《高中数学每周必刷题 高一上》由北京新东方优能中学研发**编著，书中根据课程标准的要求，结合高中数学人教版高一上学期学习的内容，将其划分到17周的时间里，使之更好地适配学生的学习节奏。每周一个“导图关”，将学生本周所需掌握的基础知识（概念、公式和定理等）以导图的形式呈现，便于学生整体了解和把握知识，为“刷题”奠定理论基础。每周根据课程进度划分1～3个训练，每个训练下设5个关卡：“基础关”“能力关”“模拟关”“高考关”“素养关”，关卡下的练习题按由易到难的顺序进行排列，便于学生逐步练习，夯实基础，提升能力，保证练习的科学性和有效性。“模拟关”和“高考关”选取近5年的高考模拟题和真题，供学生熟悉高考真题的考查内容和形式，在掌握知识的基础上有效备考。“素养关”帮助学生有意识地培养学科素养，更符合现在的教学趋势和课程标准的要求。书中设置综合测试，帮助学生有效进行自测，检验学习效果。 随书附赠答案解析册，便于学生核对试题答案；同时配备详尽的解析，便于学生掌握解题思路、步骤和方法。对于**题、难题，提供多种解题思路，引导学生多方位思考，同时对“考点”“易错点”进行点拨，让学生能真正掌握知识，完成从

第1��� 训练1 集合的概念与表示···········································2 训练2 集合间的关系·················································4 第2周 训练1 集合的运算····················································7 训练2 新定义问题····················································9 第3周 训练1 命题····························································12 训练2 充分条件与必要条件·······································13 第4周 训练1 不等式的性质及解法·······································16 训练2 基本不等式···················································17 第5周 训练1 函数的定义域与解析式····································20 训练2 函数的值域···················································22 第6周 训练1 函数的单调性及其应用····································25 训练2 用定义法证明函数的单调性······························26 第7周 训练1 函数单调性的应用··········································29 训练2 抽象函数的单调性··········································30 第8周 训练1 函数奇偶性的性质与应用·································33 训练2 抽象函数的奇偶性与单调性······························35 第9周 训练1 函数的零点及其判定·······································38 第10周 训练1 指数式与指数运算··········································41 训练2 指数函数及其性质··········································42 第11周 训练1 对数式与对数运算··········································46 训练2 对数函数及其性质··········································47 第12周 训练1 幂函数的三要素·············································50 训练2 幂函数的图象与性质·······································52 第13周 训练1 任意角的概念与弧度制····································55 训练2 任意角的三角函数··········································56 训练3 诱导公式······················································58 第14周 训练1 两角和差公式················································61 训练2 二倍角公式与辅助角公式·································61 训练3 三角函数······················································63 第15周 训练1 向量的基本概念与线性运算······························66 训练2 平面向量共线定理··········································68 第16周 训练1 平面向量基本定理··········································71 训练2 平面向量的坐标表示与运算······························72 第17周 综合测试································································74