本實驗以研究運用地溫能降低空調消耗之探討為主軸，設定散熱管型、室內熱源及地質條件做為變因，為了要使模型和現實建築物相近，設計模型牆厚為12mm；實際牆厚為12cm，即以1：10縮小比例的建築物模型進行實驗，將散熱管置放於不同地質條件(水質層、水+砂質層及砂質層)之實驗槽中，再以燈泡(25W、100W)作為模擬室內人體或機器的發熱源，利用風扇將室內空氣導入散熱管，經過循環後再進入實驗箱，探討對於室內溫度減緩升溫情形及進出風口降溫效果。實驗中，以無散熱管循環作為對照組，其餘以地質分組，將試驗數據整理、分析及探討後，獲得以下之結論： 1. 散熱管型：以銅管為例，散熱效果為3L >3U>U>L。 2. 地質條件：散熱效果為水+砂質層(WG)>砂質層(G)>水質層(W)。 3. 發熱熱源：燈泡25W乘上四倍使之與燈泡100W釋放能量相等，其散熱效能為100W>25W。 4. 各材質管型：散熱效果為鐵管>PVC管≧銅管，且U型管>L型管。

一、遊戲規則 （一）規則一：下圖中每一個方框都是一個房間，每個房間亮暗雜然無序，現在有位管理員欲將所有的房間燈關掉，但每次改變一個開關，相鄰兩個房間的開關也會跟著改變，目的是將所有房間的燈關掉。（圖中黃色區域代表燈亮著，無色代表燈暗著） （二）規則二：遊戲規則類似第一種規則，但此時若改變某個房間的開關，則只有相鄰的燈泡亮暗會改變，而本身的亮暗不變，目的同樣是將所有亮著的燈泡全部關掉。

物體自高處落下真能落得輕鬆嗎？實驗發現鋼珠從高處落下時，其墜落時的瞬間速度會加快，除了重力外，還受到周圍環境(氣體或液體)所造成的阻力影響；而物體著地時瞬間衝撞力會受到物體質量、墜落速度變化及地板材質影響；此外，高空墜蛋實驗瞭解到氣泡布、黏度高的花生醬及果醬能有效保護雞蛋不破損，而以米當包裝材料、以鹽當承接物來保護蛋也能達到較好的保護效果；觀察人偶墜落時，頭部的加速運動及軀幹質量都會影響頭部撞擊地面的受力，下肢墜地時會受到地面摩擦力而影響頭部撞擊地面的時間，頭部提早觸地將使頭部傷害指數升高。

傳統的粉圓煮法相當耗費能源，因此我們針對粉圓烹煮方法進行探討。生粉圓之澱粉粒大部分未糊化，彼此間結著力弱，粉圓放入冷水時會散裂。若經78℃熱水處理1min後，粉圓表面澱粉糊化，此層結構較疏鬆，水分子較易進入粉圓內部，經掃描式電子顯微鏡拍攝粉圓之澱粉結構，驗證我們所提出的假說。實驗結果顯示，粉圓烹煮前最適處理條件：粉圓烹煮前以78℃熱水處理1min，再浸漬冷水4小時。熱水煮滾後，放入處理過的粉圓，間歇式加熱循環10次 (每次加熱循環：加熱1min、悶1min），可大幅縮短粉圓烹煮加熱時間。此外，利用PLC連結加熱器，有效控制粉圓間歇式加熱循環，並透過電能消耗測試，發現改良後烹煮方式與傳統粉圓烹煮方式比較，可大幅節省耗費之電能。

