y=2sin(x+ π /4)cos(x-π /4)和直线在y=1/2在Y轴右侧的交点横坐标从小到大依次记为P1,P2,P3...,则|P2P4|
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![y=2sin(x+ π /4)cos(x-π /4)和直线在y=1/2在Y轴右侧的交点横坐标从小到大依次记为P1,P2,P3...,则|P2P4|](/uploads/image/z/9953678-38-8.jpg?t=y%3D2sin%28x%2B+%CF%80+%2F4%29cos%28x-%CF%80+%2F4%29%E5%92%8C%E7%9B%B4%E7%BA%BF%E5%9C%A8y%3D1%2F2%E5%9C%A8Y%E8%BD%B4%E5%8F%B3%E4%BE%A7%E7%9A%84%E4%BA%A4%E7%82%B9%E6%A8%AA%E5%9D%90%E6%A0%87%E4%BB%8E%E5%B0%8F%E5%88%B0%E5%A4%A7%E4%BE%9D%E6%AC%A1%E8%AE%B0%E4%B8%BAP1%2CP2%2CP3...%2C%E5%88%99%7CP2P4%7C)
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y=2sin(x+ π /4)cos(x-π /4)和直线在y=1/2在Y轴右侧的交点横坐标从小到大依次记为P1,P2,P3...,则|P2P4|
y=2sin(x+ π /4)cos(x-π /4)和直线在y=1/2在Y轴右侧的交点横坐标从小到大依次记为P1,P2,P3...,则|P2P4|
y=2sin(x+ π /4)cos(x-π /4)和直线在y=1/2在Y轴右侧的交点横坐标从小到大依次记为P1,P2,P3...,则|P2P4|
也就是sin2x=-1/2
∴2x=2kπ-π/6或2x=2kπ-5π/6
即x=kπ-π/12或x=kπ-5π/12
令k=1,则x=11π/12或x=7π/12
令k=2,则x=23π/12或x=19π/12
∴p1=7π/12,p2=11π/12,p3=19π/12,p4=23π/12
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