复数的四则运算.pdf

《复数的四则运算.pdf》由会员分享，可在线阅读，更多相关《复数的四则运算.pdf（4页珍藏版）》请在taowenge.com淘文阁网|工程机械CAD图纸|机械工程制图|CAD装配图下载|SolidWorks_CaTia_CAD_UG_PROE_设计图分享下载上搜索。

1、沛县汉城国际学校高二数学组选修1-2 导学单时间：1 月 15 日备课人：张允力13.2 复数的四则运算【学习要求】1.理解复数代数形式的四则运算法则.2.能运用运算法则进行复数的四则运算.课前预习1.(1)(a bi)(cdi)；(2)(abi)(c di)；(3)(abi)(cdi)；(4)abicdi2.复数 zabi 的共轭复数z.3.对任何 z，z1，z2C 及 m，n N*，有zm zn；(zm)nzmn；(z1z2)nzn1 zn2.活动一 复数的加减法运算例 1计算：(1)(12i)(2i)(2i)(12i)；(2)1(ii2)(12i)(12i).跟踪训练 1(1)计算 2i

2、(32i)3(13i)；(2)计算(a2bi)(3a4bi)5i(a，bR)；(3)若(310i)x(2i)y19i，求实数 x，y 的值.活动二 复数的乘除法运算问题怎样进行复数的乘法？例 2计算：(1)(2i)(2i)；(2)(12i)2；(3)(1i1i)623i32i.跟踪训练 2(1)i 是虚数单位，复数13i12i_.(2)复数i2i3i41i_.沛县汉城国际学校高二数学组选修1-2 导学单时间：1 月 15 日备课人：张允力2活动三共轭复数及应用问题共轭复数有哪些性质，这些性质有什么作用？例 3已知复数z 满足|z|1，且(34i)z 是纯虚数，求z的共轭复数z.跟踪训练3已知复

3、数z满足：z z 2iz 86i，求复数z 的实部与虚部的和.课堂检测1.复数 z1212i，z2122i，则 z1z2 _.2.若 z32i4i，则 z_.3.设复数 z 满足 iz1，其中 i 为虚数单位，则z_.4.复数 zi212i_.课堂小结1.复数的四则运算(1)复数的加减法和乘法类似于多项式的运算，复数的乘法满足交换律、结合律以及乘法对加法的分配律.(2)在进行复数的除法运算时，通常先将除法写成分式的形式，再把分子、分母都乘以分母的共轭复数，化简后可得，类似于以前学习的分母有理化.2.共轭复数的性质可以用来解决一些复数问题.3.复数问题实数化思想.复数问题实数化是解决复数问题的基

4、本思想方法，其桥梁是设复数zabi(a，bR)，利用复数相等的充要条件转化.文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码

5、:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编

6、码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档

7、编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文

8、档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10

9、文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W1

10、0文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W

11、10沛县汉城国际学校高二数学组选修1-2 导学单时间：1 月 15 日备课人：张允力3自我检测1如果一个复数与它的模的和为53i，那么这个复数是_2(12i)(23i)(34i)(2 0082 009i)(2 0092 010i)(2 0102 011)i(2 0112 012i)_.35i1i的值等于 _486i 的平方根是 _5已知复数z12 i，z21i，则复数z1 z2的虚部是 _6复数 z132i43i，z223i(i 为虚数单位)，z3z1z2，则|z3|_.7若复数1i1i12b(bR)的实部与虚部相等，则实数b 的值为 _8若复数z满足 z(1 i)1i(i 是虚数单位)，则其

12、共轭复数z _.9设 mR，复数 z1m2mm2(m 15)i，z2 2m(m3)i，若 z1z2是虚数，求m 的取值范围文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P

13、9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8

14、P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K

15、8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8

16、K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB

17、8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 H

18、B8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5

19、HB8K8P9V5G2 ZW6K10T2Q4W10沛县汉城国际学校高二数学组选修1-2 导学单时间：1 月 15 日备课人：张允力410计算：22i12 13i923 i100123i100.11已知 z1i，a，bR，若z2az bz2z11i，求 a，b 的值12已知复数z，满足 z2512i，求1z.文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5

20、 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X

21、5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9

22、X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C

23、9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8

24、C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A

25、8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10文档编码:CM10R6A8C9X5 HB8K8P9V5G2 ZW6K10T2Q4W10