★★分?jǐn)?shù)裂項(xiàng)法專題.docx

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1、1110x1111x1259x601111112、-+—+—+—+—+——+—+—6122030425672903、★141+?—I1+21+2+31+2+3+41+2+3+…+99+1004.從1到100這100個(gè)自然數(shù)中任取10個(gè)數(shù)，使它們的倒數(shù)和等于1,這10個(gè)數(shù)分別是多少5'百+4護(hù)僉+6護(hù)7護(hù)碼+9占111111111111116、_+一+—+—+FF——HHFF—+—HH361015212836455566789110512017911131531220304256111118、★—H+—+—+■■■4122440198001]n(n+k)n(n+k)1、+1F15x77x99x1

2、111x1313x1511112、11…1x44x77x1097x1002^5+3578+58xll+9l1x14+1114x174、丄+丄+丄+丄+丄315356399+卜++???+2x53x64x75x87x10111116、111■—I1x32x43x54x620x227、—I11182448801208、★—++…+12+32+3+42+3+4+???+20019、★—+++…+22+42+4+62+4+6+?…+100]__J、n{n+￡)(〃+2k)2kn(n+k)(〃+k)(n+2k);I1111111F?—I1x2x32x3x43x4x54x5x648x49x502、1111

3、1F—+2x4x64x6x86x8x1096x98x1001x3x53x5x75x7x9195x97x994、丄+丄+丄+丄+丄+丄62460120210845、一+一-一+一-一+一-一+…+1x2x32x3x43x4x54x5x698x99x100n(n+k)(n+2k)Cn+3k)3kn(n+k)(n+2k)(“+k)(n+2k)(n+3k)；1、11…1x2x3x42x3x4x53x4x5x617x18x19x20++F+24120360840630用拆項(xiàng)法求復(fù)合型分?jǐn)?shù)和U丄+丄+亠22x32x3x4I111122x32x3x42x3x4x52x3x4x5x61468103、—l111

4、13x53x5x73x5x7x93x5x7x9x111511192941557197014、_+—FFF——+F…++261220304256729702H3x5x7x9x119899990035+23+59+119+209+834246012021084