第一章-函數(shù)與極限

第一章函數(shù)與極限1.1函數(shù)的概念1.2初等函數(shù)1.3函數(shù)的極限1.4函數(shù)極限的運算法則1.5函數(shù)的連續(xù)性

第一章函數(shù)與極限ppt課件1.函數(shù)的概念及表示.

2.函數(shù)的性質(zhì).教學重點1．1函數(shù)的概念教學目標函數(shù)的性質(zhì)教學難點數(shù)形結(jié)合教學方法節(jié)菜單1.了解集合的概念，了解數(shù)集及表示方法，了解鄰域的概念；2.理解函數(shù)的概念及其表示方法；3.理解函數(shù)的幾個性質(zhì)；4.了解反函數(shù)的概念，并認識反三角函數(shù)1.1函數(shù)的概念1.2初等函數(shù)1.3函數(shù)的極限1.4函數(shù)極限的運算法則1.5函數(shù)的連續(xù)性第一章函數(shù)與極限ppt課件節(jié)菜單1．1函數(shù)的概念1.1函數(shù)的概念1.2初等函數(shù)1.3函數(shù)的極限1.4函數(shù)極限的運算法則1.5函數(shù)的連續(xù)性第一章函數(shù)與極限ppt課件節(jié)菜單1．1函數(shù)的概念1.1函數(shù)的概念1.2初等函數(shù)1.3函數(shù)的極限1.4函數(shù)極限的運算法則1.5函數(shù)的連續(xù)性第一章函數(shù)與極限ppt課件節(jié)菜單1．1函數(shù)的概念1.1函數(shù)的概念1.2初等函數(shù)1.3函數(shù)的極限1.4函數(shù)極限的運算法則1.5函數(shù)的連續(xù)性第一章函數(shù)與極限ppt課件1．1函數(shù)的概念節(jié)菜單1.1函數(shù)的概念1.2初等函數(shù)1.3函數(shù)的極限1.4函數(shù)極限的運算法則1.5函數(shù)的連續(xù)性第一章函數(shù)與極限ppt課件節(jié)菜單1．1函數(shù)的概念1.1函數(shù)的概念1.2初等函數(shù)1.3函數(shù)的極限1.4函數(shù)極限的運算法則1.5函數(shù)的連續(xù)性第一章函數(shù)與極限ppt課件節(jié)菜單反函數(shù)1．1函數(shù)的概念1.1函數(shù)的概念1.2初等函數(shù)1.3函數(shù)的極限1.4函數(shù)極限的運算法則1.5函數(shù)的連續(xù)性第一章函數(shù)與極限ppt課件例題解析節(jié)菜單1．1函數(shù)的概念1.1函數(shù)的概念1.2初等函數(shù)1.3函數(shù)的極限1.4函數(shù)極限的運算法則1.5函數(shù)的連續(xù)性第一章函數(shù)與極限ppt課件節(jié)菜單1．1函數(shù)的概念1.1函數(shù)的概念1.2初等函數(shù)1.3函數(shù)的極限1.4函數(shù)極限的運算法則1.5函數(shù)的連續(xù)性第一章函數(shù)與極限ppt課件節(jié)菜單1．1函數(shù)的概念1.1函數(shù)的概念1.2初等函數(shù)1.3函數(shù)的極限1.4函數(shù)極限的運算法則1.5函數(shù)的連續(xù)性第一章函數(shù)與極限ppt課件函數(shù)的性質(zhì)節(jié)菜單1．1函數(shù)的概念1.1函數(shù)的概念1.2初等函數(shù)1.3函數(shù)的極限1.4函數(shù)極限的運算法則1.5函數(shù)的連續(xù)性第一章函數(shù)與極限ppt課件節(jié)菜單1．1函數(shù)的概念1.1函數(shù)的概念1.2初等函數(shù)1.3函數(shù)的極限1.4函數(shù)極限的運算法則1.5函數(shù)的連續(xù)性第一章函數(shù)與極限ppt課件節(jié)菜單1．1函數(shù)的概念1.1函數(shù)的概念1.2初等函數(shù)1.3函數(shù)的極限1.4函數(shù)極限的運算法則1.5函數(shù)的連續(xù)性第一章函數(shù)與極限ppt課件節(jié)菜單1．1函數(shù)的概念1.1函數(shù)的概念1.2初等函數(shù)1.3函數(shù)的極限1.4函數(shù)極限的運算法則1.5函數(shù)的連續(xù)性第一章函數(shù)與極限ppt課件復合函數(shù)的定義與分解教學難點邊講邊練法

