% 黒板風beamarスライド（iPad 書き込み用）サンプル
%%2020年10月17日土曜日11:16:17 by Tomoki Kawahira 
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\title{微分積分学}
\subtitle{第1回 写像と関数 / 1-3 初等関数}
\author{〇〇〇〇}
\institute[] 
{
〇〇大学〇〇学部〇〇科
}
\date{
%2020年度・第1クォーター
}
%-------------THEME-----------------
%------------- 黒板色テーマモード by Hiroyuki Inou 
% The original is currently available at
% https://www.math.kyoto-u.ac.jp/~inou/files/beamercolorthemeblackboard.sty
%------ここから-----------------------------------------
%% beamercolorthemeblackboard.sty
%% Copyright 2020 Hiroyuki Inou
%
% This work may be distributed and/or modified under the
% conditions of the LaTeX Project Public License, either version 1.3
% of this license or (at your option) any later version.
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%
% This work has the LPPL maintenance status `maintained'.
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%

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%------------- 黒板色テーマ by Hiroyuki Inou ------ここまで

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%crane 黄色
%rose ?
%beaver グレー＋赤
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%-------
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{graphicx}
\usepackage{enumerate}
\usepackage{amscd}
\usepackage{amsfonts}
\usepackage{theorem}
\usepackage{color}
\usepackage[english, japanese]{babel}
\usepackage{times}
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%--------Colored Texts------------
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%--------COLORED ITALIC------------
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% Delete this, if you do not want the table of contents to pop up at
% the beginning of each subsection:

\if0
\AtBeginSubsection[]
{
  \begin{frame}<beamer>
    \frametitle{Outline}
    \tableofcontents[currentsection,currentsubsection]
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% If you wish to uncover everything in a step-wise fashion, uncomment
% the following command: 

%\beamerdefaultoverlayspecification{<+->}


\begin{document}

%-------TITLE PAGE---------
\begin{frame}
  \titlepage
\end{frame}

%---------------Section-----------
\begin{frame}
\begin{block}{}
\begin{center}
{\Large \yel{初等関数}}
\\\red{[目標]}
\begin{itemize}
\item
連続関数の具体例として，
高校で学んだ\yel{初等関数}について復習する．
\item
三角関数の「逆関数」にあたるものとして，\\
\yel{逆三角関数}を導入する．
\end{itemize}
\end{center}
\end{block}

\end{frame}

%-------------------------------------------------
\begin{frame}[t]
\frametitle{初等関数とは}
\begin{itemize}

\item
１．有理関数（多項式関数を含む）
\item
２．指数・対数関数
\item
３．三角関数
\item
４．\yel{逆三角関数 （New!）}
\item
{\footnotesize ５．\yel{（双曲線関数）}}
\end{itemize}
\begin{center}
\end{center}
\end{frame}

%-------------------------------------------------
\begin{frame}[t]
\frametitle{１．有理関数}
\begin{itemize}
\item
多項式 $P(x)$，$Q(x)$ を用いて
$$
y=f(x)=\dfrac{P(x)}{Q(x)}
$$
の形で表される関数を\yelul{有理関数}という． 
\item
有理関数は $Q(x) \neq 0$ を満たす区間で連続．
\item 
例（多項式関数）：$y=C$，$y=Ax^2+Bx+C$ など．
\item
例：$y= \dfrac{1}{x}$，$y= \dfrac{2x^2+3}{x-5}$，$y= \dfrac{1}{x^2+1}$

\end{itemize}
\end{frame}


\end{document}


