png)
![](http://static.xuejinqu.com/images/avatar.png)