教學方法1.基本初等函數(shù)的定義、圖像與性質(zhì)2.復合函數(shù)的定義與分解

教學重點節(jié)菜單1.掌握基本初等函數(shù)的定義,熟悉它們的圖像和性質(zhì).2.理解復合函數(shù)與初等函數(shù)的定義,會進行復合函數(shù)的分解.教學目標1.1函數(shù)的概念1.2初等函數(shù)1.3函數(shù)的極限1.4函數(shù)極限的運算法則1.5函數(shù)的連續(xù)性1．2初等函數(shù)第一章函數(shù)與極限ppt課件1．2初等函數(shù)節(jié)菜單1.1函數(shù)的概念1.2初等函數(shù)1.3函數(shù)的極限1.4函數(shù)極限的運算法則1.5函數(shù)的連續(xù)性第一章函數(shù)與極限ppt課件節(jié)菜單基本初等函數(shù)常數(shù)函數(shù)、冪函數(shù)、指數(shù)函數(shù)、對數(shù)函數(shù)、三角函數(shù)和反三角函數(shù)統(tǒng)稱為基本初等函數(shù)

.現(xiàn)將常見基本初等函數(shù)的定義域、值域、圖像和性質(zhì)列表如下:1．2初等函數(shù)1.1函數(shù)的概念1.2初等函數(shù)1.3函數(shù)的極限1.4函數(shù)極限的運算法則1.5函數(shù)的連續(xù)性第一章函數(shù)與極限ppt課件節(jié)菜單1．2初等函數(shù)1.1函數(shù)的概念1.2初等函數(shù)1.3函數(shù)的極限1.4函數(shù)極限的運算法則1.5函數(shù)的連續(xù)性第一章函數(shù)與極限ppt課件節(jié)菜單1．2初等函數(shù)1.1函數(shù)的概念1.2初等函數(shù)1.3函數(shù)的極限1.4函數(shù)極限的運算法則1.5函數(shù)的連續(xù)性第一章函數(shù)與極限ppt課件節(jié)菜單1．2初等函數(shù)1.1函數(shù)的概念1.2初等函數(shù)1.3函數(shù)的極限1.4函數(shù)極限的運算法則1.5函數(shù)的連續(xù)性第一章函數(shù)與極限ppt課件節(jié)菜單1.1函數(shù)的概念1.2初等函數(shù)1.3函數(shù)的極限1.4函數(shù)極限的運算法則1.5函數(shù)的連續(xù)性1．2初等函數(shù)第一章函數(shù)與極限ppt課件節(jié)菜單1．2初等函數(shù)1.1函數(shù)的概念1.2初等函數(shù)1.3函數(shù)的極限1.4函數(shù)極限的運算法則1.5函數(shù)的連續(xù)性第一章函數(shù)與極限ppt課件節(jié)菜單1．2初等函數(shù)1.1函數(shù)的概念1.2初等函數(shù)1.3函數(shù)的極限1.4函數(shù)極限的運算法則1.5函數(shù)的連續(xù)性第一章函數(shù)與極限ppt課件節(jié)菜單1.1函數(shù)的概念1.2初等函數(shù)1.3函數(shù)的極限1.4函數(shù)極限的運算法則1.5函數(shù)的連續(xù)性復合函數(shù)想一想：是不是任何兩個函數(shù)都可以復合成一個復合函數(shù)?請舉例說明.y=3x是復合函數(shù)嗎？1．2初等函數(shù)第一章函數(shù)與極限ppt課件節(jié)菜單例題解析1．2初等函數(shù)1.1函數(shù)的概念1.2初等函數(shù)1.3函數(shù)的極限1.4函數(shù)極限的運算法則1.5函數(shù)的連續(xù)性第一章函數(shù)與極限ppt課件節(jié)菜單1．2初等函數(shù)1.1函數(shù)的概念1.2初等函數(shù)1.3函數(shù)的極限1.4函數(shù)極限的運算法則1.5函數(shù)的連續(xù)性第一章函數(shù)與極限ppt課件1．2初等函數(shù)節(jié)菜單1.1函數(shù)的概念1.2初等函數(shù)1.3函數(shù)的極限1.4函數(shù)極限的運算法則1.5函數(shù)的連續(xù)性第一章函數(shù)與極限ppt課件1．2初等函數(shù)節(jié)菜單1.1函數(shù)的概念1.2初等函數(shù)1.3函數(shù)的極限1.4函數(shù)極限的運算法則1.5函數(shù)的連續(xù)性第一章函數(shù)與極限ppt課件1．3函數(shù)的極限1.函數(shù)極限的概念2.無窮小的概念教學難點講授法教學方法1.函數(shù)極限的概念2.無窮小與無窮大的概念

