目 錄
摘要 1
關(guān)鍵詞 1
Abstract 1
Key words 1
一、引言 2
二、函數(shù)的基本概念 2
（一）函數(shù)概念 2
（二）函數(shù)思想 5
三、函數(shù)思想在高中數(shù)學(xué)中的具體體現(xiàn) 6
（一）方程中的函數(shù)思想 6
（二）不等式中的函數(shù)思想 8
（三） 數(shù)列中的函數(shù)思想 9
（四）三角中的函數(shù)思想 10
（五） 向量中的函數(shù)思想 11
（六）立體幾何中的函數(shù)思想 12
（七）解析幾何中的函數(shù)思想 13
（八）探索性與實(shí)際應(yīng)用問(wèn)題中的函數(shù)思想 14
四、總結(jié) 15
參考文獻(xiàn) 17
致 謝 18





高中數(shù)學(xué)中的函數(shù)思想及應(yīng)用
摘要：函數(shù)是高中數(shù)學(xué)的一個(gè)重要的基本概念，它滲透在數(shù)學(xué)的各部分內(nèi)容中。一直是高考的熱點(diǎn)、重點(diǎn)內(nèi)容。
本文論述了函數(shù)思想是函數(shù)基礎(chǔ)理論的升華，并結(jié)合大量的實(shí)例敘述了函數(shù)思想在高等數(shù)學(xué)的各個(gè)方面的應(yīng)用，從而揭示了函數(shù)意識(shí)的實(shí)質(zhì)以及對(duì)知識(shí)發(fā)展規(guī)律的認(rèn)識(shí)。在解題過(guò)程中不僅限于只簡(jiǎn)單地模擬、套路，而更多的是創(chuàng)設(shè)一個(gè)自己去觀察、探索、研究問(wèn)題的情境。在理清思路，搞清原理的基礎(chǔ)上，將具體的模式和解題方法上升到定的思想高度。這樣才能使思維得到真正的發(fā)展和深化，進(jìn)而完成函數(shù)思想的培養(yǎng)。
關(guān)鍵詞：高中數(shù)學(xué) 函數(shù) 函數(shù)思想
Abstract：Function of the high school mathematics is an important basic concept, which penetrates in mathematics of all the parts of the content., So it has been the hot spot of the university entrance exam, key content.
This paper discusses the function of the theory of ideological function is the sublimation, and combined with a large number of examples describes the function in higher mathematics thought of all aspects of the application, and reveals the essence of the function of knowledge and awareness know the law of development. We in solving questions are not limited to just simply simulation, routines, and more is to create a himself to observe, exploration, research problem situation. In the ideas, understand principle, and on the basis of the specific pattern and problem solving method to set up the thought highly. This way can make our thinking get real development and deepening, complete function and the cultivation of thinking.
Key words: High school maths, Function , Function thought