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-m2jslt-ac #498

Open
wants to merge 1 commit into
base: master
Choose a base branch
from
Open

sunrise-commit-m2jslt-ac #498

Changes from all commits
Commits
Show all changes
1 commit
Select commit
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
187 changes: 187 additions & 0 deletions exercises/m2jslt-ac.html
View file
Open in desktop
Original file line number Diff line number Diff line change
@@ -0,0 +1,187 @@
<!DOCTYPE html>
<html data-require="math math-format graphie">
<head>
<meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
<title>立方堆疊</title>
<script src="../khan-exercise.js"></script>
<script type="text/javascript">
function MoveCoor(arr0,arr1,arr2,arr3,arr4,arr5){
return [[arr0[0]+arr5[0],arr0[1]+arr5[1]],[arr1[0]+arr5[0],arr1[1]+arr5[1]],[arr2[0]+arr5[0],arr2[1]+arr5[1]],[arr3[0]+arr5[0],arr3[1]+arr5[1]],[arr4[0]+arr5[0],arr4[1]+arr5[1]]];
}
</script>
</head>
<body>
<div class="exercise">
<div class="problems">
<div id="case1">
<div class="vars">
<var id="J, K, L, M"> randFromArray( [ [ 15, 1, 5, 9 ], [ 15, 2, 4, 9 ], [ 17, 2, 6, 9 ], [ 18, 3, 6, 9 ], [ 19, 3, 7, 9 ], [ 19, 2, 8, 9 ], [ 22, 5, 8, 9 ], [ 23, 6, 8, 9 ], [ 24, 7, 8, 9 ] ] ) </var>
<var id="P"> ( J == 15 &amp;&amp; K == 2 ) ? 1 : ( J == 19 ? 2 : ( J == 17 ? randRange( 1, 2 ) : 0 ) ) </var>
<var id="Q"> ( K == 6 || K == 5 ) ? randRange( 1, 2 ) : 0 </var>
<var id="A"> Math.cos( 30 * Math.PI / 180 ) </var>
<var id="B"> Math.cos( 60 * Math.PI / 180 ) </var>
</div>

