每當打掃清潔區的時候，同學們常被蜘蛛網黏得滿頭是蜘蛛絲，有時候想消滅牠，但又找不到牠躲在什麼地方？把網清除了，明天又結了一個新網。自然課本裹對這紡織的能手也沒有詳細的提過，因而引起了我們對牠觀察研究的興趣。

當我們學習到一一第五單元植物的光合作用。植物行光合作用時，生長在地面上的植物要吸收空氣中的二氧化碳。人人皆知，但是如何證實呢？課本上未說明，我們很想知道，使請問老師：「沒有二氧化碳，光合作用是否能進行？」老師告訴我們大家想個方法實驗，觀察看看！

此研究是探討光合細菌對污染水中油脂的影響。利用光合細菌(Photosynthesis Bacteria; PSB)來探討對油脂分解的能力，實驗使用的油脂4種，分別是柴油、沙拉油、橄欖油和豬油4種油脂來做為實驗對象。然後取4種不同的油脂各2克分別加入光合菌液98公克做為實驗組，對照組則取4種不同的油脂各2克分別加入海水98公克作為空白對照（不另添加光合菌），每組皆為2重覆實驗，以純光合菌液98公克作為校正組，再利用索氏萃取裝置分離光合菌和水中的油脂，進行油脂回收，實驗進行4週，計算油脂的減少量和油脂分解率作為評估光合細菌對4種不同油脂分解的能力。

本研究為傳統遊戲創新，改變遊戲形式與玩法，中間前後不留空格，且題目中花色種類按a、b、c……順序排列，在每種花色數量相等的情況下進行直線相鄰移位遊戲。研究裡設定了三種不同的最後排列順序要求，觀察當花色種類數與每種花色數量為任意數時的最少移位次數，試著從操作過程歸納最少移位次數(最佳解決策略)之規律，並得到通式。接著，將直線型改為其他排列圖形─順時鐘環形，同樣的歸納在最後三種不同排列順序要求下最少移位次數之規律，得到通式，並比較與直線排列之相關性。

