![投影机中的图像和文本](https://linux22.com/image/440069/%E6%8A%95%E5%BD%B1%E6%9C%BA%E4%B8%AD%E7%9A%84%E5%9B%BE%E5%83%8F%E5%92%8C%E6%96%87%E6%9C%AC.png)
\begin{frame}{Phương trình $\sin x=m$}\pause
\begin{minipage}{0.7\textwidth}
\begin{itemize}
\item Khi $|m|>1$ thì phương trình $\sin x=m$ vô nghiệm.\pause
\item Khi $|m|\leq 1$ thì phương trình $\sin x=m$ có nghiệm.\\ \pause
Nếu $\alpha$ là một nghiệm của phương trình $\sin x=m$, nghĩa là $\sin \alpha=m$, thì\pause
\[\boxed{\sin x=m \Leftrightarrow \sin x=\sin \alpha \pause \Leftrightarrow \left[\begin{aligned}&x=\alpha+k2\pi, k\in\mathbb{Z} \pause \\&x=\pi-\alpha+k2\pi,k\in\mathbb{Z}.\end{aligned}\right.}\]
\end{itemize}
\end{minipage}
\begin{minipage}{0.3\textwidth}
\begin{tikzpicture}[scale=.8,font=\footnotesize,line cap=round,line join=round,>=stealth]
\def\r{1.5}
\draw[->] ({-\r-.5},0)--({\r+.5},0) node[below]{$x$};
\draw[->] (0,{-\r-.5})--(0,{\r+1}) node[right]{$y$};
\path (0,0) coordinate(O) (40:\r) coordinate(M) (140:\r) coordinate(M') (0,{\r+.5}) coordinate(N) (0,{\r*sin(40)}) coordinate(K);
\draw (O) circle(\r) (O)--(M)--(M')--cycle ({-\r-.5},{\r+.5})--({\r+.5},{\r+.5});
\fill (\r,0) circle(1pt) node[shift={(40:.2)}]{$1$} (0,\r) circle(1pt) node[shift={(135:.2)}]{$1$} (-\r,0) circle(1pt) node[shift={(220:.25)}]{$-1$} (0,-\r) circle(1pt) node[shift={(-45:.25)}]{$-1$} (N) circle(1pt);
\foreach \d/\g in {O/-135, M/40, M'/140, K/45} \fill (\d) circle(1pt) node[shift={(\g:.3)}]{$\d$};
\draw[->] (0:.3) arc (0:140:.3);
\draw[->] (0:.4) arc (0:40:.4);
\path (15:.6) node{$\alpha$} (0,{\r+1}) node[left]{$\sin$} ({\r+.5},0) node[right]{$\cos$};
\end{tikzpicture}
\end{minipage}
\end{frame}
我想让右侧的图像位于左侧的文本之前,该怎么做?
答案1
该选项[handout]
忽略所有\pause
命令。因此,当您想要使用时,只需删除该选项\pause
。我重新排列文本,并清理您的 TikZ 代码(单位圆半径为 1;要缩小,只需[scale]
对整个 TikZ 图片使用。越简单越好!)。环境flushright
使图形位于右侧minipage
。
\documentclass[handout]{beamer}
% removing [handout] to use \pause
\usepackage{tikz}
\begin{document}
\begin{frame}[t]{$\sin x=m$}\pause
\begin{minipage}{0.5\textwidth}
\begin{itemize}
\item If $|m|>1$ then $\sin x=m$ has no solution.\pause\\[5mm]
\item If $|m|\leq 1$ then $\sin x=m$ has several solutions.\\ \pause
\end{itemize}
\end{minipage}\hfill
\begin{minipage}{0.5\textwidth}
\begin{flushright}
\begin{tikzpicture}[scale=1.5,>=stealth]
\draw[->] (-1.5,0)--(1.5,0) node[above]{$\cos$};
\draw[->] (0,-1.5)--(0,1.5) node[right]{$\sin$};
\def\goc{40}
\path
(0,0) coordinate (O) node[below left]{$O$}
(\goc:1) coordinate (M) node[above right,red]{$\alpha$}
(180-\goc:1) coordinate (M') node[above left,red]{$\pi-\alpha$}
(1,0) node[below right]{$1$}
(-1,0) node[below left]{$-1$}
(0,1) node[above left]{$1$}
(0,-1) node[below left]{$-1$}
;
\draw[teal,thick] (O) circle(1);
\draw[gray] (O)--(M)--(M')--cycle;
\foreach \p in {M,M'} \fill[red] (\p) circle(1pt);
\end{tikzpicture}
\end{flushright}
\end{minipage}
Assume that $\alpha$ is a solution of $\sin x=m$, that is, $\sin \alpha=m$. Then \pause
\[\boxed{\sin x=m \Leftrightarrow \sin x=\sin \alpha \pause
\Leftrightarrow
\left[
\begin{aligned}
&x={\color{red}\alpha}+k2\pi, \quad k\in\mathbb{Z} \\ \pause
&x={\color{red}\pi-\alpha}+k2\pi,\quad k\in\mathbb{Z}.
\end{aligned}
\right.}
\]
\end{frame}
\end{document}