已知f(x)=asinx+bcosx,定积分(0到π/2)f(x)dx=4,定积分(0到π/6)f(x)dx=(7-3根号3已知f(x)=asinx+bcosx,定积分(0到π/2)f(x)dx=4,定积分(0到π/6)f(x)dx=(7-3根号3)/2,求f(x)的最值
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![已知f(x)=asinx+bcosx,定积分(0到π/2)f(x)dx=4,定积分(0到π/6)f(x)dx=(7-3根号3已知f(x)=asinx+bcosx,定积分(0到π/2)f(x)dx=4,定积分(0到π/6)f(x)dx=(7-3根号3)/2,求f(x)的最值](/uploads/image/z/10532777-41-7.jpg?t=%E5%B7%B2%E7%9F%A5f%28x%29%3Dasinx%2Bbcosx%2C%E5%AE%9A%E7%A7%AF%E5%88%86%280%E5%88%B0%CF%80%2F2%29f%28x%29dx%3D4%2C%E5%AE%9A%E7%A7%AF%E5%88%86%280%E5%88%B0%CF%80%2F6%29f%28x%29dx%3D%287-3%E6%A0%B9%E5%8F%B73%E5%B7%B2%E7%9F%A5f%28x%29%3Dasinx%2Bbcosx%2C%E5%AE%9A%E7%A7%AF%E5%88%86%EF%BC%880%E5%88%B0%CF%80%2F2%29f%28x%29dx%3D4%2C%E5%AE%9A%E7%A7%AF%E5%88%86%EF%BC%880%E5%88%B0%CF%80%2F6%EF%BC%89f%28x%29dx%3D%287-3%E6%A0%B9%E5%8F%B73%EF%BC%89%2F2%2C%E6%B1%82f%28x%29%E7%9A%84%E6%9C%80%E5%80%BC)
已知f(x)=asinx+bcosx,定积分(0到π/2)f(x)dx=4,定积分(0到π/6)f(x)dx=(7-3根号3已知f(x)=asinx+bcosx,定积分(0到π/2)f(x)dx=4,定积分(0到π/6)f(x)dx=(7-3根号3)/2,求f(x)的最值
已知f(x)=asinx+bcosx,定积分(0到π/2)f(x)dx=4,定积分(0到π/6)f(x)dx=(7-3根号3
已知f(x)=asinx+bcosx,定积分(0到π/2)f(x)dx=4,定积分(0到π/6)f(x)dx=(7-3根号3)/2,求f(x)的最值
已知f(x)=asinx+bcosx,定积分(0到π/2)f(x)dx=4,定积分(0到π/6)f(x)dx=(7-3根号3已知f(x)=asinx+bcosx,定积分(0到π/2)f(x)dx=4,定积分(0到π/6)f(x)dx=(7-3根号3)/2,求f(x)的最值
f(x) = asinx + bcosx
∫(0→π/2) f(x) dx = 4
(- acosx + bsinx)|(0→π/2) = 4
b + a = 4
∫(0→π/6) f(x) dx = (7 - 3√3)/2
(- acosx + bsinx)|(0→π/6) = (7 - 3√3)/2
- a * √3/2 + b * 1/2 + ...
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f(x) = asinx + bcosx
∫(0→π/2) f(x) dx = 4
(- acosx + bsinx)|(0→π/2) = 4
b + a = 4
∫(0→π/6) f(x) dx = (7 - 3√3)/2
(- acosx + bsinx)|(0→π/6) = (7 - 3√3)/2
- a * √3/2 + b * 1/2 + a = (7 - 3√3)/2
(2 - √3)a + b = 7 - 3√3
解方程得a = 3,b = 1
f(x)最大值 = √(3² + 1) = √10
f(x)最小值 = - √10
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