抛物线(二次函数)割线和切线平行性问题的证明与推广  

The proof and generalization of the parallelism problem of parabolic(quadratic function)secant and tangent

作　　者：董冠文 李自勇 王彩琴 何长林 DONG Guanwen;LI Ziyong;WANG Caiqin;HE Changlin(Gansu Mechanical&Electrical Vocational College,Tianshui Gansu 741000,China)

机构地区：[1]甘肃机电职业技术学院,甘肃天水741000

出　　处：《河北省科学院学报》2024年第2期1-12,共12页Journal of The Hebei Academy of Sciences

基　　金：甘肃机电职业技术学院2022年职业教育教学改革研究项目(2022-02)。

摘　　要：介绍了抛物线(二次函数)上割线和切线平行性问题,并用数值均差法证明了抛物线(二次函数)上割线和切线平行性问题的结论,分两次推广了抛物线(二次函数)上割线和切线平行性问题的相关结论。The problem of secant and tangent parallelism on parabola(quadratic function)is introduced,and the numerical mean difference method is used to prove the conclusion of secant and tangent parallelism on parabola(quadratic function),and the relevant conclusions of secant and tangent parallelism problems on parabola(quadratic function)are generalized twice.

关 键 词：抛物线 数值均差法 割线 切线 

分 类 号：O241[理学—计算数学]