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教学要求:(1)使学生理解一元二次方程的概念及一般形式ax~2+bx+c=0(a≠0)中各字母的意义,牢固掌握一元二次方程的三种解法及其根据,熟练、合理地解一元二次方程.(2)使学生理解一元二次方程根的判别式的概念;一元二次方程根与系数的关系;熟练地根据判别式和根与系数的关系讨论一元二次方程根的情况,求解与此有关的问题;能运用求根的方法分解二次三项式以及解决其他有关问题.(3)熟练地解可化为一元二次方程的特殊高次方程、分式方程和根式方程,掌握配方法、换无法、因式分解法和解这类方程的完整步骤,明确增根的道理,熟悉验根方法.(4)明确可解的二元二次方程组的几种简单类型,
Teaching requirements: (1) To enable students to understand the concept of the one-dimensional quadratic equation and the meaning of each letter in the general form ax~2+bx+c=0(a≠0), and firmly grasp the three solutions of the one-dimensional quadratic equation and its solution Based on, proficiently and rationally solving a quadratic equation. (2) To make students understand the concept of a discriminant of the root of a quadratic equation; the relationship between the root of a quadratic equation and a coefficient; skillfully based on the discriminant and the relationship between the root and the coefficient Discuss the situation of the root of a quadratic equation and solve the problems related to it; can use the root method to decompose the quadratic trinomials and solve other related problems. (3) Expertly solve the special high that can be reduced to a quadratic equation Sub-equations, fractional equations, and root equations, mastering the complete steps of matching methods, substitutions, factorization methods, and solving such equations, clarifying the principle of rooting, and being familiar with the method of root detection. (4) Clearly solvable binary two Several simple types of subequation