教學重點節(jié)菜單

1.了解數(shù)列極限的含義;2.理解函數(shù)極限的概念,了解函數(shù)左、右極限的概念及其簡單的計算3.了解無窮小與無窮大的概念,會用無窮小的性質(zhì)求極限,知道一些等價無窮小,會用等價無窮小代換求極限

教學目標1.1函數(shù)的概念1.2初等函數(shù)1.3函數(shù)的極限1.4函數(shù)極限的運算法則1.5函數(shù)的連續(xù)性第一章函數(shù)與極限ppt課件節(jié)菜單1．3函數(shù)的極限1.1函數(shù)的概念1.2初等函數(shù)1.3函數(shù)的極限1.4函數(shù)極限的運算法則1.5函數(shù)的連續(xù)性第一章函數(shù)與極限ppt課件數(shù)列的極限節(jié)菜單1．3函數(shù)的極限1.1函數(shù)的概念1.2初等函數(shù)1.3函數(shù)的極限1.4函數(shù)極限的運算法則1.5函數(shù)的連續(xù)性第一章函數(shù)與極限ppt課件節(jié)菜單例題解析由左表可以看出1．3函數(shù)的極限1.1函數(shù)的概念1.2初等函數(shù)1.3函數(shù)的極限1.4函數(shù)極限的運算法則1.5函數(shù)的連續(xù)性第一章函數(shù)與極限ppt課件節(jié)菜單1．3函數(shù)的極限1.1函數(shù)的概念1.2初等函數(shù)1.3函數(shù)的極限1.4函數(shù)極限的運算法則1.5函數(shù)的連續(xù)性第一章函數(shù)與極限ppt課件節(jié)菜單函數(shù)的極限由上述極限的定義,不難得到結(jié)論:1．3函數(shù)的極限1.1函數(shù)的概念1.2初等函數(shù)1.3函數(shù)的極限1.4函數(shù)極限的運算法則1.5函數(shù)的連續(xù)性第一章函數(shù)與極限ppt課件例題解析節(jié)菜單1．3函數(shù)的極限1.1函數(shù)的概念1.2初等函數(shù)1.3函數(shù)的極限1.4函數(shù)極限的運算法則1.5函數(shù)的連續(xù)性第一章函數(shù)與極限ppt課件節(jié)菜單1．3函數(shù)的極限1.1函數(shù)的概念1.2初等函數(shù)1.3函數(shù)的極限1.4函數(shù)極限的運算法則1.5函數(shù)的連續(xù)性第一章函數(shù)與極限ppt課件節(jié)菜單1．3函數(shù)的極限1.1函數(shù)的概念1.2初等函數(shù)1.3函數(shù)的極限1.4函數(shù)極限的運算法則1.5函數(shù)的連續(xù)性第一章函數(shù)與極限ppt課件節(jié)菜單1．