國中數學教師甄試-微積分試題之研究

本篇論文主要對國中數學教師甄試題目，針對微積分試題之研究，微積分題目真是千變萬化，也比較無法掌握其技巧，尤其在利用極限和連續、微積分去解題更需要靈惑，但無論如何我們也提供了研究方法，分為羅必達求極限和用連續的定義、微分的幾何意義和應用、配方法及微分求最大(小)值、積分及其應用、數列級數和冪級數(判斷級數收斂和發散)、多變函數的微分(利用方向導數及梯度)、微積分基本運算。而在此研究過程中，微積分題目並不是我們想像中的困難，解法也有其脈絡可循，而研究此論文，讓我對微積分題目不再是無所適從，而有一定思維模式，所以也讓我往後教導學生解微積分題目時，提供了不少的思考模式來教導。

關鍵字

微積分；教師甄試題目

並列摘要

This essay focus on the exam of selecting math teacher in junior high school . Especially pay attention to questions of calculus. Questions about calculus are ever changing, so we can’t handle the skills. In particular, when we use limit, continuous function and calculus to find answers, we need more inspiration. As a result , the research supply methods such as Hopital’s rule to limit, continuous function, the meaning and the application of differential geometry , differential seeking max(min), integral and its Applications, number of columns in series and determine the series converges and diverges, Changing the differential function, The use of directional derivative and gradient, and the basic operation of calculus. In the process of researching, I found that calculus questions are not as difficult as we think. Besides, we have some ways to get the answers to the questions. In addition, by doing the research, I am not afraid calculus questions anymore. Instead, I have the fixed thinking ways. As a result, I will have a lot of thinking ways to instruct students how to get the answers to the calculus questions.