、在直角三角形ABC中,已知BC=a,∠A 是直角.若长为2a的线段PQ以点A为中点,向量PQ与向量BC的夹角θ取何值时,向量BP·向量CQ 的值最大?并求出这个最大值.
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![、在直角三角形ABC中,已知BC=a,∠A 是直角.若长为2a的线段PQ以点A为中点,向量PQ与向量BC的夹角θ取何值时,向量BP·向量CQ 的值最大?并求出这个最大值.](/uploads/image/z/5269667-59-7.jpg?t=%E3%80%81%E5%9C%A8%E7%9B%B4%E8%A7%92%E4%B8%89%E8%A7%92%E5%BD%A2ABC%E4%B8%AD%2C%E5%B7%B2%E7%9F%A5BC%3Da%2C%E2%88%A0A+%E6%98%AF%E7%9B%B4%E8%A7%92.%E8%8B%A5%E9%95%BF%E4%B8%BA2a%E7%9A%84%E7%BA%BF%E6%AE%B5PQ%E4%BB%A5%E7%82%B9A%E4%B8%BA%E4%B8%AD%E7%82%B9%2C%E5%90%91%E9%87%8FPQ%E4%B8%8E%E5%90%91%E9%87%8FBC%E7%9A%84%E5%A4%B9%E8%A7%92%CE%B8%E5%8F%96%E4%BD%95%E5%80%BC%E6%97%B6%2C%E5%90%91%E9%87%8FBP%C2%B7%E5%90%91%E9%87%8FCQ+%E7%9A%84%E5%80%BC%E6%9C%80%E5%A4%A7%3F%E5%B9%B6%E6%B1%82%E5%87%BA%E8%BF%99%E4%B8%AA%E6%9C%80%E5%A4%A7%E5%80%BC.)
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