3函數(shù)的極限1.1函數(shù)的概念1.2初等函數(shù)1.3函數(shù)的極限1.4函數(shù)極限的運算法則1.5函數(shù)的連續(xù)性第一章函數(shù)與極限ppt課件節(jié)菜單1．3函數(shù)的極限1.1函數(shù)的概念1.2初等函數(shù)1.3函數(shù)的極限1.4函數(shù)極限的運算法則1.5函數(shù)的連續(xù)性第一章函數(shù)與極限ppt課件例題解析節(jié)菜單1．3函數(shù)的極限1.1函數(shù)的概念1.2初等函數(shù)1.3函數(shù)的極限1.4函數(shù)極限的運算法則1.5函數(shù)的連續(xù)性第一章函數(shù)與極限ppt課件節(jié)菜單1．3函數(shù)的極限1.1函數(shù)的概念1.2初等函數(shù)1.3函數(shù)的極限1.4函數(shù)極限的運算法則1.5函數(shù)的連續(xù)性第一章函數(shù)與極限ppt課件節(jié)菜單1．3函數(shù)的極限1.1函數(shù)的概念1.2初等函數(shù)1.3函數(shù)的極限1.4函數(shù)極限的運算法則1.5函數(shù)的連續(xù)性第一章函數(shù)與極限ppt課件1．3函數(shù)的極限節(jié)菜單1.1函數(shù)的概念1.2初等函數(shù)1.3函數(shù)的極限1.4函數(shù)極限的運算法則1.5函數(shù)的連續(xù)性第一章函數(shù)與極限ppt課件1．3函數(shù)的極限節(jié)菜單1.1函數(shù)的概念1.2初等函數(shù)1.3函數(shù)的極限1.4函數(shù)極限的運算法則1.5函數(shù)的連續(xù)性第一章函數(shù)與極限ppt課件1．3函數(shù)的極限節(jié)菜單例題解析1.1函數(shù)的概念1.2初等函數(shù)1.3函數(shù)的極限1.4函數(shù)極限的運算法則1.5函數(shù)的連續(xù)性第一章函數(shù)與極限ppt課件1．3函數(shù)的極限節(jié)菜單1.1函數(shù)的概念1.2初等函數(shù)1.3函數(shù)的極限1.4函數(shù)極限的運算法則1.5函數(shù)的連續(xù)性第一章函數(shù)與極限ppt課件1．3函數(shù)的極限節(jié)菜單1.1函數(shù)的概念1.2初等函數(shù)1.3函數(shù)的極限1.4函數(shù)極限的運算法則1.5函數(shù)的連續(xù)性第一章函數(shù)與極限ppt課件用兩個重要極限求函數(shù)極限教學難點講練結(jié)合法教學方法1.4函數(shù)極限的運算法則節(jié)菜單

