f(x)=2sin(2x+⊓/6)+a+1(a为常数) 当x∈[0,⊓/2]时,f(x)最大值为4,求a的值.
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![f(x)=2sin(2x+⊓/6)+a+1(a为常数) 当x∈[0,⊓/2]时,f(x)最大值为4,求a的值.](/uploads/image/z/8976561-33-1.jpg?t=f%28x%29%3D2sin%282x%EF%BC%8B%26%238851%3B%2F6%29%EF%BC%8Ba%EF%BC%8B1%28a%E4%B8%BA%E5%B8%B8%E6%95%B0%29+%E5%BD%93x%E2%88%88%EF%BC%BB0%2C%26%238851%3B%2F2%EF%BC%BD%E6%97%B6%2Cf%28x%29%E6%9C%80%E5%A4%A7%E5%80%BC%E4%B8%BA4%2C%E6%B1%82a%E7%9A%84%E5%80%BC.)
f(x)=2sin(2x+⊓/6)+a+1(a为常数) 当x∈[0,⊓/2]时,f(x)最大值为4,求a的值.
f(x)=2sin(2x+⊓/6)+a+1(a为常数) 当x∈[0,⊓/2]时,f(x)最大值为4,求a的值.
f(x)=2sin(2x+⊓/6)+a+1(a为常数) 当x∈[0,⊓/2]时,f(x)最大值为4,求a的值.
a=1
2sin(2x+六分之派)在定义域内能取到最大值2
所以f(x)max=2+a+1=4
即a=1