已知函数f(x)=-2a sin(2x+π/6)+a+b的定义域为【0,π/2】,值域为【-5,4】,求常数a、b的值.-1/2
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![已知函数f(x)=-2a sin(2x+π/6)+a+b的定义域为【0,π/2】,值域为【-5,4】,求常数a、b的值.-1/2](/uploads/image/z/5905480-40-0.jpg?t=%E5%B7%B2%E7%9F%A5%E5%87%BD%E6%95%B0f%28x%29%3D-2a+sin%282x%2B%CF%80%2F6%29%2Ba%2Bb%E7%9A%84%E5%AE%9A%E4%B9%89%E5%9F%9F%E4%B8%BA%E3%80%900%2C%CF%80%2F2%E3%80%91%2C%E5%80%BC%E5%9F%9F%E4%B8%BA%E3%80%90-5%2C4%E3%80%91%2C%E6%B1%82%E5%B8%B8%E6%95%B0a%E3%80%81b%E7%9A%84%E5%80%BC.-1%2F2)
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已知函数f(x)=-2a sin(2x+π/6)+a+b的定义域为【0,π/2】,值域为【-5,4】,求常数a、b的值.-1/2
已知函数f(x)=-2a sin(2x+π/6)+a+b的定义域为【0,π/2】,值域为【-5,4】,求常数a、b的值.
-1/2
已知函数f(x)=-2a sin(2x+π/6)+a+b的定义域为【0,π/2】,值域为【-5,4】,求常数a、b的值.-1/2
分情况讨论a>0和 a
0
2x+π/6=π/2
sin(2x+π/6)=1
2x+π/6=7π/6
sin(2x+π/6)=-1/2
1)a>0
f(x)max=3a+b=4
f(x)min=-a+b=-5
a=9/4 b=-11/4
2)a<0
f(x)max=-a+b=4
f(x)min=3a+b=-5
a=-9/4 b=7/4
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