高中数学2道题目。在线等

2025-02-11 00:13:06
推荐回答(5个)
回答1:

1.函数y为周期函数,周期为2pi,在x【0,pi】单调递减,在x【pi,2pi】单调递增,所以y的最大值为3,此时x=2Npi
2.f(x)的周期为2π/w,又因0<w<1,所以f(x)的周期大于2π,即知【0,π/3】在单调周期内,我们知道sinx在前1/4周期递增。即有x=π/3,f(x)最大
2sinw*π/3=√2(0<w<1)
解得w=3/4

回答2:

1.y=(2+cosx)/(2-cosx)
y=-1+4/(2-cosx)
1≥cosx≥-1
3≥2-cosx≥1
1/3≤1/(2-cosx)≤1
(4/3)≤4/(2-cosx)≤4
(1/3)≤-1+4/(2-cosx)≤3
即1/3≤y≤3
所以,y的最大值为3(当cosx=1时)
2.f(x)max=2sinwx=根2 (0(sinwx)max=根2/2

因为sinwx在区间[0,π/3]上是单调递增的
所以(sinx)max=sinπ/3=根3/2
这是x=π/3

sinwx=根2/2
wx=π/4 x=π/3
w=3/4

回答3:

1,y=2+cosx/2-cosx.
y=2-cosx/2,
cosx最大等于1,cosx最小等于-1.
y=2-cosx/2=2-(-1)/2=3/2
2.f(x)=sinwx(0<w<1)在区间【0,π/3】上的最大值是√2/2,
当x=π/3时,f(x)=sinwx=√2/2
w=3/2.

回答4:

第二个题得答案为 3/4
。。。你第一个题抄好着嚒。。

回答5:

对不起,我读初三,不会做

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