<div class="question">
<p>下面形體的體積是多少立方公分？</p>
<div class="graphie" id="graph1">
init({range:[[-4, 4], [-3, 5]], scale : 40 });
for(var i = 0; i &lt; 3 ; i++){
path(MoveCoor([0,1],[0,0],[-A,B],[-A,B+1],[0,1],[A*i,-B*i]), {fill : "#00AEAE"});
path(MoveCoor([0,1],[0,0],[A,B],[A,B+1],[0,1],[A*i,-B*i]), {fill : "#A6FFFF"});
path(MoveCoor([0,1],[A,B+1],[0,2*B+1],[-A,B+1],[0,1],[A*i,-B*i]), {fill : "#A6FFFF"});
for(var j = 0; j &lt; 3; j++){
path(MoveCoor([0,1],[0,0],[-A,B],[-A,B+1],[0,1],[-A*j+A*i,-B*j-B*i]), {fill : "#00AEAE"});
path(MoveCoor([0,1],[0,0],[A,B],[A,B+1],[0,1],[-A*j+A*i,-B*j-B*i]), {fill : "#A6FFFF"});
path(MoveCoor([0,1],[A,B+1],[0,2*B+1],[-A,B+1],[0,1],[-A*j+A*i,-B*j-B*i]), {fill : "#A6FFFF"});
}
}
for(var i = 0; i &lt;1 ; i++){
for(var j = 0; j &lt;3; j++){
path(MoveCoor([0,1],[0,0],[-A,B],[-A,B+1],[0,1],[-A*j+A*i,-B*j-B*i+1]), {fill : "#00BB00"});
path(MoveCoor([0,1],[0,0],[A,B],[A,B+1],[0,1],[-A*j+A*i,-B*j-B*i+1]), {fill : "#A6FFA6"});
path(MoveCoor([0,1],[A,B+1],[0,2*B+1],[-A,B+1],[0,1],[-A*j+A*i,-B*j-B*i+1]), {fill : "#A6FFA6"});
}
}
if(J==15 || J==17){
path(MoveCoor([0,1],[0,0],[-A,B],[-A,B+1],[0,1],[-A*2+A*1,-B*2-B*1+1]), {fill : "#00BB00"});
path(MoveCoor([0,1],[0,0],[A,B],[A,B+1],[0,1],[-A*2+A*1,-B*2-B*1+1]), {fill : "#A6FFA6"});
path(MoveCoor([0,1],[A,B+1],[0,2*B+1],[-A,B+1],[0,1],[-A*2+A*1,-B*2-B*1+1]), {fill : "#A6FFA6"});
if(L==5 || L==6){
path(MoveCoor([0,1],[0,0],[-A,B],[-A,B+1],[0,1],[-A*0+A*1,-B*0-B*1+1]), {fill : "#00BB00"});
path(MoveCoor([0,1],[0,0],[A,B],[A,B+1],[0,1],[-A*0+A*1,-B*0-B*1+1]), {fill : "#A6FFA6"});
path(MoveCoor([0,1],[A,B+1],[0,2*B+1],[-A,B+1],[0,1],[-A*0+A*1,-B*0-B*1+1]), {fill : "#A6FFA6"});
if(K==2){
path(MoveCoor([0,1],[0,0],[-A,B],[-A,B+1],[0,1],[-A*0+A*2,-B*0-B*2+1]), {fill : "#00BB00"});
path(MoveCoor([0,1],[0,0],[A,B],[A,B+1],[0,1],[-A*0+A*2,-B*0-B*2+1]), {fill : "#A6FFA6"});
path(MoveCoor([0,1],[A,B+1],[0,2*B+1],[-A,B+1],[0,1],[-A*0+A*2,-B*0-B*2+1]), {fill : "#A6FFA6"});
}
}
}
if(L==7 ||L==8){
for(var i = 1; i &lt;2 ; i++){
for(var j = 0; j &lt;3; j++){
path(MoveCoor([0,1],[0,0],[-A,B],[-A,B+1],[0,1],[-A*j+A*i,-B*j-B*i+1]), {fill : "#00BB00"});
path(MoveCoor([0,1],[0,0],[A,B],[A,B+1],[0,1],[-A*j+A*i,-B*j-B*i+1]), {fill : "#A6FFA6"});
path(MoveCoor([0,1],[A,B+1],[0,2*B+1],[-A,B+1],[0,1],[-A*j+A*i,-B*j-B*i+1]), {fill : "#A6FFA6"});
}
}
path(MoveCoor([0,1],[0,0],[-A,B],[-A,B+1],[0,1],[-A*0+A*2,-B*0-B*2+1]), {fill : "#00BB00"});
path(MoveCoor([0,1],[0,0],[A,B],[A,B+1],[0,1],[-A*0+A*2,-B*0-B*2+1]), {fill : "#A6FFA6"});
path(MoveCoor([0,1],[A,B+1],[0,2*B+1],[-A,B+1],[0,1],[-A*0+A*2,-B*0-B*2+1]), {fill : "#A6FFA6"});

if(K!=3){
path(MoveCoor([0,1],[0,0],[-A,B],[-A,B+1],[0,1],[-A*1+A*2,-B*1-B*2+1]), {fill : "#00BB00"});
path(MoveCoor([0,1],[0,0],[A,B],[A,B+1],[0,1],[-A*1+A*2,-B*1-B*2+1]), {fill : "#A6FFA6"});
path(MoveCoor([0,1],[A,B+1],[0,2*B+1],[-A,B+1],[0,1],[-A*1+A*2,-B*1-B*2+1]), {fill : "#A6FFA6"});
}

