求使下列函数取得最大值,最小值的自变量x的集合,并写出最大值和最小值是什么 y=1-(1/2)cos(π/3)x x属于R y=3sin[2x+(π/4)] x属于R y=(-3/2)cos[(1/2x)-(π/6)] x属于R y=(1/2)sin[(1/2)x+(π/3)] x属于R
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![求使下列函数取得最大值,最小值的自变量x的集合,并写出最大值和最小值是什么 y=1-(1/2)cos(π/3)x x属于R y=3sin[2x+(π/4)] x属于R y=(-3/2)cos[(1/2x)-(π/6)] x属于R y=(1/2)sin[(1/2)x+(π/3)] x属于R](/uploads/image/z/1169632-64-2.jpg?t=%E6%B1%82%E4%BD%BF%E4%B8%8B%E5%88%97%E5%87%BD%E6%95%B0%E5%8F%96%E5%BE%97%E6%9C%80%E5%A4%A7%E5%80%BC%2C%E6%9C%80%E5%B0%8F%E5%80%BC%E7%9A%84%E8%87%AA%E5%8F%98%E9%87%8Fx%E7%9A%84%E9%9B%86%E5%90%88%2C%E5%B9%B6%E5%86%99%E5%87%BA%E6%9C%80%E5%A4%A7%E5%80%BC%E5%92%8C%E6%9C%80%E5%B0%8F%E5%80%BC%E6%98%AF%E4%BB%80%E4%B9%88+y%3D1-%281%2F2%29cos%28%CF%80%2F3%29x+x%E5%B1%9E%E4%BA%8ER+y%3D3sin%5B2x%2B%EF%BC%88%CF%80%2F4%29%5D+x%E5%B1%9E%E4%BA%8ER+y%3D%28-3%2F2%29cos%5B%281%2F2x%29-%28%CF%80%2F6%29%5D+x%E5%B1%9E%E4%BA%8ER+y%3D%281%2F2%29sin%5B%281%2F2%29x%2B%28%CF%80%2F3%29%5D+x%E5%B1%9E%E4%BA%8ER)
求使下列函数取得最大值,最小值的自变量x的集合,并写出最大值和最小值是什么 y=1-(1/2)cos(π/3)x x属于R y=3sin[2x+(π/4)] x属于R y=(-3/2)cos[(1/2x)-(π/6)] x属于R y=(1/2)sin[(1/2)x+(π/3)] x属于R
求使下列函数取得最大值,最小值的自变量x的集合,并写出最大值和最小值是什么
y=1-(1/2)cos(π/3)x x属于R
y=3sin[2x+(π/4)] x属于R
y=(-3/2)cos[(1/2x)-(π/6)] x属于R
y=(1/2)sin[(1/2)x+(π/3)] x属于R
求使下列函数取得最大值,最小值的自变量x的集合,并写出最大值和最小值是什么 y=1-(1/2)cos(π/3)x x属于R y=3sin[2x+(π/4)] x属于R y=(-3/2)cos[(1/2x)-(π/6)] x属于R y=(1/2)sin[(1/2)x+(π/3)] x属于R
1、cos(π/3)x=1时最小值1/2
(π/3)x=2kπ ,x=6k (k∈Z)
cos(π/3)x=-1时最大值3/2
(π/3)x=2kπ+π ,x=3(2k+1) (k∈Z)
2、sin[2x+(π/4)] x=-1时最小值-3
[2x+(π/4)] x=2kπ-π/2,x=kπ-3/8×π (k∈Z)
3sin[2x+(π/4)] x=1时最大值3
[2x+(π/4)] x=2kπ+π/2,x=kπ+π /8 (k∈Z)
3、cos[(1/2x)-(π/6)] =1时最小值-3/2
(1/2x)-(π/6)=2kπ,x=4kπ+π/3 (k∈Z)
cos[(1/2x)-(π/6)] =-1时最大值3/2
(1/2x)-(π/6)=2kπ+π,x=4kπ+7/3×π (k∈Z)
4、sin[(1/2)x+(π/3)] =-1时最小值-1/2
(1/2)x+(π/3)=2kπ-π/2,x=4kπ-3/5×π (k∈Z)
sin[(1/2)x+(π/3)] =1时最大值1/2
(1/2)x+(π/3)=2kπ+π/2,x=4kπ+π/3 (k∈Z)