Skip to content
New issue

Have a question about this project? Sign up for a free GitHub account to open an issue and contact its maintainers and the community.

Sign up for GitHub

By clicking “Sign up for GitHub”, you agree to our terms of service and privacy statement. We’ll occasionally send you account related emails.

Already on GitHub? Sign in to your account

sunrise-commit-m3slt-fb #496

Open
wants to merge 2 commits into
base: master
Choose a base branch
from
Open

sunrise-commit-m3slt-fb #496

Changes from all commits
Commits
Show all changes
2 commits
Select commit Hold shift + click to select a range
30797c6
sunrise-commit-m3slt-fb
wangmingsunrise Sep 18, 2015
f10d7c3
hints 修改
wangmingsunrise Sep 18, 2015
File filter

Filter by extension

Filter by extension
Conversations
Failed to load comments.
Loading
Jump to
Jump to file
Failed to load files.
Loading
Diff view
Diff view
119 changes: 119 additions & 0 deletions exercises/m3slt-fb.html
View file
Open in desktop
Original file line number Diff line number Diff line change
@@ -0,0 +1,119 @@
<!DOCTYPE html>
<html data-require="math graphie graphie-helpers-arithmetic">
<head>
<meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
<title>四角柱的表面積</title>
<script src="../khan-exercise.js"></script>
<style type="text/css">
#answer_area .short input[type=text] {
width: 30px;
}
</style>
</head>
<body>
<div class="exercise">
<div class="problems">
<div id="case1">
<div class="vars" data-ensure=" B &gt; 2 &amp;&amp; abs( A - C ) &gt; 2 ">
<var id="D"> randRange( 5, 10 ) </var>
<var id="B"> randRange( 1, D - 1 ) </var>
<var id="A, C"> randRangeUnique( 4, 11, 2 ) </var>
<var id="E"> randRange( 5, 10 ) </var>
<var id="F"> ( A + C ) * B </var>
<var id="G"> ( A + C + 2 * D ) * E </var>
<var id="ANSWER"> F + G </var>
</div>

<div class="question">
<div class="problem">
<p>試算下列四角柱的表面積。</p>
<div class="graphie">
init( { range : [ [ -10, 10 ], [ -9, -7 + E + B / 2 + 2 ] ], scale : 20 } );
path( [ [ -5, -7 ], [ -5, -7 + E ], [ -5 + A, -7 + E ], [ -5 + A, -7 ], [ -5, -7 ] ], { fill : "#A6FFA6", opacity : 0.9 } );
path( [ [ -5, -7 + E ], [ -5 + A / 2 - C / 2, -7 + E + B / 2 ], [ -5 + A / 2 + C / 2, -7 + E + B / 2 ], [ -5 + A, -7 + E ], [ -5 , -7 + E ] ], { fill : "#A6FFA6" } );
if( A &lt; C ) {
path( [ [ -5, -7 ], [ -5, -7 + E ], [ -5 + A / 2 - C / 2, -7 + E + B / 2 ], [ -5 + A / 2 - C / 2, -7 + B / 2 ], [ -5, -7 ] ], { fill : "#A6FFA6", opacity : 0.75 } );
path( [ [ -5 + A, -7 ], [ -5 + A, -7 + E ], [ -5 + A / 2 + C / 2, -7 + E + B / 2 ], [ -5 + A / 2 + C / 2, -7 + B / 2 ], [ -5 + A, -7 ] ], { fill : "#A6FFA6", opacity : 0.75 } );
}
line( [ -5 + A / 2, -7 + E ], [ -5 + A / 2, -7 + E + B / 2 ], { "stroke-dasharray" : "-", stroke : "orange" } );
label( [ -5 + A / 2 + 0.6, -7 + E + B / 4 ], B, { color : "orange" } );
line( [ -5, -7 + E ], [ -5 + A, -7 + E ], { stroke : "blue" } );
label( [ -5 + A / 2, -7 + E - 0.8 ], A, { color : "blue" } );
line( [ -5 + A, -7 + E ], [ -5 + A, -7 ], { stroke : "green" } );
label( [ -5 + A + 0.5, -7 + E / 2 ], E, { color : "green" } );
line( [ -5 + A / 2 - C / 2, -7 + E + B / 2 ], [ -5 + A / 2 + C / 2, -7 + E + B / 2 ], { stroke : "purple" } );
label( [ -5 + A / 2, -7 + E + B / 2 + 0.6 ], C, { color : "purple" } );
line( [ -5, -7 + E ], [ -5 + A / 2 - C / 2, -7 + E + B / 2 ], { stroke : "red" } );
label( [ -5 + A / 4 - C / 4, -7 + E + B / 4 ], D, A &gt; C ? "above left" : "below left", { color : "red" } );
line( [ -5 + A / 2 + C / 2, -7 + E + B / 2 ], [ -5 + A, -7 + E ], { stroke : "red" } );
label( [ -5 + 3 * A / 4 + C / 4, -7 + E + B / 4 ], D, A &gt; C ? "above right" : "below right", { color : "red" } );
</div>

</div>
</div>

<div class="solution" data-type="multiple">
<span class="sol" data-forms="integer"><var>ANSWER</var></span>平方公分
</div>

