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新增話題對您所給高中數學的編寫建議的回應
[編輯]首先十分感謝您為維基教科書的建設做出的貢獻,也感謝您能解答我的疑惑。如果我沒有誤解的話,您的大致意思應該是要將高中數學這本教科書編寫為一本通識教科書,而不是以考試為目的的教科書。我十分贊成您的做法,但是目前這本書已經被鏈入許多其他頁面,可能會造成一些其他誤會,如果可能的話,希望您能在遇到這些被鏈入的頁面時能將其刪除。現在我也在或快或慢地編撰高中生物,對編撰教科書也深有體會。私以為您目前對於高中數學的目錄編纂可能還存在一些問題,其次,您編撰的內容似乎有些枯燥,如果能夠將加入一些情景引入會更好一些。推薦您可以參考我翻譯一部分的來自於英文維基教科書《線性代數》(Linear Algebra)為了方便您的參考,將其列如下:
Systems of linear equations are common in science and mathematics.
These two examples from high school science (O'Nan 1990)
give a sense of how they arise. The first example is from Physics.
Suppose that we are given three objects,
one with a mass known to be 2 kg, and are asked to find the unknown masses.
Suppose further that
experimentation with a meter stick produces these two balances. Since the sum of magnitudes of the torques of the clockwise forces equal those of the counter clockwise forces (the torque of an object rotating about a fixed origin is the cross product of the force on it and its position vector relative to the origin; gravitational acceleration is uniform we can divide both sides by it). The two balances give this system of two equations.
The second example of a linear system is from Chemistry. We can mix, under controlled conditions, toluene and nitric acid to produce trinitrotoluene along with the byproduct water (conditions have to be controlled very well, indeed— trinitrotoluene is better known as TNT). In what proportion should those components be mixed? The number of atoms of each element present before the reaction 線性方程組的第二個例子來自化學。我們可以在受控制的情況下混合甲苯() 和硝酸()的生產條件三硝基甲苯()及其副產物水 (條件必須控制得很好,實際上,三硝基甲苯被稱為TNT)。這些成分應該按多大比例混合?每種元素在反應前存在的原子數
must equal the number present afterward. Applying that principle to the elements C, H, N, and O in turn gives this system. 一定與反應後存在的原子數相等。根據這個反應式中的C、H、N和O元素的守恆。
To finish each of these examples requires solving a system of equations. In each, the equations involve only the first power of the variables. This chapter shows how to solve any such system. 要完成這些例子中的每一個都需要解一個方程組。在每一個方程中,方程只涉及未知數的一次方。本章介紹如何求解任何此類方程組。 |
鄙人翻譯水平有限,望見諒。上述內容僅供您參考。中國目前的數學教育的確也存在一些問題,雖然我可能並未遇見您所述的問題。但是還是希望您可以儘可能參考中國大陸與台灣地區的實際情況為高中數學作出更多貢獻。
最後,再次感謝您對維基教科書做出的貢獻。祝您2021年新年快樂!