}
path(MoveCoor([0,1],[0,0],[-A,B],[-A,B+1],[0,1],[A*0,-B*0+2]), {fill : "#E1E100"});
path(MoveCoor([0,1],[0,0],[A,B],[A,B+1],[0,1],[A*0,-B*0+2]), {fill : "#FFFFAA"});
path(MoveCoor([0,1],[A,B+1],[0,2*B+1],[-A,B+1],[0,1],[A*0,-B*0+2]), {fill : "#FFFFAA"});
if(P==1){
path(MoveCoor([0,1],[0,0],[-A,B],[-A,B+1],[0,1],[-A*1+A*0,-B*1-B*0+2]), {fill : "#E1E100"});
path(MoveCoor([0,1],[0,0],[A,B],[A,B+1],[0,1],[-A*1+A*0,-B*1-B*0+2]), {fill : "#FFFFAA"});
path(MoveCoor([0,1],[A,B+1],[0,2*B+1],[-A,B+1],[0,1],[-A*1+A*0,-B*1-B*0+2]), {fill : "#FFFFAA"});
}
if(P==2){
path(MoveCoor([0,1],[0,0],[-A,B],[-A,B+1],[0,1],[-A*0+A*1,-B*0-B*1+2]), {fill : "#E1E100"});
path(MoveCoor([0,1],[0,0],[A,B],[A,B+1],[0,1],[-A*0+A*1,-B*0-B*1+2]), {fill : "#FFFFAA"});
path(MoveCoor([0,1],[A,B+1],[0,2*B+1],[-A,B+1],[0,1],[-A*0+A*1,-B*0-B*1+2]), {fill : "#FFFFAA"});
if(K==3){
path(MoveCoor([0,1],[0,0],[-A,B],[-A,B+1],[0,1],[-A*1+A*0,-B*1-B*0+2]), {fill : "#E1E100"});
path(MoveCoor([0,1],[0,0],[A,B],[A,B+1],[0,1],[-A*1+A*0,-B*1-B*0+2]), {fill : "#FFFFAA"});
path(MoveCoor([0,1],[A,B+1],[0,2*B+1],[-A,B+1],[0,1],[-A*1+A*0,-B*1-B*0+2]), {fill : "#FFFFAA"});
}
}
if(J==22||J==23){
for(var i = 0; i &lt;1 ; i++){
for(var j = 0; j &lt;3; j++){
path(MoveCoor([0,1],[0,0],[-A,B],[-A,B+1],[0,1],[-A*j+A*i,-B*j-B*i+2]), {fill : "#E1E100"});
path(MoveCoor([0,1],[0,0],[A,B],[A,B+1],[0,1],[-A*j+A*i,-B*j-B*i+2]), {fill : "#FFFFAA"});
path(MoveCoor([0,1],[A,B+1],[0,2*B+1],[-A,B+1],[0,1],[-A*j+A*i,-B*j-B*i+2]), {fill : "#FFFFAA"});
}
}
path(MoveCoor([0,1],[0,0],[-A,B],[-A,B+1],[0,1],[-A*0+A*1,-B*0-B*1+2]), {fill : "#E1E100"});
path(MoveCoor([0,1],[0,0],[A,B],[A,B+1],[0,1],[-A*0+A*1,-B*0-B*1+2]), {fill : "#FFFFAA"});
path(MoveCoor([0,1],[A,B+1],[0,2*B+1],[-A,B+1],[0,1],[-A*0+A*1,-B*0-B*1+2]), {fill : "#FFFFAA"});
if(K==5){
path(MoveCoor([0,1],[0,0],[-A,B],[-A,B+1],[0,1],[-A*2+A*1,-B*2-B*1+2]), {fill : "#E1E100"});
path(MoveCoor([0,1],[0,0],[A,B],[A,B+1],[0,1],[-A*2+A*1,-B*2-B*1+2]), {fill : "#FFFFAA"});
path(MoveCoor([0,1],[A,B+1],[0,2*B+1],[-A,B+1],[0,1],[-A*2+A*1,-B*2-B*1+2]), {fill : "#FFFFAA"});
}
if(K==6&&Q==1){
for(var i = 1; i &lt;2 ; i++){
for(var j = 0; j &lt;3; j++){
path(MoveCoor([0,1],[0,0],[-A,B],[-A,B+1],[0,1],[-A*j+A*i,-B*j-B*i+2]), {fill : "#E1E100"});
path(MoveCoor([0,1],[0,0],[A,B],[A,B+1],[0,1],[-A*j+A*i,-B*j-B*i+2]), {fill : "#FFFFAA"});
path(MoveCoor([0,1],[A,B+1],[0,2*B+1],[-A,B+1],[0,1],[-A*j+A*i,-B*j-B*i+2]), {fill : "#FFFFAA"});
}
}
}
if(K==6&&Q==2){
path(MoveCoor([0,1],[0,0],[-A,B],[-A,B+1],[0,1],[-A*1+A*1,-B*1-B*1+2]), {fill : "#E1E100"});
path(MoveCoor([0,1],[0,0],[A,B],[A,B+1],[0,1],[-A*1+A*1,-B*1-B*1+2]), {fill : "#FFFFAA"});
path(MoveCoor([0,1],[A,B+1],[0,2*B+1],[-A,B+1],[0,1],[-A*1+A*1,-B*1-B*1+2]), {fill : "#FFFFAA"});
path(MoveCoor([0,1],[0,0],[-A,B],[-A,B+1],[0,1],[-A*1+A*2,-B*1-B*2+2]), {fill : "#E1E100"});
path(MoveCoor([0,1],[0,0],[A,B],[A,B+1],[0,1],[-A*1+A*2,-B*1-B*2+2]), {fill : "#FFFFAA"});
path(MoveCoor([0,1],[A,B+1],[0,2*B+1],[-A,B+1],[0,1],[-A*1+A*2,-B*1-B*2+2]), {fill : "#FFFFAA"});

