代数式是初中数学中的基础知识点.但在历年各地的各类考试中都有所涉及,特别是在各级数学竞赛中更是随处可见.现采撷几例.供同学们欣赏.例1(第十二届全国“华罗庚金杯”少年数学邀请赛初赛题)如果一个多项式的各项的次数都相同.则称该多项式为齐次多项式.例如x~3+2xy~2+2xyz+y~3是三次齐次多项式.若x~(m+2)y~2+3xy~3z~2是齐次多项式,则m等于(). Algebra is the basic point of knowledge in junior high school mathematics, but throughout the years all kinds of examinations are involved, especially in all levels of mathematics competitions are everywhere. Now pick a few examples for students to enjoy. Example 1 ( If a polynomial all the same number of times, then called the polynomial homogeneous polynomial. For example, x ~ 3 + 2xy ~ 2 + 2xyz + y ~ 3 is a cubic homogeneous polynomial, and m is equal to () if x ~ (m + 2) y ~ 2 + 3xy ~ 3z ~ 2 is a homogeneous polynomial.