本书是"好题全家桶”系列丛书的第六本,聚焦于初中数学函数中的一次函数,通过分层训练的方式帮助学生掌握一次函数部分的知识,函数的认识、函数的图象性质、求一次函数解析式、一次函数与平移对称旋转、一次函数与方程不等式综合、一次函数的应用、一次函数与面积问题、一次函数与等腰三角形、一次函数与三垂直、一次函数与将军饮马、一次函数综合,共11个重点板块内容。本书以题目类型为依据划分,先讲解经典例题,再进行分层训练,使不同基础的学生都能找到合适的题。此外,本书的答案部分解题步骤详细、规范,帮助学生逐渐规范答题步骤,理清逻辑思维。
卢红军,毕业于郑州大学,双学位。在学而思从事初中数学一线教学11年,S级主讲教师和优秀主备教师。带领教研团队打磨了数百册初中数学内部教材,拥有10年以上的初中数学教研实战经验。本书用行业资深教研工作者的视角,通过精选计算好题,系统性的分层设计,详尽的计算步骤和简洁的计算方法呈现,全面辅导新初一学生的计算练习,让计算学习更有效。
第1 节 函数的认识 ·······································································.1
第2 节 正比例函数 ·······································································.5
第3 节 一次函数的图象与性质(1) ················································.11
第4 节 一次函数的图象与性质(2) ················································.16
第5 节 一次函数解析式的确定 ·······················································.22
第6 节 一次函数与平移 ································································.30
第7 节 一次函数与对称、旋转 ·······················································.34
第8 节 一次函数与方程、不等式综合 ···············································.38
第9 节 一次函数的应用(1) ·························································.44
第10 节 一次函数的应用(2) ·······················································.54
第11 节 一次函数与面积问题(1) ··················································.63
第12 节 一次函数与面积问题(2) ··················································.70
第13 节 一次函数与等腰三角形 ······················································.78
第14 节 一次函数与三垂直 ····························································.86
第15 节 一次函数与将军饮马 ·························································.95
第16 节 一次函数与动点问题 ·······················································.105
第17 节 一次函数的综合探究 ·······················································.112
解题方法详解 ·············································································.119