188宝金博页面版

1 初中奥数数学竞赛讲座《因式分解技巧》+习题（含答案） 目 录 0 什么是因式分解 ....................................................................................................................... 1 1 提公因式 ................................................................................................................................... 1 1.1 一次提净 ......................................................................................................................... 1 1.2 视“多”为一 ................................................................................................................. 2 1.3 切勿漏 1 .......................................................................................................................... 2 1.4 注意符号 ......................................................................................................................... 3 1.5 仔细观察 ......................................................................................................................... 3 1.6 化“分”为整 ................................................................................................................. 3 小结 .......................................................................................................................................... 4 习题 1 ....................................................................................................................................... 4 2 应用公式 ................................................................................................................................... 5 2.1 平方差 ............................................................................................................................. 5 2.2 立方和与立方差 ............................................................................................................. 6 2.3 完全平方 ......................................................................................................................... 7 2.4 完全立方 ......................................................................................................................... 8 2.5 问一知三 ......................................................................................................................... 8 2.6 2 1984 +1 不是质数 ............................................................................................................ 9 小结 ........................................................................................................................................ 10 习题 2 ..................................................................................................................................... 10 3 分组分解 ................................................................................................................................. 12 3.1 三步曲 ........................................................................................................................... 12 3.2 殊途同归 ....................................................................................................................... 12 3.3 平均分配 ....................................................................................................................... 13 3.4 瞄准公式 ....................................................................................................................... 14 3.5 从零开始 ....................................................................................................................... 15 小结 ........................................................................................................................................ 15