已知:A(1,0),B(0,1),C(cosa,sina),D(cosβ,sinβ)是单位圆上的四个点,O 为原点a=π/12或5π/12 若|向量AC|^2+|向量BD|^2=6,|向量AD|^2+|向量BC|^2=3,求sin(a+β)的值
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![已知:A(1,0),B(0,1),C(cosa,sina),D(cosβ,sinβ)是单位圆上的四个点,O 为原点a=π/12或5π/12 若|向量AC|^2+|向量BD|^2=6,|向量AD|^2+|向量BC|^2=3,求sin(a+β)的值](/uploads/image/z/8444619-27-9.jpg?t=%E5%B7%B2%E7%9F%A5%EF%BC%9AA%281%2C0%29%2CB%280%2C1%29%2CC%28cosa%2Csina%29%2CD%28cos%CE%B2%2Csin%CE%B2%29%E6%98%AF%E5%8D%95%E4%BD%8D%E5%9C%86%E4%B8%8A%E7%9A%84%E5%9B%9B%E4%B8%AA%E7%82%B9%2CO+%E4%B8%BA%E5%8E%9F%E7%82%B9a%3D%CF%80%2F12%E6%88%965%CF%80%2F12+%E8%8B%A5%7C%E5%90%91%E9%87%8FAC%7C%5E2%2B%7C%E5%90%91%E9%87%8FBD%7C%5E2%3D6%2C%7C%E5%90%91%E9%87%8FAD%7C%5E2%2B%7C%E5%90%91%E9%87%8FBC%7C%5E2%3D3%2C%E6%B1%82sin%28a%2B%CE%B2%29%E7%9A%84%E5%80%BC)
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