Our aim to attend this science fair is to design an instrument that can plat and measure the mass at the same time. In hope of designing a simple, accurate and convenient apparatus, we created an electronic circuit to display our original idea. In the process of constant improvements, we finally accomplished a “Super Mass Plating Gauge”, which can be easily and widely utilized in school teaching. The production of microbalance and the arrangement of electric circuit are the most significant parts in our research. The major components of the “Super Mass Plating Gauge” include a straw, metal clips and our creativity—the well-arranged electric circuit. The idea of microbalance originated from the Internet, but we advanced it by numerous experiments. First, we attached a steel cord to one side of the cathode in the electricity supplier. Next, we fixed the other side to the negative plate. And then, on the end of the negative plate, we tied a metal clip with the metal that will be plated. Eventually a new “plating gauge” was invented. By doing so, we could use this instrument to make our experiments. Our experimental goal is to research how different kinds of metal, time, electrode and voltage can affect the reduced mass on the cathode. We made use of such metal as copper, zinc and silver to carry out the experiments. In the end, by analyzing the results, we concluded a plating formula that can be applied to metal plating. 我們做此科展的目的，是要設計一個可以邊電鍍、邊測量質量的儀器，我們希望這個儀器是簡便、精確、且線路簡單，並且能推廣到教學的器材。經過我們不斷改良，終於完成了「便利質量電鍍器」 。 其中製作微量天秤和線路的配置方法，是本研究的重要部分。微量天秤的主要結構是吸管、鱷魚夾、及線路。微量天秤的構想，是參考以前的科展作品並加以改良，可精準測量到0.00010g，而裡面的線路，則是我們的創意（如圖一） 。只要把電源供應器的正極，接上左右任一鋼條，負極接到容器另一端，並加上一個鱷魚夾，夾上被鍍物，便是一個可邊電鍍，邊測量質量的儀器了！如此一來，我們就能以此儀器來作我們以下的實驗。 我們實驗目的在探討電鍍時不同金屬、不同時間、電極大小及電壓，對正極金屬片所減少質量的影響。 最後，我們推導出一個有關電鍍時正極金屬片質量變化量的實驗公式。為此，我們也要做許多次、許多種的實驗，來驗證我們的公式是否正確，並以我們所學的理論來推論。

Lotus self-cleaning effect arises because the leaves have the superhydrophobic surfaces. When rain falls onto a lotus leaf, water beads up as a result of surface tension. The water drops promptly roll off the surface, taking every dirt with them. This phenomenon is called the lotus effect. With the aid of a light microscope and an Environmental Scanning Electron Microscope, we observe and describe the morphology of the leaves of Nelumbo nucifera in detail. We successfully observe the real interface between air, water droplets and the papillae of a lotus leaf, and find the evidence of a composite surface that is formed by epicuticular wax crystals and air. These observations improve our understanding of the two-level composite surfaces that are formed by micro-scale papillae, nano-scale epicuticular wax crystals and air. We try the method of using the critical angle of a static drop beginning to roll on inclined surface to evaluate the self-cleaning ability. We then find out that it may be a more precise criterion compared to using the static contact angle for the evaluation of the lotus effect. Literature review shows that the earlier investigation lacks the height(H) and interval(I) of the projections on the lotus leaf surface. A close relationship between the self-cleaning property and the H/I ratio is found. In this study, we present the experimental data of the height and interval of the projections on four different species of plant leaves that all have lotus effect, which may be of great help to technological applications. 蓮花效應是指蓮葉表面具有超疏水性與自我潔淨的能力，當雨水落在葉面，因為表面張力的作用形成水珠，水滴迅速滾離葉面，把灰塵一起帶走。本實驗以光學顯微鏡和環境式掃描式電子顯微鏡觀察蓮葉，詳細描述其表面形態，成功的發現空氣、水滴和蓮葉乳突真實的接觸界面以及表面蠟和空氣構成複合表面的證據。實驗結果可以使乳突、奈米表面臘質和空氣構成的雙層次複合表面更容易被了解。我們嘗試以水滴傾斜滾動臨界角來評估自潔能力強弱，實驗結果比傳統使用靜止接觸角更為準確。表面高度和間距的比值與蓮花效應有很大的關係，查閱文獻顯示蓮葉缺乏這些資料，本研究提出四種有自潔能力的葉子的實驗數據，這些數據應該對科技應用有很大的幫助。

以任意△三邊為直徑的半圓，依相同圓心角所畫出來的三切線相交所成的△必與原△相似，不論這些半圓同時向外畫或同時向內畫或內外混雜著畫，所作出來的△一定都與原△相似。對任一直角△，若兩股的半圓往外畫，斜邊的半圓向內畫，取圓心角為30°時，所作出來的切線△與原△的邊長比值恆為 ? ，本文掌握它的逆向作圖法，因此對任一直角△，若按此法連續作n 次，即可得2n 倍的相似△，反之可得(? )n 倍的相似△。 外拿破崙△與內拿破崙△ 的面積差恆與原△的面積相等，這是一個著名的拿破崙△性質，本文發現了一個同樣有趣的性質：在同圓心角的條件下，向外與向內切線△的對應邊長和，恆為圓心角是0°時的邊長的兩倍。