Our research started from June, 2003 to May, 2004. During these twelve months, we collected and discussed the basic ecology material of malformed “ Rana latouchii ”, which we call it frog in the following paragraphs . Thanks for the favorable geographical position, we collected the first-hand data in the area of Jin-Mian Mountain foothill gully situated in Taipei. Our investtigation project includes：the percentage of the malformed frogs in a whole race, the geographical distribution of dominant-abnormal frogs, the sexual distribution of dominant-abnormal forgs, and the possible roots for the generation of malformed frogs. We have altogether carried seventy-six times field investigations. In those investigations, we focused our research on the randomly-sampled 580 Rana latouchii. In these 580 sample, there are 190 female, 350 male, and 40 adolescent. We discovered seventy-six malformed frogs, constituteed by 21 female, 53 male and 2 adolescent. In another words, the occurance of malformed frog in a race is around 13.1. %. In our observation, we can classify dominant-abnormal frogs, “Rana latouchii”, into eight species. Here are the species: 1. the entire body is obviously malformed, 2. with only one eye, 3. in lack of appendage apod, 4. in lack of arms,5. in lack of palms, 6. with excess webbed toes, 7. the maltfromed of appendiculars, 8. the lack of toes on the palms. Within these 8 species, the last species has the highest occurance, 66.38% in aproximation. If we look at the classfication by sex, the ratio of female to male is around 1 to 2.52(1:2.52). However, the possibility of being maleformed is regarded as the same for female and male frogs in the same group. In statistical term, our research shows that the chi-square is 1.742 while our degree of freedom is 1 and confidence level is 95% (X2=1.742，df=1，p>0.05). During the research, we also observe that each malformed species affect different living activities of malformed frogs. In the worst situation, the malformed nature can result in shorter life. In our sampling area, malformed frogs mostly reside in high concealment and high humidity location. In our research data, within these area, our re-captured rate for malformed frogs is 25% and hirudin-parastical rate is 4.31%. As our research shows, the occurance of malformed “Rana latouchii” in our selected area results from 3 main causes： First, the parasitism of leeches or parasitic worm；Second, the agriculturally chemical contaminants；Third , the injured causes from escape from predator. 本研究自2003年6 月至2004年5月為止，共12個月的期間，於臺北市內湖區金面山南麓溪谷，對拉都希氏蛙(Rana latouchii)族群之畸形蛙個體進行基本生態資料的蒐集與探討，調查項目包括：族群中畸形蛙發生的比例、畸形蛙外部形質異常分佈的情形、族群中雌蛙與雄蛙發生外部形質異常之情況及可能造成畸形蛙產生的原因。 研究期間共進行了76次的野外調查，總紀錄了拉都希氏蛙580隻，雌蛙有190隻，雄蛙有350隻，幼蛙有40隻；畸形蛙個體共紀錄有76隻，雌性畸形蛙有21隻，雄性畸形蛙有53隻，幼體畸形蛙有2隻。族群中畸形蛙發生率約為：13.10％，外部形質異常的畸形拉都希氏蛙總計有八大類，包括：1.整隻個體形質畸形，2.單眼個體，3.附肢缺少，4.附肢缺臂，5.附肢缺掌，6.腳掌多趾，7.附肢腳掌畸形，8.附肢腳掌缺趾，其中以附肢腳掌缺趾類的66.38％發生率最高。畸形蛙中雌雄比約為1：2.52，族群中雌蛙與雄蛙發生畸形的比例並無顯著的差異（X2=1.742，df=1，p>0.05）。 不同部位形質畸形的發生，將會影響畸形蛙的個體活動，甚至可能降低畸形蛙的存活機率。研究調查樣區中，畸形蛙較常活動於濕度高且隱蔽度大的分樣區中，畸形蛙的重複捕捉率為25％，被水蛭寄生的比例則約是4.31％。 由調查研究結果顯示，造成內湖金面山區南麓溪谷拉都希氏蛙畸形蛙發生的主要原因，推測可能有下列幾種：(1)水蛭或是吸蟲類的寄生；(2)農作過程中的化學污染物；(3)逃脫掠食者捕食過程受傷。

貓空纜車車廂在通風方式進行了三個階段的改善，究竟效果為何？又有多少效益？而在\r 夏天車廂行進時該以何種通風方式最好，冬天又該以何種通風方式最佳？經由實驗與數據的\r 分析結果，我們得知夏天搭乘纜車行進時，想要最涼爽、最舒適的通風方式，就是將迎風面\r 上方的兩扇窗戶都開到最大為九十度，同時也把車廂門上方的窗戶打開，而將背風面上方的\r 窗戶關閉。冬天希望保持車廂內通風，但又不會覺得寒冷，則以穿保暖的衣物再將迎風面上\r 方的兩扇窗戶都開到為四十五度，同時也把車廂門上方的窗戶打開，而背風面上方的窗戶也\r 打開，為搭乘纜車時最佳的方式。而在夏天纜車車廂行進時，比起車廂全部封閉的情況，改\r 善後的最佳通風方式可高達48.68%的效益。

我到荷花池旁玩時，老愛捧水往荷葉上潑，看一粒粒透明的水珠在荷葉上滾來滾去，真好玩。但為什麼會有這麼奇妙的現象呢？有一次我逮著了機會請教老師，老師回答說這是由於表面張力的關係，同時也介紹我看一些有關表面張力的書，我愈看愈覺有趣，便決心好好研究這個問題。

