设向量a,b,c满足|a|=|b|=1,a.=-1/2,<a-c,b-c>=60º,则|c|的最大值等于∵ |a|=|b|=1,a•b=-1/2∴向量 a,b的夹角为120°,设向量 OA=向量a,向量OB=向量b,向量OC=向量c,则 向量CA=向量(a-c); 向量CB=向量 (b-c)
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![设向量a,b,c满足|a|=|b|=1,a.=-1/2,<a-c,b-c>=60º,则|c|的最大值等于∵ |a|=|b|=1,a•b=-1/2∴向量 a,b的夹角为120°,设向量 OA=向量a,向量OB=向量b,向量OC=向量c,则 向量CA=向量(a-c); 向量CB=向量 (b-c)](/uploads/image/z/954647-71-7.jpg?t=%E8%AE%BE%E5%90%91%E9%87%8Fa%2Cb%2Cc%E6%BB%A1%E8%B6%B3%7Ca%7C%3D%7Cb%7C%3D1%2Ca.%3D-1%EF%BC%8F2%2C%EF%BC%9Ca-c%2Cb-c%EF%BC%9E%3D60%26%23186%3B%2C%E5%88%99%7Cc%7C%E7%9A%84%E6%9C%80%E5%A4%A7%E5%80%BC%E7%AD%89%E4%BA%8E%E2%88%B5+%7Ca%7C%3D%7Cb%7C%3D1%2Ca%26%238226%3Bb%3D-1%2F2%E2%88%B4%E5%90%91%E9%87%8F+a%2Cb%E7%9A%84%E5%A4%B9%E8%A7%92%E4%B8%BA120%C2%B0%2C%E8%AE%BE%E5%90%91%E9%87%8F+OA%3D%E5%90%91%E9%87%8Fa%2C%E5%90%91%E9%87%8FOB%3D%E5%90%91%E9%87%8Fb%2C%E5%90%91%E9%87%8FOC%3D%E5%90%91%E9%87%8Fc%2C%E5%88%99+%E5%90%91%E9%87%8FCA%3D%E5%90%91%E9%87%8F%28a-c%29%EF%BC%9B+%E5%90%91%E9%87%8FCB%3D%E5%90%91%E9%87%8F+%28b-c%29)
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