求下列函数最小正周期,递增区间及最大值 (1)y=sin2xcos2x (2)y=2cosx/2求下列函数最小正周期,递增区间及最大值(1)y=sin2xcos2x(2)y=2cosx/2+1(3)y=√3cos4x+sin4x
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![求下列函数最小正周期,递增区间及最大值 (1)y=sin2xcos2x (2)y=2cosx/2求下列函数最小正周期,递增区间及最大值(1)y=sin2xcos2x(2)y=2cosx/2+1(3)y=√3cos4x+sin4x](/uploads/image/z/13200177-57-7.jpg?t=%E6%B1%82%E4%B8%8B%E5%88%97%E5%87%BD%E6%95%B0%E6%9C%80%E5%B0%8F%E6%AD%A3%E5%91%A8%E6%9C%9F%2C%E9%80%92%E5%A2%9E%E5%8C%BA%E9%97%B4%E5%8F%8A%E6%9C%80%E5%A4%A7%E5%80%BC+%EF%BC%881%EF%BC%89y%3Dsin2xcos2x+%EF%BC%882%EF%BC%89y%3D2cosx%2F2%E6%B1%82%E4%B8%8B%E5%88%97%E5%87%BD%E6%95%B0%E6%9C%80%E5%B0%8F%E6%AD%A3%E5%91%A8%E6%9C%9F%2C%E9%80%92%E5%A2%9E%E5%8C%BA%E9%97%B4%E5%8F%8A%E6%9C%80%E5%A4%A7%E5%80%BC%EF%BC%881%EF%BC%89y%3Dsin2xcos2x%EF%BC%882%EF%BC%89y%3D2cosx%2F2%2B1%EF%BC%883%EF%BC%89y%3D%E2%88%9A3cos4x%2Bsin4x)
求下列函数最小正周期,递增区间及最大值 (1)y=sin2xcos2x (2)y=2cosx/2求下列函数最小正周期,递增区间及最大值(1)y=sin2xcos2x(2)y=2cosx/2+1(3)y=√3cos4x+sin4x
求下列函数最小正周期,递增区间及最大值 (1)y=sin2xcos2x (2)y=2cosx/2
求下列函数最小正周期,递增区间及最大值
(1)y=sin2xcos2x
(2)y=2cosx/2+1
(3)y=√3cos4x+sin4x
求下列函数最小正周期,递增区间及最大值 (1)y=sin2xcos2x (2)y=2cosx/2求下列函数最小正周期,递增区间及最大值(1)y=sin2xcos2x(2)y=2cosx/2+1(3)y=√3cos4x+sin4x
y = 2 sin2x cos2x
y = sin4x
T = 2π/4 = π/2
ymin = -1 at 4x = 2kπ - π/2
ymax = 1 at 4x = 2kπ + π/2
递增区间[kπ/2 - π/8,kπ/2 + π/8],k∈Z
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y = 2 cos²(x/2) + 1
y = 1 + cosx + 1
y = cosx + 2
T = 2π
ymin = 2 - 1 = 1 at x = 2kπ - π
ymax = 2 + 1 = 3 at x = 2kπ
递增区间[2kπ - π,2kπ],k∈Z
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y = sin4x + √3 cos4x
y = 2 sin(4x + π/3)
T = 2π/4 = π/2
ymin = -2 at 4x + π/3 = 2kπ - π/2,x = kπ/2 - 5π/24
ymax = 2 at 4x + π/3 = 2kπ + π/2,x = kπ/2 + π/24
递增区间[kπ/2 - 5π/24,kπ/2 + π/24],k∈Z
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