茶色姬鬼蛛為台灣低海拔平原常見的蜘蛛，會結不同型式蜘蛛網。本研究探討不同環境因子、不同性別比例以及不同生理狀態下茶色姬鬼蛛結網行為的改變。研究結果顯示，模擬自然棲地之極端溫度、極端風速已及極端溫度後，茶色姬鬼蛛網型不受改變，而飢餓程度、結網空間，並不會影響結網所需時間，結網所需時間僅受到個體數與體型大小所影響，研究也發現，性別的差異則同時影響茶色姬鬼蛛之結網速率及結網形式。?合所有實驗結果分析，茶色姬鬼蛛表現特殊之結網行為，有別於往昔科學家對結網之描述，值得更進一步之探索。

本校位於高雄市前鎮工業區，四周工廠林立，中台化工、硫酸錏、復興木業、台塑、南亞等工廠與學校僅咫尺之距，每當工廠排放廢氣時，濃煙沖天，臭氣燻人，全體師生苦不堪言。進而發現，學校門窗時常蒙上一層白茫的油汙，拭之不易。時聞教師們呼吸器官常有不適的感覺，因此我們決定調查高雄市空氣污染的情況，提供當局參考改善。

This project aimed to create a simple model of coin sorter with cheaper price, electricity saving using recycled materials for use in place of manual separation and compatible to the automatic coin sorters commercially available in the market. The principle applied in inventing this device was the gravity force that pushed coins to fall through its upper compartment to the lower part via a slope that determines the coin path as well as the speed of the coins. The upper part of the box was designed to control the rate of the descending coins and transported the coins to the separation section in single file order to prevent jamming. The lower part of the box consisted of the coin sorting mechanism which conveyed the coins to their assigned compartment according to coin diameters. The box could separate three kinds of Thai coins, 1,5 and 10 baht, with 95-98 % accuracy. The efficiency was in the range 150-250 coins per minute with highest accuracy at 150 coins per minute. The box was made from acrylics. The designed box can separate coins faster than manual sorting although not with as high efficiency as automatic machines which can sort up to 500 coins per minutes. At the present stage, it can not count the number of coins. However, it can be built at cheaper cost, does not require electricity or electronic devices and is suitable for small and medium size business. We aim to improve the box to give higher accuracy with coin counting ability.

由積性函數特性馬上可證得尤拉公式(B)=B(1-1/91)•(1-1/92)•(1-1/93)…(1-1/9n) 現在，我們想把尤拉公式推廣，若 A 表另一正整數令（ A , B ）表示：不大於 A 且與 B 互質的正整數個數我們想由積性函數的觀點切入，探討下列等式成立的條件 (A1,B)=A(1-1/91)•(1-1/92)……(1-1/9n)

給定下面範例：\r 058823529411764705882 +235294117647058823532\r =0588235294117647058823529411764705882353，\r 其等式結果與質數17 的倒數結果(1/17)有某種關聯(卻沒有一個決定性的證據)，意即\r 1/17=0.0588235294117647=\r 0.058823529411764705882352941176470588235294117647...... ( Len(17) =16 )\r \r 曾經在下列網站上發現過幾組數字(挑戰試題)，引起我們極大的興趣。\r http://www.domino.research.ibm.com/Comm/wwwr_pondernsf/challenges/March2000.html\r http://www.math.smsu.edu/~les/POW08_96.html\r \r \r The two examples that I have are 0588 2+23532=05882353 and 058823529411764705882+23529411764705882353 2=0588235294117647058823529411764705882353 These were found by the Canadian professor Alf van der Poorten, and he gave a talk on these identities in December at the west coast number theory conference. He was unspecific as to exactly where these identities were coming from, but they are connected with reciprocals of primes:1/17 = 0.0588235294117647= 0.058823529411764705882352941176470588235294117647 ΛΛ ( Len(17) = 16 ) Though not mentioning how to obtain these equations, Prof. Poorten demonstrated the relationship between the above examples and the reciprocal of the prime numbers 17 (1/17 ) without a definitive proof.