已知梯形ABCD,AD平行BC,AB⊥BC,AD=1,AB=2,BC=3.(1)若P为AB边上任意一点,延长PD到E,使DE=PD,再以PE、PC为边作平行四边形PCQE,请探究对角线PQ的长是否存在最小值?如果存在,求出最小值,如果不存在,说明
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![已知梯形ABCD,AD平行BC,AB⊥BC,AD=1,AB=2,BC=3.(1)若P为AB边上任意一点,延长PD到E,使DE=PD,再以PE、PC为边作平行四边形PCQE,请探究对角线PQ的长是否存在最小值?如果存在,求出最小值,如果不存在,说明](/uploads/image/z/4014387-27-7.jpg?t=%E5%B7%B2%E7%9F%A5%E6%A2%AF%E5%BD%A2ABCD%2CAD%E5%B9%B3%E8%A1%8CBC%2CAB%E2%8A%A5BC%2CAD%3D1%2CAB%3D2%2CBC%3D3.%EF%BC%881%EF%BC%89%E8%8B%A5P%E4%B8%BAAB%E8%BE%B9%E4%B8%8A%E4%BB%BB%E6%84%8F%E4%B8%80%E7%82%B9%2C%E5%BB%B6%E9%95%BFPD%E5%88%B0E%2C%E4%BD%BFDE%3DPD%2C%E5%86%8D%E4%BB%A5PE%E3%80%81PC%E4%B8%BA%E8%BE%B9%E4%BD%9C%E5%B9%B3%E8%A1%8C%E5%9B%9B%E8%BE%B9%E5%BD%A2PCQE%2C%E8%AF%B7%E6%8E%A2%E7%A9%B6%E5%AF%B9%E8%A7%92%E7%BA%BFPQ%E7%9A%84%E9%95%BF%E6%98%AF%E5%90%A6%E5%AD%98%E5%9C%A8%E6%9C%80%E5%B0%8F%E5%80%BC%3F%E5%A6%82%E6%9E%9C%E5%AD%98%E5%9C%A8%2C%E6%B1%82%E5%87%BA%E6%9C%80%E5%B0%8F%E5%80%BC%2C%E5%A6%82%E6%9E%9C%E4%B8%8D%E5%AD%98%E5%9C%A8%2C%E8%AF%B4%E6%98%8E)
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