極限的四則運算法則教學重點1.掌握極限的四則運算法則．2.掌握用兩個重要極限求函數(shù)極限的方法．教學目標1.1函數(shù)的概念1.2初等函數(shù)1.3函數(shù)的極限1.4函數(shù)極限的運算法則1.5函數(shù)的連續(xù)性第一章函數(shù)與極限ppt課件節(jié)菜單1.4函數(shù)極限的運算法則1.1函數(shù)的概念1.2初等函數(shù)1.3函數(shù)的極限1.4函數(shù)極限的運算法則1.5函數(shù)的連續(xù)性第一章函數(shù)與極限ppt課件節(jié)菜單函數(shù)極限的四則運算法則1.4函數(shù)極限的運算法則1.1函數(shù)的概念1.2初等函數(shù)1.3函數(shù)的極限1.4函數(shù)極限的運算法則1.5函數(shù)的連續(xù)性第一章函數(shù)與極限ppt課件例題解析節(jié)菜單1.4函數(shù)極限的運算法則1.1函數(shù)的概念1.2初等函數(shù)1.3函數(shù)的極限1.4函數(shù)極限的運算法則1.5函數(shù)的連續(xù)性第一章函數(shù)與極限ppt課件例題解析節(jié)菜單1.4函數(shù)極限的運算法則1.1函數(shù)的概念1.2初等函數(shù)1.3函數(shù)的極限1.4函數(shù)極限的運算法則1.5函數(shù)的連續(xù)性第一章函數(shù)與極限ppt課件節(jié)菜單1.4函數(shù)極限的運算法則1.1函數(shù)的概念1.2初等函數(shù)1.3函數(shù)的極限1.4函數(shù)極限的運算法則1.5函數(shù)的連續(xù)性第一章函數(shù)與極限ppt課件1.4函數(shù)極限的運算法則節(jié)菜單1.1函數(shù)的概念1.2初等函數(shù)1.3函數(shù)的極限1.4函數(shù)極限的運算法則1.5函數(shù)的連續(xù)性第一章函數(shù)與極限ppt課件節(jié)菜單1.4函數(shù)極限的運算法則1.1函數(shù)的概念1.2初等函數(shù)1.3函數(shù)的極限1.4函數(shù)極限的運算法則1.5函數(shù)的連續(xù)性第一章函數(shù)與極限ppt課件節(jié)菜單1.4函數(shù)極限的運算法則復合函數(shù)的極限運算例題解析1.1函數(shù)的概念1.2初等函數(shù)1.3函數(shù)的極限1.4函數(shù)極限的運算法則1.5函數(shù)的連續(xù)性第一章函數(shù)與極限ppt課件節(jié)菜單1.4函數(shù)極限的運算法則1.1函數(shù)的概念1.2初等函數(shù)1.3函數(shù)的極限1.4函數(shù)極限的運算法則1.5函數(shù)的連續(xù)性第一章函數(shù)與極限ppt課件節(jié)菜單1.4函數(shù)極限的運算法則1.1函數(shù)的概念1.2初等函數(shù)1.3函數(shù)的極限1.4函數(shù)極限的運算法則1.5函數(shù)的連續(xù)性第一章函數(shù)與極限ppt課件節(jié)菜單1.4函數(shù)極限的運算法則例題解析1.1函數(shù)的概念1.2初等函數(shù)1.3函數(shù)的極限1.4函數(shù)極限的運算法則1.5函數(shù)的連續(xù)性第一章函數(shù)與極限ppt課件節(jié)菜單1.4函數(shù)極限的運算法則例題解析1.1函數(shù)的概念1.2初等函數(shù)1.3函數(shù)的極限1.4函數(shù)極限的運算法則1.5函數(shù)的連續(xù)性第一章函數(shù)與極限ppt課件節(jié)菜單1.4函數(shù)極限的運算法則1.1函數(shù)的概念1.2初等函數(shù)1.3函數(shù)的極限1.4函數(shù)極限的運算法則1.5函數(shù)的連續(xù)性第一章函數(shù)與極限ppt課件節(jié)菜單1.4函數(shù)極限的運算法則1.1函數(shù)的概念1.2初等函數(shù)1.3函數(shù)的極限1.4函數(shù)極限的運算法則1.5函數(shù)的連續(xù)性第一章函數(shù)與極限ppt課件節(jié)菜單1.4函數(shù)極限的運算法則無窮小的比較1.1函數(shù)的概念1.2初等函數(shù)1.3函數(shù)的極限1.4函數(shù)極限的運算法則1.5函數(shù)的連續(xù)性第一章函數(shù)與極限ppt課件節(jié)菜單1.4函數(shù)極限的運算法則例題解析1.1函數(shù)的概念1.2初等函數(shù)1.3函數(shù)的極限1.4函數(shù)極限的運算法則1.5函數(shù)的連續(xù)性第一章函數(shù)與極限ppt課件節(jié)菜單1.4函數(shù)極限的運算法則1.1函數(shù)的概念1.2初等函數(shù)1.3函數(shù)的極限1.4函數(shù)極限的運算法則1.5函數(shù)的連續(xù)性第一章函數(shù)與極限ppt課件節(jié)菜單*1.5函數(shù)的連續(xù)性1.函數(shù)的連續(xù)的定義.

