多项式乘以多项式教学设计.pdf

多项式乘以多项式教学设计朱宾琪教学目标：知识与技能：1、探索多项式与多项式相乘的乘法法则。2.能灵活地进行整式的乘法运算。过程与方法：1、经历探索多项式与多项式相乘的乘法法则的过程，体会乘法分配律的作用以及“整体”和“转化”的数学思想；2、通过对乘法法则的探索，归纳与描述，发展有条理思考的能力和语言表达能力；情感、态度与价值观体验学习和把握数学问题的方法，树立学好数学的信心，培养学习数学的兴趣。教学重点：多项式的乘法法则及其应用。教学难点：探索多项式的乘法法则，灵活地进行整式的乘法运算。关键：多项式的乘法应先转化为单项式与多项式相乘进行运算，进一步转化为单项式的乘法，紧紧扣住这一线索。教学方法：小组合作，自主学习教学过程：一、课前提问师：1、多项式与多项式相乘的法则是什么？依据是什么？2、多项式与多项式相乘，结果的项数与原多项式的项数有何关系？3、积的每一项的符号由谁决定？计算：)32(3)4()53(2)3()35(4)2()32(7)1(23322222xyxyyxbaaaxaaxbaba生：交流答案师：同学们看这道题怎样做？)()5(bnam（多媒体展示）他和我们以前所学的有何不同？生：现在是多项式乘多项式师：那多项式乘多项式如何去计算呢？这节课我们一起来探究吧！二、学习目标（多媒体）师：看到这个课题你想学习哪些知识呢？生：交流师：（多媒体呈现）1、探究并了解多项式与多项式相乘的法则2、熟练的运用法则进行运算三、探求新知问题助学一：文文帮爸爸把原长为m 米,宽为 b 米的菜地加长了 n 米，拓宽了 a 米，聪明的你能迅速表示出这块菜地现在的总面积吗？你还能用更多的方法表示吗?(学生活动)小组内展评作品，推选出最优秀的同学的作品给全班学生展示。文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3你能用不同的方法表示此长方形的面积吗？生 1：(m+n)(a+b)生 2：ma+mb+na+nb 生 3：(m+n)a+(m+n)b(m+n)(a+b)=(m+n)a+(m+n)b=ma+mb+na+nb 问题助学二：(多媒体)1、你能试着说说(m+b)(n+a)=m(n+a)+b(n+a)怎么来的吗？2、进一步完成 m(n+a)+b(n+a)的计算，并说说你的依据引导学生把其中一个因式ab 看作一个整体，再利用乘法分配律来理解mn 与 ab 相乘的结果，从而导出多项式与多项式相乘的法则。四、诊断指导归纳、小结多项式乘法法则(1)文字叙述：多项式与多项式相乘，先用一个多项式的每一项分别乘以另一个多项式的每一项，再把所得的积相加（2）用字母表示法则的形成是本节课的重点之一。在学生归纳法则的过程中，结合学生讨论的情况，播放法则的形成动画，并在此过程中进行启发讲解，让学生明白两个“每一项”的含义。五、点拨提升第一关：(1)(x+2)(x-3)(2)12)(13(2xxxn m a b 文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3设计意图：第一关，目的加强对公式的熟练运用，采用小组合作学习，即先自己动手做一做，再小组讨论兵教兵。最后一起交流小组学习的收获和应该注意的问题。随后在课本随堂练习中做了两道题来检测学生小组学习的情况。第二关：(1)(3x+2y)（x-5y)(2)(x+y)(x2-xy+y2)设计意图：第二关，题目的设置难度稍微加深第三关：(3)(x+2)(x+4)-x(x+1)-8(4)3(x-2)(x+1)-2(x-5)(x-3)第三关，小组竞赛，题目难度有所提升，目的是检测小组整体合作学习水平，并提高学生小组合作的意识。通过结果评选出优胜小组，奖励相应的分数。六、课堂小结1、多项式乘法是用“换元”的方法，将多项式与多项式相乘转化为单项式与多项式相乘。2、运用法则时，要有序地逐项相乘，做到不重不漏。3、在含有多项式乘法的混合运算时，要注意运算顺序，计算结果要化简。七、课堂小测八、拓展延伸选作题：已知22()()46,3()2xayxbyxxyyabab求代数式的值.八、板书设计多项式乘多项式(m+b)(n+a)=mn+ma+bn+ba文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3九、作业布置必做题：随堂练习1；选做题：配套练习册；自留作业文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 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ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3文档编码:CA4I9U7V1L9 HS2N5U7F6H5 ZI9T6N3B6L3