如图11-15,已知梯形ABCD,AD//BC,AF交CD于E,交BC的延长线于F.(1)若∠B+∠DCF=180°,求证:四边形ABCD是等腰梯形; (2)若E是线段CD的中点,且CF:CB=1:3,AD=6,求梯形ABCD中位线的长.
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![如图11-15,已知梯形ABCD,AD//BC,AF交CD于E,交BC的延长线于F.(1)若∠B+∠DCF=180°,求证:四边形ABCD是等腰梯形; (2)若E是线段CD的中点,且CF:CB=1:3,AD=6,求梯形ABCD中位线的长.](/uploads/image/z/4538018-2-8.jpg?t=%E5%A6%82%E5%9B%BE11-15%2C%E5%B7%B2%E7%9F%A5%E6%A2%AF%E5%BD%A2ABCD%2CAD%2F%2FBC%2CAF%E4%BA%A4CD%E4%BA%8EE%2C%E4%BA%A4BC%E7%9A%84%E5%BB%B6%E9%95%BF%E7%BA%BF%E4%BA%8EF.%EF%BC%881%EF%BC%89%E8%8B%A5%E2%88%A0B%2B%E2%88%A0DCF%3D180%C2%B0%2C%E6%B1%82%E8%AF%81%3A%E5%9B%9B%E8%BE%B9%E5%BD%A2ABCD%E6%98%AF%E7%AD%89%E8%85%B0%E6%A2%AF%E5%BD%A2%EF%BC%9B+%EF%BC%882%EF%BC%89%E8%8B%A5E%E6%98%AF%E7%BA%BF%E6%AE%B5CD%E7%9A%84%E4%B8%AD%E7%82%B9%2C%E4%B8%94CF%3ACB%3D1%3A3%2CAD%3D6%2C%E6%B1%82%E6%A2%AF%E5%BD%A2ABCD%E4%B8%AD%E4%BD%8D%E7%BA%BF%E7%9A%84%E9%95%BF.)
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