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第一章 组合与推理································································ 第一讲 逻辑推理···························································· 第二讲 容斥问题···························································· 第二章 数与计算（一）····························································· 第一讲 速算与巧算（一）····················································· 第二讲 速算与巧算（二）····················································· 第三章 实践与应用（一）··························································· 第一讲 应用题（二）························································· 第二讲 平均数问题·························································· 第三讲 差倍问题···························································· 第四讲 和差问题···························································· 第五讲 巧算年龄···························································· 第六讲 用假设法解题························································ 第七讲 盈亏问题···························································· 第八讲 还原问题···························································· 第四章 数与计算（二）····························································· 第一讲 定义新运算·························································· 第二讲 速算与巧算（三）····················································· 第三讲 二进制······························································ 第五章 实践与应用（二）··························································· 第一讲 行程问题（一）······················································· 第二讲 行程问题（二）······················································· 第三讲 应用题（三）························································· 第四讲 应用题（四）························································· 第五讲 较复杂的和差倍问题·················································· 第六讲 趣题与智巧································································ 第一讲 周期问题···························································· 第二讲 数学开放题········
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