<div class="hints">
<div>
<p>上下底的表面積為 </p>
<p><code>\qquad (<var>A</var>+<var>C</var>) \times <var>B</var> \div 2 \times 2 = <var>F</var></code></p>
<p>側面表面積為 </p>
<p><code>\qquad (<var>A</var>+<var>D</var>+<var>C</var>+<var>D</var>) \times <var>E</var> = <var>G</var></code></p>
</div>
<p>四角柱的表面積 <code> = <var>F</var>+<var>G</var> = \color{#FF00AF}{<var>ANSWER</var>}</code> 平方公分</p>
</div>
</div>

<div id="case2">
<div class="vars">
<var id="A, B, C"> randFromArray( [ [ 30, 25, 27 ], [ 20, 14, 13 ], [ 12, 6, 14 ], [ 18, 14, 15 ], [ 24, 12, 17 ] ] ) </var>
<var id="D"> randFromArray( [ 15, 10, 12, 14, 2 ] ) </var>
<var id="E"> A * B * 2 </var>
<var id="F"> ( A + C ) * 2 * D </var>
<var id="ANSWER"> E + F </var>
</div>

<div class="question">
<div class="problem">
<p>試算下列四角柱的表面積。</p>
<div class="graphie">
init( { range : [ [ -10, -8 + C / 4 + D / 2 + 0.86 * A / 2 + 2 ], [ -8, -6 + 0.86 * C / 2 + A / 4 + 2 ] ], scale : 18 } );
path( [ [ -8 + D / 2, -6 ], [ -8 + D / 2 + 0.86 * A / 2, -6 + A / 4 ], [ -8 + C / 4 + D / 2 + 0.86 * A / 2, -6 + 0.86 * C / 2 + A / 4 ], [ -8 + C / 4 + D / 2, -6 + 0.86 * C / 2 ] ], { fill : "#A6FFA6", opacity : 0.8 } );
path( [ [ -8, -6 ], [ -8 + D / 2, -6 ], [ -8 + C / 4 + D / 2, -6 + 0.86 * C / 2 ], [ -8 + C / 4, -6 + 0.86 * C / 2 ], [ -8, -6 ] ], { fill : "#A6FFA6" } );
path( [ [ -8 + C / 4 + D / 2, -6 + 0.86 * C / 2 ], [ -8 + C / 4 + D / 2 + 0.86 * A / 2, -6 + 0.86 * C / 2 + A / 4 ], [ -8 + C / 4 + 0.86 * A / 2, -6 + 0.86 * C / 2 + A / 4 ], [ -8 + C / 4, -6 + 0.86 * C / 2 ] ], { fill : "#A6FFA6", opacity : 0.7 } );
line( [ -8, -6 ], [ -8 + D / 2, -6 ], { stroke : "blue" } );
label( [ -8 + D / 4, -6.7 ], D, { color : "blue" } );
line( [ -8 + D / 2 + 0.86 * A / 2, -6 + A / 4 ], [ -8 + C / 4 + D / 2 + 0.86 * A / 2, -6 + 0.86 * C / 2 + A / 4 ], { stroke : "orange" } );
label( [ -8 + D / 2 + C / 8 + 0.86 * A / 2 + 0.6, -6 + A / 4 + 0.86 * C / 4 - 0.3 ], C, { color : "orange" } );
line( [ -8 + D / 2, -6 ], [ -8 + D / 2 + 0.86 * A / 2, -6 + A / 4 ], { stroke : "green" } );
label( [ -8 + D / 2 + 0.86 * A / 4 + 0.3, -6 + A / 8 - 0.5 ], A, { color : "green" } );
line( [ -8 + C / 4 + D / 2 + 0.86 * A / 2, -6 + 0.86 * C / 2 + A / 4 ], [ -8 + C /4 + D / 2 + 0.86 * A / 2, -6 + A / 4 + 0.86 * C / 2 - 0.86 * C / 4 ], { "stroke-dasharray" : "-", stroke : "purple" } );
label( [ -8 + C / 4 + D / 2 + 0.86 * A / 2, -6 + A / 4 + 0.86 * C / 2 - 0.43 * C / 4 ], B, "right", { color : "purple" } );
line( [ -8 + D / 2 + 0.86 * A / 2, -6 + A / 4 ], [ -8 + C / 4 + D / 2 + 0.86 * A / 2, -6 + A / 4 + 0.86 * C / 2 - 0.86 * C / 4 ], { "stroke-dasharray" : "-" } );
</div>
</div>
</div>

<div class="solution" data-type="multiple">
<span class="sol" data-forms="integer"><var>ANSWER</var></span>平方公分
</div>

<div class="hints">
<div>
<p>上下底的表面積為 </p>
<p><code>\qquad <var>A</var>\times<var>B</var>\times 2=<var>E</var></code></p>
<p>側面表面積為</p>
<p><code>\qquad (<var>A</var>+<var>C</var>+<var>A</var>+<var>C</var>)\times<var>D</var>=<var>F</var></code></p>
</div>
<p>四角柱的表面積 <code> = <var>E</var>+<var>F</var> = \color{#FF00AF}{<var>ANSWER</var>}</code> 平方公分</p>
</div>
</div>

</div>
</div>

</body>
</html>