1.已知函数y=Asin(ωx+φ)在同一周期内,当x=π(派)/12时,ymax=2,当y=7π/12时,ymin=-2,那么函数的解析式为( ).A.y=2sin(2x+π/3) B.y=2sin(2x-π/6) C.y=2sin(2x+π/6) D.y=2sin(2x-π/3) 2.已知1=sin(2π/3+φ),那么φ=?3.函数y=
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![1.已知函数y=Asin(ωx+φ)在同一周期内,当x=π(派)/12时,ymax=2,当y=7π/12时,ymin=-2,那么函数的解析式为( ).A.y=2sin(2x+π/3) B.y=2sin(2x-π/6) C.y=2sin(2x+π/6) D.y=2sin(2x-π/3) 2.已知1=sin(2π/3+φ),那么φ=?3.函数y=](/uploads/image/z/5474038-22-8.jpg?t=1.%E5%B7%B2%E7%9F%A5%E5%87%BD%E6%95%B0y%3DAsin%28%CF%89x%2B%CF%86%29%E5%9C%A8%E5%90%8C%E4%B8%80%E5%91%A8%E6%9C%9F%E5%86%85%2C%E5%BD%93x%3D%CF%80%28%E6%B4%BE%EF%BC%89%2F12%E6%97%B6%2Cymax%3D2%2C%E5%BD%93y%3D7%CF%80%2F12%E6%97%B6%2Cymin%3D-2%2C%E9%82%A3%E4%B9%88%E5%87%BD%E6%95%B0%E7%9A%84%E8%A7%A3%E6%9E%90%E5%BC%8F%E4%B8%BA%EF%BC%88+%EF%BC%89.A.y%3D2sin%282x%2B%CF%80%2F3%29+B.y%3D2sin%282x-%CF%80%2F6%29+C.y%3D2sin%282x%2B%CF%80%2F6%29+D.y%3D2sin%282x-%CF%80%2F3%29+2.%E5%B7%B2%E7%9F%A51%3Dsin%282%CF%80%2F3%2B%CF%86%29%2C%E9%82%A3%E4%B9%88%CF%86%3D%3F3.%E5%87%BD%E6%95%B0y%3D)
1.已知函数y=Asin(ωx+φ)在同一周期内,当x=π(派)/12时,ymax=2,当y=7π/12时,ymin=-2,那么函数的解析式为( ).A.y=2sin(2x+π/3) B.y=2sin(2x-π/6) C.y=2sin(2x+π/6) D.y=2sin(2x-π/3) 2.已知1=sin(2π/3+φ),那么φ=?3.函数y=
1.已知函数y=Asin(ωx+φ)在同一周期内,当x=π(派)/12时,ymax=2,当y=7π/12时,ymin=-2,那么函数的解析式为( ).
A.y=2sin(2x+π/3) B.y=2sin(2x-π/6) C.y=2sin(2x+π/6) D.y=2sin(2x-π/3)
2.已知1=sin(2π/3+φ),那么φ=?
3.函数y=根号3sin(1/2x-π/4),x=____时,ymax=____,当x=____时,ymix=___.
4.函数y=sin(2x+5π/2)的图像的对称轴方程为______.
5.函数y=sin(2x-π/6)的图像在(-π,π)上有____条对称轴.
1.已知函数y=Asin(ωx+φ)在同一周期内,当x=π(派)/12时,ymax=2,当y=7π/12时,ymin=-2,那么函数的解析式为( ).A.y=2sin(2x+π/3) B.y=2sin(2x-π/6) C.y=2sin(2x+π/6) D.y=2sin(2x-π/3) 2.已知1=sin(2π/3+φ),那么φ=?3.函数y=
1.因为函数在同一周期内,所以最大与最小差半个周期,即0.5*派,所以周期为派,所以w=2,又因为最大与最小值差4,所以a=2,再将x=1/12*派代入2x+φ=π*1/2+2kπ,得φ=2kπ-π*1/3,故选d 2,因为1为sin(ωx+φ)最大值,所以2派/3+φ=2kπ+1/2*π所以φ=2kπ-π/6 3.因为当sin(1/2x-π/4)最大时y最大,此最大为1 ,所以y最大为根号3,1/2x-π/4=2kπ+1/2*π,x=4k派+派/2,因为当sin(1/2x-π/4)最小时y最小,此最小为-1 ,所以y最小为负根号3.1/2x-π/4=2kπ+3/2*π,x=4k派+7派/2 4.2x+5π/2=kπ+1/2*π,x=kπ*1/2-π 5,设2x-π/6=t,则y=sint,对称轴为t=kπ+1/2*π,则2x-π/6=kπ+1/2*π,x=kπ*1/2+π*1/3,k在(-8/3,4/3)上,k=-2,-1,0,1,所以有4条.说明,k为整数.