论文部分内容阅读
对形如y=((a_1)x~2+b_1x+c_1)/((a_2x~2+b_2x+c_2))的有理分式函数的值域,我们可以把它化归为关于x的一元二次方程,然后用根的判别式探求。如果用解几的思想将函数改写成 k=((参数a的形式乙-常数乙))/((参数a的形式甲-常数甲))的形式,把问题化归为求已知点M(常数甲,常数乙)与已知曲线x=参数a的形式甲 y=参数a的形式乙上的点的联线的最大斜率和最小斜率,则更能加深学生对代数曲线的理解,起到数形结合的作用。例1 求函数y=((-x+5))/((2x-3))的值域。分析:改写上式为k=((-a-(-5)))/((2a-3)),求函数的
For a range of rational fractional functions of the form y = ((a_1) x ~ 2 + b_1x + c_1) / ((a_2x ~ 2 + b_2x + c_2)) we can classify it as a unitary two Subequations, and then use the root discriminant search. If we rewrite the function as k = (((form B - constant B)) / (form A - constant A) of a) (Constant A, constant B) and the known curve x = the form of a parameter a = the maximum slope and the minimum slope of the line connecting point B in the form of parameter a, which further deepens students' understanding of the algebraic curve. The role of the combination of numbers. Example 1 Find the range of the function y = ((- x + 5)) / ((2x-3)). Analysis: Rewrite the above formula for k = ((- a - (- 5))) / ((2a-3)), find the function