三角函数不等式1)已知x+y+z=∏/2,x,y,z>0,求证:8(cosx·cosy·cosz)²≥27sinx·siny·sinz2)已知A+B+C=∏,A,B,C>0,试确定1/sin(A/2)+1/sin(B/2)+1/sin(C/2)与(1/sinA+1/sinB+1/sinC)(sinA+sinB+sinC)·2/3的大小关系,并证明.1)已知x
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![三角函数不等式1)已知x+y+z=∏/2,x,y,z>0,求证:8(cosx·cosy·cosz)²≥27sinx·siny·sinz2)已知A+B+C=∏,A,B,C>0,试确定1/sin(A/2)+1/sin(B/2)+1/sin(C/2)与(1/sinA+1/sinB+1/sinC)(sinA+sinB+sinC)·2/3的大小关系,并证明.1)已知x](/uploads/image/z/5502790-46-0.jpg?t=%E4%B8%89%E8%A7%92%E5%87%BD%E6%95%B0%E4%B8%8D%E7%AD%89%E5%BC%8F1%29%E5%B7%B2%E7%9F%A5x%2By%2Bz%3D%E2%88%8F%2F2%2Cx%2Cy%2Cz%3E0%2C%E6%B1%82%E8%AF%81%3A8%28cosx%C2%B7cosy%C2%B7cosz%29%26sup2%3B%E2%89%A527sinx%C2%B7siny%C2%B7sinz2%29%E5%B7%B2%E7%9F%A5A%2BB%2BC%3D%E2%88%8F%2CA%2CB%2CC%3E0%2C%E8%AF%95%E7%A1%AE%E5%AE%9A1%2Fsin%28A%2F2%29%2B1%2Fsin%28B%2F2%29%2B1%2Fsin%28C%2F2%29%E4%B8%8E%281%2FsinA%2B1%2FsinB%2B1%2FsinC%29%28sinA%2BsinB%2BsinC%29%C2%B72%2F3%E7%9A%84%E5%A4%A7%E5%B0%8F%E5%85%B3%E7%B3%BB%2C%E5%B9%B6%E8%AF%81%E6%98%8E.1%29%E5%B7%B2%E7%9F%A5x)
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