2.閉區(qū)間上連續(xù)函數(shù)的性質(zhì).教學重點函數(shù)的間斷點的判定教學難點數(shù)形結(jié)合教學方法教學目標

1.理解函數(shù)的連續(xù)的定義和初等函數(shù)連續(xù)性的概念;2.理解函數(shù)的間斷點，會求一些簡單函數(shù)的間斷點;3.熟悉閉區(qū)間上連續(xù)函數(shù)的性質(zhì)。1.1函數(shù)的概念1.2初等函數(shù)1.3函數(shù)的極限1.4函數(shù)極限的運算法則1.5函數(shù)的連續(xù)性第一章函數(shù)與極限ppt課件節(jié)菜單*1.5函數(shù)的連續(xù)性1.1函數(shù)的概念1.2初等函數(shù)1.3函數(shù)的極限1.4函數(shù)極限的運算法則1.5函數(shù)的連續(xù)性第一章函數(shù)與極限ppt課件節(jié)菜單*1.5函數(shù)的連續(xù)性1.1函數(shù)的概念1.2初等函數(shù)1.3函數(shù)的極限1.4函數(shù)極限的運算法則1.5函數(shù)的連續(xù)性第一章函數(shù)與極限ppt課件節(jié)菜單*1.5函數(shù)的連續(xù)性1.1函數(shù)的概念1.2初等函數(shù)1.3函數(shù)的極限1.4函數(shù)極限的運算法則1.5函數(shù)的連續(xù)性第一章函數(shù)與極限ppt課件節(jié)菜單*1.5函數(shù)的連續(xù)性1.1函數(shù)的概念1.2初等函數(shù)1.3函數(shù)的極限1.4函數(shù)極限的運算法則1.5函數(shù)的連續(xù)性第一章函數(shù)與極限ppt課件節(jié)菜單*1.5函數(shù)的連續(xù)性例題解析1.1函數(shù)的概念1.2初等函數(shù)1.3函數(shù)的極限1.4函數(shù)極限的運算法則1.5函數(shù)的連續(xù)性第一章函數(shù)與極限ppt課件節(jié)菜單*1.5函數(shù)的連續(xù)性1.1函數(shù)的概念1.2初等函數(shù)1.3函數(shù)的極限1.4函數(shù)極限的運算法則1.5函數(shù)的連續(xù)性第一章函數(shù)與極限ppt課件節(jié)菜單*1.5函數(shù)的連續(xù)性1.1函數(shù)的概念1.2初等函數(shù)1.3函數(shù)的極限1.4函數(shù)極限的運算法則1.5函數(shù)的連續(xù)性第一章函數(shù)與極限ppt課件節(jié)菜單*1.5函數(shù)的連續(xù)性1.1函數(shù)的概念1.2初等函數(shù)1.3函數(shù)的極限1.4函數(shù)極限的運算法則1.5函數(shù)的連續(xù)性第一章函數(shù)與極限ppt課件節(jié)菜單*1.5函數(shù)的連續(xù)性1.1函數(shù)的概念1.2初等函數(shù)1.3函數(shù)的極限1.4函數(shù)極限的運算法則1.5函數(shù)的連續(xù)性第一章函數(shù)與極限ppt課件節(jié)菜單*1.5函數(shù)的連續(xù)性1.1函數(shù)的概念1.2初等函數(shù)1.3函數(shù)的極限1.4函數(shù)極限的運算法則1.5函數(shù)的連續(xù)性第一章函數(shù)與極限ppt課件節(jié)菜單*1.5函數(shù)的連續(xù)性1.1函數(shù)的概念1.2初等函數(shù)1.3函數(shù)的極限1.4函數(shù)極限的運算法則1.5函數(shù)的連續(xù)性第一章函數(shù)與極限ppt課件節(jié)菜單*1.5函數(shù)的連續(xù)性1.1函數(shù)的概念1.2初等函數(shù)1.3函數(shù)的極限1.4函數(shù)極限的運算法則1.5函數(shù)的連續(xù)性第一章函數(shù)與極限ppt課件節(jié)菜單*1.5函數(shù)的連續(xù)性1.1函數(shù)的概念1.2初等函數(shù)1.3函數(shù)的極限1.4函數(shù)極限的運算法則1.5函數(shù)的連續(xù)性第一章函數(shù)與極限ppt課件節(jié)菜單*1.5函數(shù)的連續(xù)性例題解析1.1函數(shù)的概念1.2初等函數(shù)1.3函數(shù)的極限1.4函數(shù)極限的運算法則1.5函數(shù)的連續(xù)性第一章函數(shù)與極限ppt課件節(jié)菜單*1.5函數(shù)的連續(xù)性1.1函數(shù)的概念1.2初等函數(shù)1.3函數(shù)的極限1.4函數(shù)極限的運算法則1.5函數(shù)的連續(xù)性第一章函數(shù)與極限ppt課件節(jié)菜單*