設有一組數列定義{ai,j,l}，如下： 1. a1,1,1=0 2. ai,j,l規定: (1)除了a1,j,l，a2,j,l，a3,j,l，…，ai-1,j,l的整數不能再出現外的最小非負整數。 (2) 除了ai,1,l，ai,2,l，ai,3,l，…，ai,j-1,l的整數不能再出現外的最小非負整數。本研究首先發現 ai,j,l=aj,i,l，ai,i,l=0，ai,j,l=j-1，a2,j,l=(j-1)-(-1)j。並發現下列現象，並構造Al,r方塊。 Al,1=[0]，Al,2=[01 10]，Al,3=[0123 1032 2301 3210]，設Al,r成立，Al,r=[ai,j,l]2k-lx2k-1xl，A*l,r=[bi,j,l]2k-lx2k-1xl，則bi,j,l=ai,j,l+2r-l Al,r方塊分割成4個方塊，Al,r=[Bl,r-l Cl,r-l Dl,r-l El,r-l] ，則Al,r=[Bl,r-l B*l,r-l B*l,r-l Bl,r-l] 。本研究發現方塊的對稱，主對角線，次對角線的性質，並利用二進位法尋找ai,j,l的一般式1l。本研究並延伸到三維空間，發現三維方塊的構造、三維的軸對稱、三維空間最小步數的奇偶性及以二進位法探討三維空間一般式。

樹居舉尾蟻（Crematogasterrogenhoferi）是台灣常見的樹棲性螞蟻，擁有完整社會結構的牠們必須有系統地分工、特別是有效率地尋覓食物以維持整個族群生存。過去文獻已提出螞蟻會用費洛蒙留下覓食記號，卻少有針對他們的覓食策略提出探討，故本實驗設計諸多模型欲探討舉尾蟻的覓食行為。我們嘗試以糖水或含糖水果餵養整個舉尾蟻巢，發現牠們不僅喜愛且會選擇最短路徑以到達食物源，並對食物源的位置有一定時間內的記憶性，實驗顯示可能是藉由空間物像、食物源顏色、地磁方向、重力方向與食物氣味等輔助記憶；一旦覓食過程遇到障礙時，舉尾蟻會彼此通知並嘗試突破障礙繼續前進。在面對不同覓食狀況的刺激時，舉尾蟻的反應竟充滿我們意想不到的智慧，值得未來繼續鑽研與探究。

Cultures of bacteria were analyzed using fractal geometry and statistics to provide a method for predicting organism growth, paving the way for a better design of treatment drugs. Images of three cultures of isolated Bacillus subtilis were taken at time intervals of two to three hours for eight days. The images were processed using the IDOLON program and quantitatively described using three statistical formulas: fractal dimension D, Renyi dimension and Hausdorff-Besicovitch dimension. The three variables were integrated to compute the maximum of the distribution and were used as coordinates for a 3-dimensional graph f. A 2-dimensional graph g containing the maximum of a distribution under time analysis was also constructed. Topological properties of the graphs, including slope, direction and area were used to determine the interrelationship of the three fractal values. The two graphs, described as φ - : X -? P1 where X is the smooth algebraic assimilation of the four variables under time analysis, was extended using Java. A computer-aided prediction model of the graphs f and g were made which combined the topology of f and g at infinity. The computed fractal values showed the existence of a fractal pattern in the growth of Bacillus subtilis with fractal dimension ranging from 0.900 to 4.000, indicating a linear iteration. This was supported by the values of the Renyi dimension, which showed a horizontal growth pattern of the bacterial cultures, establishing the growth of the bacteria to be inclined to go towards the North East direction. There was consistency in the computed fractal values, maximum of distribution and topographical computations of all three cultures which also indicated the existence of a pattern of growth which could be extended to tinfinity, thereby allowing prediction of the direction and rate of growth of the bacterial colonies. The fractal patterns in the growth of bacteria, in this case Bacillus subtilis, yielded the direction and rate of growth of the bacteria as shown by the analysis of the fractal patterns and statistical values, showing that the growth of harmful organisms can therefore be predicted, making it possible to improve on the design of drugs for the control of perilous cells. By preventing the growth of insidious cells, the potential effects of virulent organisms may be avoided, and treatment may be made more possible.