數(shù)學(xué)函數(shù)的理解-數(shù)學(xué)函數(shù)理解演講

數(shù)學(xué)函數(shù)的理解數(shù)學(xué)函數(shù)理解演講PresenternameAgenda函數(shù)的定義和基本性質(zhì)引言加深對(duì)函數(shù)的理解函數(shù)的核心觀點(diǎn)01.函數(shù)的定義和基本性質(zhì)函數(shù)在各領(lǐng)域的應(yīng)用對(duì)應(yīng)關(guān)系函數(shù)是自變量與因變量的對(duì)應(yīng)關(guān)系——函數(shù)對(duì)應(yīng)關(guān)系函數(shù)的定義函數(shù)的特點(diǎn)函數(shù)具有定義域、值域、單調(diào)性等特點(diǎn)唯一性每個(gè)自變量只能對(duì)應(yīng)一個(gè)因變量函數(shù)：數(shù)學(xué)世界的基石自變量與因變量之間的映射關(guān)系——自變量和因變量的映射對(duì)應(yīng)關(guān)系的定義函數(shù)的對(duì)應(yīng)關(guān)系自變量是輸入值，因變量是輸出值自變量和因變量每個(gè)自變量只能對(duì)應(yīng)一個(gè)因變量唯一性原則解讀函數(shù)奧秘函數(shù)的性質(zhì)定義域和值域確定函數(shù)的輸入和輸出范圍——函數(shù)輸入輸出范圍確定單調(diào)性函數(shù)在定義域內(nèi)的增減趨勢(shì)奇偶性函數(shù)的對(duì)稱性質(zhì)函數(shù)：揭示數(shù)學(xué)的奧秘0203自變量的取值范圍——自變量取值范圍定義域01函數(shù)的所有可能的因變量值值域定義域決定了值域的范圍域值關(guān)系定義域和值域的概念定義域和值域圖像可以展示函數(shù)的奇偶性質(zhì)對(duì)稱函數(shù)圖像觀察圖像得到函數(shù)值函數(shù)圖像解決問(wèn)題圖像展示函數(shù)特點(diǎn)函數(shù)圖像和規(guī)律函數(shù)的圖像函數(shù)的圖像表達(dá)02.引言函數(shù)在實(shí)際問(wèn)題中的重要性函數(shù)的概念和性質(zhì)函數(shù)是自變量與因變量的對(duì)應(yīng)關(guān)系-函數(shù)對(duì)應(yīng)關(guān)系。函數(shù)定義與關(guān)系函數(shù)的基本性質(zhì)包括定義域、值域、單調(diào)性、奇偶性等。函數(shù)的基本性質(zhì)函數(shù)在物理、經(jīng)濟(jì)、生物等領(lǐng)域都有廣泛的應(yīng)用。函數(shù)的廣泛應(yīng)用引言學(xué)習(xí)目標(biāo)1函數(shù)的唯一對(duì)應(yīng)關(guān)系2了解定義域、值域、單調(diào)性、奇偶性等3函數(shù)在物理、經(jīng)濟(jì)、生物等領(lǐng)域廣泛應(yīng)用認(rèn)識(shí)函數(shù)的應(yīng)用掌握函數(shù)性質(zhì)理解函數(shù)的概念目標(biāo)設(shè)定函數(shù)是數(shù)學(xué)中重要的概念函數(shù)的對(duì)應(yīng)關(guān)系每個(gè)自變量對(duì)應(yīng)唯一的因變量——自變量唯一對(duì)應(yīng)因變量01多練函數(shù)題加深對(duì)函數(shù)的理解03函數(shù)在各領(lǐng)域應(yīng)用函數(shù)在現(xiàn)實(shí)生活中的應(yīng)用非常廣泛02為什么學(xué)習(xí)函數(shù)03.加深對(duì)函數(shù)的理解觀察函數(shù)的特征與應(yīng)用函數(shù)的域和值函數(shù)的取值范圍函數(shù)的單調(diào)性判斷函數(shù)在定義域內(nèi)的增減情況函數(shù)的奇偶性確定函數(shù)關(guān)于原點(diǎn)的對(duì)稱性練習(xí)題示例函數(shù)挑戰(zhàn)示例函數(shù)在現(xiàn)實(shí)生活中的應(yīng)用物理運(yùn)動(dòng)函數(shù)運(yùn)動(dòng)物體的位移隨時(shí)間變化的關(guān)系經(jīng)濟(jì)中的函數(shù)應(yīng)用成本、收入、利潤(rùn)等與產(chǎn)量的關(guān)系生物領(lǐng)域中的函數(shù)生物體的生長(zhǎng)、代謝等與時(shí)間的關(guān)系函數(shù)應(yīng)用場(chǎng)景觀察函數(shù)特征通過(guò)觀察函數(shù)的圖像來(lái)了解函數(shù)的性質(zhì)觀察函數(shù)在自變量變化時(shí)的響應(yīng)觀察函數(shù)在現(xiàn)實(shí)生活中的具體應(yīng)用場(chǎng)景函數(shù)的圖像函數(shù)的變化函數(shù)的應(yīng)用函數(shù)的觀察04.函數(shù)的核心觀點(diǎn)函數(shù)思維能力與現(xiàn)實(shí)生活應(yīng)用培養(yǎng)邏輯思維和問(wèn)題解決能力。函數(shù)思維能力01.物理、經(jīng)濟(jì)、生物等多個(gè)領(lǐng)域都有函數(shù)的應(yīng)用廣泛的應(yīng)用領(lǐng)域通過(guò)觀察函數(shù)的性質(zhì)來(lái)理解實(shí)際問(wèn)題觀察函數(shù)的特征02.03.函數(shù)的重要性應(yīng)用數(shù)學(xué)的基石加深對(duì)函數(shù)的理解——加深對(duì)函數(shù)的理解多做函數(shù)練習(xí)增強(qiáng)對(duì)函數(shù)的認(rèn)識(shí)關(guān)注函數(shù)應(yīng)用場(chǎng)景在日常生活中培養(yǎng)函數(shù)思維觀察函數(shù)特征函數(shù)思維能力的培養(yǎng)培養(yǎng)函數(shù)思維能力函數(shù)的應(yīng)用領(lǐng)域物理學(xué)描述物體運(yùn)動(dòng)、力學(xué)、電磁學(xué)等現(xiàn)象-描述物體運(yùn)動(dòng)、力學(xué)、電磁學(xué)等。經(jīng)濟(jì)學(xué)研