新编八年级数学导学案前言1由刀豆文库小编整理，希望给你工作、学习、生活带来方便，猜你可能喜欢“导学案11序言”。
前 言
河南省周口市淮阳第一高级中学位于万亩龙湖环抱的羲皇故都，毗邻天下第一陵太昊伏羲陵。河南省示范性普通高中。学校现有200多个教学班，在校学生19000余人，教职工1000余人。其中特级教师2人，高级教师89人。研究生9人，在读研究生81人。有4位教师被授予全国优秀教师称号，省级优秀教师8人。
建校十年来，在各级政府的关怀下，淮阳一高教学质量迅猛发展。2008年高考，学生李想摘取全市文科状元，张馨心为全市文科第二名。李想、张馨心、孟永党分别被北京大学、清华大学录取。2009高招，有6名学生被北大、清华录取。有10名学生被全国“五大”名牌高校录取。囊括全市理科前四名，囊括全县理科前六名。学生李林林摘取全市理科状元。全县文科前10名，淮阳一高占8人。于翔、陈欣摘取全县文科状元。文科一本上线总数全县第一。2010年高考，三名学生被清华、北大录取。学生刘笑然摘取周口市文科状元，周口市文科前八名淮阳一高占四名，囊括淮阳县文科前四名，晋涵养摘取淮阳县理科状元，全县理科640分以上共14人我校占八人，周口市理科前三名我校占两名。2011年高考，6名学生被北大、清华大学录取。李轻飏同学以摘取全市理科状元；全市（含项城）理科前10名，淮阳一高占6人；全县文科前5名，淮阳一高占3名。2012高考，学生张乐乐摘取周口市文科状元桂冠，刘耕蒲居周口市文科第二名，崔文亮周口市理科第一名（720分，含自主招生加分），李秋哲、陈立康并列周口市理科第二名（692分）。清华大学2013年“新百年领军计划”推荐学校名单公布，我校获得推荐名额，获得推荐的学生不用参加笔试，面试通过就可以享受降60分录取的优惠。2014年，淮阳一高文科学生周彤以638分,程艳霞以632分分别获周口市文科第一名、第二名。周彤、程艳霞、王安然囊括全县文科前三名。理科学生李永强以685分、吴思远以681分，分别获淮阳县理科第一名、第二名。全县理科670分以上共5人，淮阳一高占4人。660分以上全县共11人，淮阳一高占6人。全县理科650分以上25人，淮阳一高占11人。2015年高考我校学生孙子涵、张布雨、许鹿冰、蒋楠被清华大学录取，黎畅畅被北京大学录取，张永辉、章馨允被香港大学录取。中招成绩历年来一直稳踞全县前茅。2014年全县600分以上52人，淮阳一高占34人；550分以上623人，淮阳一高占326人。位焕锦637分全县第一，李佳珍632分全县第二。全县前10名淮阳一高占8人。2015年中招，淮阳一高学生刘子怡636分全县第一！全县前10名，淮阳一高8人； 600分以上全县76人，淮阳一高52人！
为了满足广大师生的要求，我们学校特组织了一线的数十位高级教师和精英教师，结合多年来特别是新课程改革以来的教学实践经验，精心策划编写了本套科学实用的导学案。本次编委在预习指导和合作指导编制上进行了大胆创新，体现出鲜活的时代气息，注重试题立意新、内容结构新、创设情景新、开放探究新，力求引导学生通过预习指导、合作指导等方式，提高学习能力、应试能力。
在编写和审核过程中，我们尽管做到节节推敲、题题把关、但仍难免存在一些错误和疏漏，恳请广大师生和社会人士批评指正，以便我们及时整改，以求更完美地呈现。
最后祝同学们新学期拥有一个快乐而充实的学习生活！
淮阳一高初中部
数学导学案编委会
2015年8月16日
河南省淮阳第一高级中学“五环高效课堂”导学案
八年级数学上册目录
第11章 数的开方
11.1 平方根与立方根 1.平方根
（1）第一课时························································1（2）第二课时························································3 2.立方根
（1）第一课时························································5（2）第二课时························································7 11.2 实数· ·························································· 9 第11章 数的开方知识点汇总 ···········································11 第12章 整式的乘除 12.1 幂的运算
1.同底数幂的乘法···················································13 2.幂的乘方·························································15 3.积的乘方·························································17 4.同底数幂的除法···················································19 12.2 整式的乘法
1.单项式与单项式相乘···············································21 2.单项式与多项式相乘···············································23 3.多项式与多项式相乘 · ···········································25 12.3 乘法公式
1.两数和乘以这两数的差·············································27 2.两数和（差）的平方···············································29 12.4 整式的除法
1.单项式除以单项式·················································31 2.多项式除以单项式·················································33 12.4 因式分解
1.提公因式法························································35 2.公式法····························································37 第12章 整式的乘除知识点汇总 ··········································39 第13章 全等三角形 13.1 命题、定理与证明
1.命题·····························································41 2.定理与证明·······················································43 13.2 三角形全等的判定
1.全等三角形及其判定条件···········································45
2.边角边···························································47 3.角边角···························································49 4.边边边···························································51 5.角角边···························································53 6.斜边直角边·······················································55 13.3 等腰三角形
1.等腰三角形的性质·················································57 2.等腰三角形的判定·················································59 13.4 尺规作图
1.作线段、角及角的平分线············································61 2.经过一已知点作已知直线的垂线·····································63 3.作已知线段的垂直平分线···········································65 13.5逆命题与逆定理
1.互逆命题与互逆定理···············································67 2.线段垂直平分线···················································69 3.角平分线·························································71 第13章 全等三角形知识点汇总··········································73 第14章 勾股定理
14.1 勾股定理
1.直角三角形三边的关系·············································75 2.直角三角形的判定·················································77 3.反证法···························································79 14.2 勾股定理的应用
1.勾股定理的应用（1）··············································· 81 2.勾股定理的应用（2）··············································· 83 第14章 勾股定理知识点汇总··············································85 第15章 数据的收集与表示
15.1 数据的收集 ····················································87 15.2 数据的表示
1.扇形统计图······················································89 2.利用统计图表传递信息············································91 第15章 数据的收集与表示知识点汇总···································· 93
