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bugmens
 Post subject: GeoGebra demo
PostPosted: Sat Nov 01, 2008 2:37 pm 
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Joined: Mon Oct 20, 2008 11:12 am
Posts: 14
原本這個範例要寄E-mail給jojoba26,請他幫忙放在
http://www.geogebra.org/en/wiki/index.p ... D%E6%96%87
但收信時好像有問題我只好先放在google空間,再請jojoba26移過去
1.等角螺線(共三個檔案)
http://bugmans.tw.googlepages.com/EquiangularSpiral.zip
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bugmens
 Post subject: Re: GeoGebra demo
PostPosted: Wed Nov 26, 2008 3:40 pm 
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Joined: Mon Oct 20, 2008 11:12 am
Posts: 14
在這之前,要表現動畫的效果只能靠javascript的幫忙
想不到最近的一次更新(11/25)已經加上動畫效果的拉桿(slider)
看著曾經辛苦做出來的成品,有股不勝唏噓的感覺
有興趣的網友下載看看吧
http://bugmans.tw.googlepages.com/GeogebraDemo.rar
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cjwon
 Post subject: Re: GeoGebra demo
PostPosted: Wed Dec 17, 2008 1:28 pm 
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Joined: Wed Jul 09, 2008 4:00 pm
Posts: 6
我好想試試看，請問要如何更新?謝謝。
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jojoba26
 Post subject: Re: GeoGebra demo
PostPosted: Sun Dec 21, 2008 12:04 am 
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Joined: Thu May 10, 2007 4:13 am
Posts: 49
Location: Taiwan
Sorry! 太久沒來這裡看看了
我把Bugmens的等角螺線放在我的學校網頁空間,由GeoGeWiki中文區的 參考資料 可連接過去
http://www.geogebra.org/en/wiki/index.p ... 7%E6%96%99

:D :) :( :o :shock: :? 8) :lol: :x :P :oops: :cry: :evil: :twisted: :roll: :wink:
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camabula
 Post subject: Re: GeoGebra demo
PostPosted: Mon Dec 22, 2008 6:52 pm 
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Joined: Wed Jan 09, 2008 2:41 pm
Posts: 24
jojoba26 wrote:
Sorry! 太久沒來這裡看看了
我把Bugmens的等角螺線放在我的學校網頁空間,由GeoGeWiki中文區的 參考資料 可連接過去
http://www.geogebra.org/en/wiki/index.p ... 7%E6%96%99

:D :) :( :o :shock: :? 8) :lol: :x :P :oops: :cry: :evil: :twisted: :roll: :wink:

請問為什麼按下［開始／暫停］按鈕卻沒有反應呢？（如下圖）

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今天改用Windows XP + IE7 （上一張圖片是在Ubuntu 8.10 + Firefox 3環境下）就可以了，但按下「暫停」後再按下右上方的「重置」圖示，此時按下「開始」，螺線並沒有「重置」而是從剛剛暫停的地方再繼續：
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bugmens
 Post subject: Re: GeoGebra demo
PostPosted: Sat Mar 21, 2009 10:41 am 
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Joined: Mon Oct 20, 2008 11:12 am
Posts: 14
這個問題我也有遇到,只是不知道該怎麼解決,我猜問題可能出在
java script計時器程式碼,我再研究看看怎麼改成GeoGebra
的數值滑桿達成動畫效果,以下是我改寫的兩個範例

http://en.wikipedia.org/wiki/Astroid


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bugmens
 Post subject: Re: GeoGebra demo
PostPosted: Sat Mar 21, 2009 10:47 am 
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Joined: Mon Oct 20, 2008 11:12 am
Posts: 14
http://mathworld.wolfram.com/Cardioid.html


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bugmens
 Post subject: Re: GeoGebra demo
PostPosted: Sat Apr 04, 2009 1:46 am 
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Joined: Mon Oct 20, 2008 11:12 am
Posts: 14
http://episte.math.ntu.edu.tw/articles/ ... page5.html

http://en.wikipedia.org/wiki/Logarithmic_spiral
我改用Slider來實作動畫,應該能順利執行


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bugmens
 Post subject: Re: GeoGebra demo
PostPosted: Fri May 15, 2009 2:55 pm 
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Joined: Mon Oct 20, 2008 11:12 am
Posts: 14
88年大學聯考自然組其中一題
有一邊長為1的正立方體。今置頂點A於空間座標系中之原點
(0，0，0)，置頂點B於正z軸上，則頂點C之z座標為
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bugmens
 Post subject: Re: GeoGebra demo
PostPosted: Tue May 26, 2009 4:01 pm 
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Joined: Mon Oct 20, 2008 11:12 am
Posts: 14
左下角的滑桿可以改變n
觀察不同的n值對sin(nx)週期的影響


