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(一)定義問題 前東北人民政府教育部編譯的高中代數課本所附的習題本(非現在修訂版所附的拉尼切夫的習題本)第十三章第五節中對於倒數方程所下的定義是:與首尾等距的兩項係數皆相等的任意次方程叫做倒數方程,但就是在這一節中所講的第二類四次倒敷方程ax~4+bx~3+cx~2-bx+a=0,事實上便不是如定義所說舆首尾等距的兩項係數皆相等的方程,因為b≠-b,所以我認為這樣給倒數方程下定義是不十分妥當的。 諾窪塞洛夫在“初等代數特別教程”及“代數與初等函數”中,對於倒數力程所下的定義也都和上面一樣,但是他在初等代數特別教程中(見§78)也把與首末二項等遠的x的偶次冪的係數相等,而奇次冪的係數符號相反的方程叫做第二類倒數方程。由此可見,上画所舉的高中代數習題本舆初等代數特別教程二書都等於介紹了倒數方程應
(1) Definition of Questions The Northeastern People’s Government compiled the textbooks for high school algebra textbooks (not present revisions of the Ranichev’s exercise book) in Chapter 13 of the 13th chapter on the reciprocal equations. The definition is: any sub-equation with the same equidistant two-term coefficient is called the reciprocal equation, but it is the second kind of four-fold equation in this section that describes ax~4+bx~3+cx~2 -bx+a=0. In fact, it is not an equation that is equal in terms of the two factors that are equal in the definition of “head and tail” because b≠-b, so I think that the definition of the reciprocal equation is not very appropriate. Novo Cerrov’s definition of the inverse force in the “Algebra Special Tutorial” and “Algebra and Elementary Functions” is also the same as the above, but he also put it in the special algebraic algebra tutorial (see § 78). It is equal to the even power coefficient of x equal to the first and the last two terms, and the equation of the opposite power of the odd power coefficient is called the second reciprocal equation. From this it can be seen that the high school algebra exercises used in the paintings and the algebraic special tutorials are equal to introducing the reciprocal equation.