"Homogeneous" means "equal degree" from the word surface, which means that all variables in the formula have the same degree, which is a common concept in calculus. Like f=ax? +bxy+cy？ It's a quadratic homogeneous formula about xy. The common method to deal with homogeneous formula is to get the formula of variable quotient by dividing the highest term of a variable, such as in ax? +bxy+cy？ Divide by y to get a(x/y)? +b(x/y)+c, x/y can be regarded as a variable, thus reducing variables and creating conditions for seeking new ideas for solving problems and simplifying operations.

Homogeneous inequality: that is, the degree of each term in inequality is the same. Like x? -2xy-3y？ & gt0、x？ -2x？ y+5y？ & gt0