对任意复数 w_ 1 ,w_ 2，定义 ω_ 1 *ω_…——2014 高考数学第 10 题答案解析

10．对任意复数$w_{1},w_{2}$，定义$\omega_{1}*\omega_{2}=\omega_{1}\overline{\omega_{2}}$，其中$\overline{\omega_{2}}$是$\omega_{2}$的共轭复数，对任意复数$z_{1},z_{2},z_{3}$有如下四个命题：
①$(z_{1}+z_{2})*z_{3}=(z_{1}*z_{3})+(z_{2}*z_{3})$；②$z_{1}*(z_{2}+z_{3})=(z_{1}*z_{2})+(z_{1}*z_{3})$；
③$(z_{1}*z_{2})*z_{3}=z_{1}*(z_{2}*z_{3})$；④$z_{1}*z_{2}=z_{2}*z_{1}$；
则真命题的个数是（ ）