(完整word版)3.2.1复数代数形式的加减运算及其几何意义导学案.pdf

1 3.2.1 复数代数形式的加减运算及其几何意义导学案【使用说明】1、课前完成导学案，牢记基础知识，掌握基本题型；2、认真限时完成，规范书写；课上小组合作探究，答疑解惑。【学习目标】1、知识与技能：掌握复数加法、减法的运算法则，能够熟练地进行加减运算；理解复数加减法的几何意义;2、过程与方法：小组合作探究；3、情感态度与价值观：以极度的热情，自动自发，如痴如醉，投入到学习中，充分享受学习的乐趣。【重点难点】1、复数的加减法运算法则；2、复数的加减法的几何意义一、知识回顾1、复数的概念：形如的数叫做复数，ba,分别叫做它的。2、复数ibaz111与ibaz222相等的充要条件是。3.复数的几何意义是什么？复数一一对应biaz平面向量OZ或点),(ba二、认识新知以前我们已经学习了实数的运算，现在我们一起来学习复数的运算，在这里我们要学习的复数的运算有加、减、乘、除，这节课我们主要来学习加减运算。1、复数的加法法则：设biaz1，dicz2(Rdcba,)是任意两个复数，那么它们的和：)()(dicbia也就是两个复数相加:作为实部,作为虚部.其和的结果仍然是一个确定的。精品资料-欢迎下载-欢迎下载 名师归纳-第 1 页，共 4 页 -2 探究一复数加法的运算律我们知道实数的加法满足交换律，结合律，同样复数的加法也满足交换律，结合律：（1）（2）点评：实数加法运算的交换律、结合律在复数集C 中依然成立。探究二复数加法的几何意义我们知道复数与复平面内的向量有一一对应关系。我们也讨论过向量加法的几何意义，那么你能由此出发讨论复数加法的几何意义吗？请大家自己看课本第57 页复数加法的几何意义就是复数的加法可以按照向量的加法来进行。课堂练习计算下列各式：（1）)23()56(ii（2）)32()21(ii（3）)43()42(ii深入探究2、复数的减法法则类 比 实 数 的 减 法 意 义，我 们 规 定 复 数 的 减 法 是 加 法 的 逆 运 算，即 把 满 足biayixdic)()(的复数yix叫做复数bia减去复数dic的差。请大家看课本第 57 页自己推导复数的减法法则：)()(dicbia也就是两个复数相减：作为实部，作为虚部.其差的结果仍然是一个确定的。精品资料-欢迎下载-欢迎下载 名师归纳-第 2 页，共 4 页 -文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A73 探究三类比复数加法的几何意义，请指出复数减法的几何意义？复数减法的几何意义：1221ZZOZOZ也就是复数的减法可以按照向量的减法来进行。课堂练习计算下列各式：（1）)23()56(ii（2）)32()21(ii（3）)23(5i学以致用课本第 57 页 例 1：)43()2()65(iii点评：复数加减的混合运算可以把实部与实部进行加减作为实部，虚部与虚部进行加减作为虚部。1Zy x c 2Z精品资料-欢迎下载-欢迎下载 名师归纳-第 3 页，共 4 页 -文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A74 课堂练习计算下列各式：(1)51()2()43(iii(2)iii4)32()2(2014 年 3 月 24 日精品资料-欢迎下载-欢迎下载 名师归纳-第 4 页，共 4 页 -文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 ZG7O2Z10G7A7文档编码:CK1L5U10O2J5 HO3X3Z10F7Y8 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