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方程的教学是数学教学的重要内容之一。初等数学中从一元一次方程开始,由浅入深地讨论了一元二次方程,二元、三元方程组,并在此基础上进一步研究了简单的高次方程、分式方程、无理方程、指数方程、对数方程等。在教学实践中,常遇到以未知函数为未知量的方程,我们把这种方程称作函数方程,本文以几种常见的初等代数函数方程为例,探讨其解法。
The teaching of equations is one of the important contents of mathematics teaching. In elementary mathematics, starting from the one-ary-one-time equation, the quadratic, binary, and ternary equations are discussed from the beginning to the end. Based on this, simple higher-order equations, fractional equations, irrational equations, and exponentials are further studied. Equations, logarithmic equations, etc. In teaching practice, we often encounter an equation with an unknown function as an unknown quantity. We call this equation a function equation. This article uses several common elementary algebraic function equations as examples to discuss its solution.