高一数学问题,21题一二问要过程,急,谢谢
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A=1 ,T=4(2π/3-5π/12)=π
W=2π/π=2
f(x)=sin(2x+b)
x=5π/12时,y=0
sin(5π/6+b)=0
b=π/6
f(x)=sin(2x+π/6)
T=π ,f(x)=sin(2x+π/6)
2)f(x)=sin(2x+π/6)=sin2(x+π/12)
g(x)=sin2(x+(π/12-π/6)]=sin(2x-π/6)
g(x)=sin(2x-π/6)
x在[0,π/2]
2x-π/6在[-π/6,5π/6]
sin(2x-π/6)在[-π/6,5π/6]上值域:[-1/2,1]
最大值=1,最小值=-1/2
W=2π/π=2
f(x)=sin(2x+b)
x=5π/12时,y=0
sin(5π/6+b)=0
b=π/6
f(x)=sin(2x+π/6)
T=π ,f(x)=sin(2x+π/6)
2)f(x)=sin(2x+π/6)=sin2(x+π/12)
g(x)=sin2(x+(π/12-π/6)]=sin(2x-π/6)
g(x)=sin(2x-π/6)
x在[0,π/2]
2x-π/6在[-π/6,5π/6]
sin(2x-π/6)在[-π/6,5π/6]上值域:[-1/2,1]
最大值=1,最小值=-1/2
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