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bugmens
 Post subject: Re: GeoGebra demo
PostPosted: Sat Jun 13, 2009 11:05 pm 
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Joined: Mon Oct 20, 2008 11:12 am
Posts: 14
求計算x^2+y^2≦1，y^2+z^2≦1之共同部分體積(98彰化女中)
http://math.pro/db/thread-741-1-1.html
其實這就是牟合方蓋(Steinmetz solid)
http://mathworld.wolfram.com/SteinmetzSolid.html
http://zh.wikipedia.org/wiki/%E7%89%9F% ... 9%E7%9B%96


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bugmens
 Post subject: Re: GeoGebra demo
PostPosted: Wed Jul 15, 2009 3:39 pm 
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Joined: Mon Oct 20, 2008 11:12 am
Posts: 14
http://dmentrard.free.fr/GEOGEBRA/Maths ... ecube.html
參考這個網頁我也做一個摺疊的立方體動畫，原本的範例隱藏了很多輔助線，背後的數學原理我其實不太了解，我試著用sin，cos等三角函數來達到空間中點對點旋轉，再搭配一個典型的數學問題就完成附件中的範例。

若A點有一隻小螞蟻，沿著正方體外表面至G點，則小螞蟻所走最短路徑長為？

另外還有其他好玩的範例
http://dmentrard.free.fr/GEOGEBRA/Maths ... Espace.htm


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bugmens
 Post subject: Re: GeoGebra demo
PostPosted: Mon Nov 02, 2009 3:15 pm 
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Joined: Mon Oct 20, 2008 11:12 am
Posts: 14
設一球之球心與一正立方體之中心重合，考慮球面與正立方體所有邊的交點，則交點的個數不可能是(A) 0 (B) 8 (C) 12 (D) 16 (E) 24
(90大學聯考自然組試題)


http://140.122.140.4/~cyc/_private/geogebra/index.htm
我曾經參考陳創義教授的球面做法,但應用時發現球面變大變小時,
而且要能應付使用者旋轉視角,整體計算量太大導致速度都被變慢了
我只好再土法煉鋼用多面體來模擬球面,讓理想和實際能取得平衡點

立方體的八個頂點為(1,1,1),(-1,1,1),(1,-1,1),(-1,-1,1),(1,1,-1),(-1,1,-1),(1,-1,-1),(-1,-1,-1)

假設球面的半徑為r,球心在(0,0,0),討論和立方體的交點
0<r<√2 球面和立方體沒有交點
r=√2 球面和每個邊交於1點,共12個點
√2<r<√3 球面和每個邊交於2點,共24個點
r=√3 球面和立方體交於頂點,共8個點
√3>r 球面和立方體沒有交點


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bugmens
 Post subject: Re: GeoGebra demo
PostPosted: Sat Dec 19, 2009 3:52 am 
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Joined: Mon Oct 20, 2008 11:12 am
Posts: 14
前幾天我在國家地理頻道收看"偉大工程巡禮-廣州電視觀光塔"
Image
wiki-廣州電視觀光塔
Google圖片搜尋

從外觀看起來就是個雙曲線，突然靈機一動用GeoGebra做了一個動畫出來，看著腰身從胖變瘦再從瘦變胖，我想當初的建築設計師也在煩惱這個問題吧。


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bugmens
 Post subject: Re: GeoGebra demo
PostPosted: Sun Jan 24, 2010 11:25 pm 
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Joined: Mon Oct 20, 2008 11:12 am
Posts: 14
這是我參考http://math.pro/db/thread-894-1-1.html所完成的平面截圓柱範例
起先我先嘗試著用圓柱垂直的線和平面對角線的交點來決定橢圓的位置，但加上綠色多邊形之後當我旋轉整個圓柱時有些多邊形的形狀會跑掉，只好放棄用幾何的方法改採代數的方法將橢圓上的點座標算出來，也就是各位所看到的結果。

另外我還採用GeoGebra的"動態色彩"，讓整個圓柱有明暗深淺的變化看起來更有立體感。


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