凸四边形有两条对角线,凸五边形有5条对角线,凸六边形有9条对角线…由此猜想凸n边形有几条对角线?设条数为an,则a4=2,a5=5,a6=9……有a5-a4=3,a6-a5=4,……猜想:an-an-1=n-2∴an=2+3+4+5+…+(n-2)=n/2(n
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![凸四边形有两条对角线,凸五边形有5条对角线,凸六边形有9条对角线…由此猜想凸n边形有几条对角线?设条数为an,则a4=2,a5=5,a6=9……有a5-a4=3,a6-a5=4,……猜想:an-an-1=n-2∴an=2+3+4+5+…+(n-2)=n/2(n](/uploads/image/z/5548446-54-6.jpg?t=%E5%87%B8%E5%9B%9B%E8%BE%B9%E5%BD%A2%E6%9C%89%E4%B8%A4%E6%9D%A1%E5%AF%B9%E8%A7%92%E7%BA%BF%2C%E5%87%B8%E4%BA%94%E8%BE%B9%E5%BD%A2%E6%9C%895%E6%9D%A1%E5%AF%B9%E8%A7%92%E7%BA%BF%2C%E5%87%B8%E5%85%AD%E8%BE%B9%E5%BD%A2%E6%9C%899%E6%9D%A1%E5%AF%B9%E8%A7%92%E7%BA%BF%E2%80%A6%E7%94%B1%E6%AD%A4%E7%8C%9C%E6%83%B3%E5%87%B8n%E8%BE%B9%E5%BD%A2%E6%9C%89%E5%87%A0%E6%9D%A1%E5%AF%B9%E8%A7%92%E7%BA%BF%3F%E8%AE%BE%E6%9D%A1%E6%95%B0%E4%B8%BAan%2C%E5%88%99a4%3D2%2Ca5%3D5%2Ca6%3D9%E2%80%A6%E2%80%A6%E6%9C%89a5-a4%3D3%2Ca6-a5%3D4%2C%E2%80%A6%E2%80%A6%E7%8C%9C%E6%83%B3%EF%BC%9Aan-an-1%3Dn-2%E2%88%B4an%3D2%2B3%2B4%2B5%2B%E2%80%A6%2B%EF%BC%88n-2%EF%BC%89%3Dn%2F2%EF%BC%88n)
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