356 lines
7.5 KiB
HTML
Executable File
356 lines
7.5 KiB
HTML
Executable File
<!DOCTYPE html>
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<html lang="pt-br">
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<head>
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<meta charset="UTF-8">
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<meta name="viewport" content="width=device-width, initial-scale=1.0">
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<title>Figura 2.5: Ângulo hiperbólico de medida positiva</title>
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<script type="text/javascript" charset="UTF-8"
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src="../scripts/jsxgraph/jsxgraphcore.js"></script>
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<link rel="stylesheet" type="text/css" href="../scripts/jsxgraph/jsxgraph.css" />
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<link rel="preconnect" href="https://fonts.gstatic.com">
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<script type="text/x-mathjax-config">
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MathJax.Hub.Config({
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extensions: ["tex2jax.js","TeX/AMSmath.js","TeX/AMSsymbols.js"],
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jax: ["input/TeX", "output/HTML-CSS"],
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tex2jax: {
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inlineMath: [ ['$','$'], ["\\(","\\)"] ],
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displayMath: [ ['$$','$$'], ["\\[","\\]"] ],
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},
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"HTML-CSS": { availableFonts: ["TeX"] }
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});
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</script>
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<script type="text/javascript" async
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src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.7/MathJax.js?config=TeX-MML-AM_CHTML">
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</script>
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<script async src="https://www.googletagmanager.com/gtag/js?id=G-G6VT93GC1X"></script>
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<script type="text/javascript" >
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var head = document.getElementsByTagName('head')[0];
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var js = document.createElement("script");
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js.type = "text/javascript";
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if ( window.location !== window.parent.location ) {
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//carregado em um iframe
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var url = window.top.location.href;
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if (url){
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var arr = url.split('/');
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var dominio = arr[2];
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if (dominio == "www.livro.online" || dominio == "livro.online"){
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console.log('Iframe carregado no domínio de origem');
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} else {
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js.innerHTML = `
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window.dataLayer = window.dataLayer || [];
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function gtag(){dataLayer.push(arguments);}
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gtag('js', new Date());
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gtag('config', 'G-G6VT93GC1X');
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`
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}
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} else {
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js.innerHTML = `
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window.dataLayer = window.dataLayer || [];
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function gtag(){dataLayer.push(arguments);}
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gtag('js', new Date());
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gtag('config', 'G-G6VT93GC1X');
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`
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}
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} else {
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//não foi carregado em um iframe
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js.innerHTML = `
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window.dataLayer = window.dataLayer || [];
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function gtag(){dataLayer.push(arguments);}
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gtag('js', new Date());
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gtag('config', 'G-G6VT93GC1X');
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`
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}
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head.appendChild(js);
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</script>
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<style>
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@media(max-width:768px){
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.wide {display:none;}
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.mobilefont {font-size:0.8em;}
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}
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@media(min-width:768px){
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.tight {display:none;}
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}
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html {
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overflow: hidden;
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max-width: 2000px;
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}
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.jxgbox {
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border-color: #85b8ec96;
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}
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.wrap600 {
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break-inside: avoid-column;
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overflow: hidden;
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}
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#jxgbox {
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height:0;
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width: 99%;
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padding-bottom: 40%;
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}
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.trigonometria_legenda {
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font-family: gfs_artemisia;
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margin: 12px auto 20px auto;
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max-width: 450px;
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text-align: center;
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}
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span.centro {
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display: block;
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text-align: center;
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margin: 10px 0px
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}
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.trigonometria_legenda p {
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text-align: center;
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font-size: 12px !important;
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margin-top: 7px !important;
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margin-bottom: 7px !important;
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}
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@font-face {
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font-family: 'gfs_artemisia';
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src: url('../gfs_artemisia/GFSArtemisia.otf') format('opentype'),
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url('../gfs_artemisia/GFSArtemisia.ttf') format('trutype');
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}
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body{
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margin: 0;
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padding: 0;
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}
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h1 {
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font-size: 28pt;
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text-align: left;
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margin-bottom: 43px;
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}
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h2 {
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font-size: 14pt;
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text-align: left;
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margin-top: 30px;
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}
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</style>
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</head>
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<body>
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<div class="wrap600 ">
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<div id="jxgbox" class="jxgbox" ></div>
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</div>
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<div class="trigonometria_legenda">
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<span><strong>Figura 2.5</strong>: Ângulo hiperbólico de medida positiva.</span>
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<p>*Arraste o ponto A.</p>
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</div>
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<script type="text/javascript">
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JXG.Options.text.useMathJax = true;
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JXG.Options.renderer = 'canvas';
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JXG.Options.text.cssDefaultStyle = 'fontFamily:arial';
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var board = JXG.JSXGraph.initBoard('jxgbox', {showCopyright: false, boundingbox: [-0.5, 2.5, 5.5, -2.5], axis: true, keepAspectRatio: true});
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var fpos = board.create('functiongraph',
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[function(x){
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return Math.sqrt(x**2 - 1);
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}, 1, 12]
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);
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var fneg = board.create('functiongraph',
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[function(x){
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return -Math.sqrt(x**2 - 1);
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}, 1, 12]
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);
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var o = board.create('point',[0,0], {name:"O", size:"1", fixed: true, label:{autoPosition: true, offset:[-15, -15]}});
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var a = board.create('point',[1.5, Math.sqrt(1.5**2 - 1)], {name:"A", size:"1", showInfobox: false, color:'#00ff00'});
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var v = board.create('point',[1,0], {name:"V", size:"1", fixed: true, label:{autoPosition: true, offset:[10, -15]}});
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var ca = a.Y()/a.X(); //coeficiente angular de uma reta que passa pela origem (abaixo no borad.om('move') garantimos que a.X() nunca é zero)
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var txt = board.create('point', [function(){return a.X()+0.2}, function(){return a.Y()/2}], { visible: false, label:{visible: true}, name: 'Área = $\\frac{u}{2}$'})
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var SegOA = board.create('functiongraph', [function(x){
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return ca*x;
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}, 0, function(){return a.X();}]);
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var hippos = board.create('functiongraph', [function(x){ return Math.sqrt(x**2-1);}, 1, function(){ return a.X();}]);
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var regiaoPintada = board.create('curve', [[], []], {strokeWidth:1, fillColor:'#111', fillOpacity: 0.6});
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regiaoPintada.updateDataArray = function() {
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// Ponto inicial (0, 0)
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this.dataX = [0];
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this.dataY = [0];
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// Todos os pontos da parte positiva da hipérbole segmento OA
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this.dataX = this.dataX.concat( hippos.points.map( p => p.usrCoords[1] ) );
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this.dataY = this.dataY.concat( hippos.points.map( p => p.usrCoords[2] ) );
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// Fecha a curva com o ponto inicial (0,0)
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this.dataX.push(0);
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this.dataY.push(0);
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};
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board.on('move', function(){
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if(a.X() <= 1){
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a.moveTo([1, 0]);
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ca = a.Y()/a.X();
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} else {
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a.moveTo([a.X(), Math.sqrt(a.X()**2 - 1)]);
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ca = a.Y()/a.X();
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}
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});
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board.update();
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//Comando para deixar responsivo (OBS.: Só isso não basta, precisa o css também estar configurado)
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var resize = function () {
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board.resizeContainer(board.containerObj.clientWidth, board.containerObj.clientHeight, true);
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board.fullUpdate();
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};
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window.onresize = resize;
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</script>
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</body>
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</html> |