}
}
if(J==24){
for(var i = 0; i &lt;2 ; i++){
path(MoveCoor([0,1],[0,0],[-A,B],[-A,B+1],[0,1],[A*i,-B*i+2]), {fill : "#E1E100"});
path(MoveCoor([0,1],[0,0],[A,B],[A,B+1],[0,1],[A*i,-B*i+2]), {fill : "#FFFFAA"});
path(MoveCoor([0,1],[A,B+1],[0,2*B+1],[-A,B+1],[0,1],[A*i,-B*i+2]), {fill : "#FFFFAA"});

for(var j = 0; j &lt;3; j++){
path(MoveCoor([0,1],[0,0],[-A,B],[-A,B+1],[0,1],[-A*j+A*i,-B*j-B*i+2]), {fill : "#E1E100"});
path(MoveCoor([0,1],[0,0],[A,B],[A,B+1],[0,1],[-A*j+A*i,-B*j-B*i+2]), {fill : "#FFFFAA"});
path(MoveCoor([0,1],[A,B+1],[0,2*B+1],[-A,B+1],[0,1],[-A*j+A*i,-B*j-B*i+2]), {fill : "#FFFFAA"});
}
}
path(MoveCoor([0,1],[0,0],[-A,B],[-A,B+1],[0,1],[-A*1+A*2,-B*1-B*2+2]), {fill : "#E1E100"});
path(MoveCoor([0,1],[0,0],[A,B],[A,B+1],[0,1],[-A*1+A*2,-B*1-B*2+2]), {fill : "#FFFFAA"});
path(MoveCoor([0,1],[A,B+1],[0,2*B+1],[-A,B+1],[0,1],[-A*1+A*2,-B*1-B*2+2]), {fill : "#FFFFAA"});
}
if(J==18){
for(var i = 0; i &lt;2 ; i++){
path(MoveCoor([0,1],[0,0],[-A,B],[-A,B+1],[0,1],[A*i,-B*i+1]), {fill : "#00BB00"});
path(MoveCoor([0,1],[0,0],[A,B],[A,B+1],[0,1],[A*i,-B*i+1]), {fill : "#A6FFA6"});
path(MoveCoor([0,1],[A,B+1],[0,2*B+1],[-A,B+1],[0,1],[A*i,-B*i+1]), {fill : "#A6FFA6"});
for(var j = 0; j &lt;3; j++){
path(MoveCoor([0,1],[0,0],[-A,B],[-A,B+1],[0,1],[-A*j+A*i,-B*j-B*i+1]), {fill : "#00BB00"});
path(MoveCoor([0,1],[0,0],[A,B],[A,B+1],[0,1],[-A*j+A*i,-B*j-B*i+1]), {fill : "#A6FFA6"});
path(MoveCoor([0,1],[A,B+1],[0,2*B+1],[-A,B+1],[0,1],[-A*j+A*i,-B*j-B*i+1]), {fill : "#A6FFA6"});
}
}
for(var i = 0; i &lt;1 ; i++){
for(var j = 0; j &lt;3; j++){
path(MoveCoor([0,1],[0,0],[-A,B],[-A,B+1],[0,1],[-A*j+A*i,-B*j-B*i+2]), {fill : "#E1E100"});
path(MoveCoor([0,1],[0,0],[A,B],[A,B+1],[0,1],[-A*j+A*i,-B*j-B*i+2]), {fill : "#FFFFAA"});
path(MoveCoor([0,1],[A,B+1],[0,2*B+1],[-A,B+1],[0,1],[-A*j+A*i,-B*j-B*i+2]), {fill : "#FFFFAA"});
}
}
}
</div>
</div>

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

<div class="hints">
<div>
<p>上層 <code><var>K</var></code> 個</p>
<p>中層 <code><var>L</var></code> 個</p>
<p>底層 <code><var>M</var></code> 個</p>
</div>
<p>形體體積為 <code><var>K</var>+<var>L</var>+<var>M</var> = \color{#FF00AF}{<var>J</var>}</code></p>
</div>
</div>
</div>
</div>
</body>
</html>