陽光、空氣、水是構成生命的三要素，人們以萬物的主宰自居，為追求生活的舒適，不斷的破壞生態，大自然在面對人類的無情也開始反撲，如：氣候異常，發生所謂的聖嬰現象。為延續後代子孫的生存空間，人類必須自我反省，珍惜有限的資源。其中水資源是我們研究探討的重點，人們飲用水早期取得於山泉水、井水，但隨著工業的發展，污染的問題越來越嚴重，廠商也發展出各類的飲水設備，其中逆滲透過濾（R0）飲水機是學校最喜歡安裝的機種，希望獲得最乾淨的飲用水。當同學們補充大量的飲用水時，那飲水機將排放掉大量的廢水，若能加以回收，應用於澆花、沖廁所....等，這樣不就更加環保嗎？因此開始規劃研究太陽能驅動飲水機及其排放廢水的再生應用。

三角形的邊上取任意多個點，我們可以把這塊大三角形沿著切割線切割成較小塊的三角形，但切割線必須是點（或頂點）和點的連線，而且必須切割三角形，同時可以切任意大小的三角形，如圖（1）與圖（2）。但不可以一開始就取走整個三角形。定義拿到最後一塊三角形的人獲勝，而在多邊型中的玩法與在三角形中相同。 我們分A、B、C三種規則來討論，其中A規則即是上面提到的玩法，B規則大部分的玩法和A規則都相同，唯一不同的地方在於：A規則中，只要有一方取到剩下的圖形為三角形，另一方就可以直接取走剩下的三角形，而B規則規定即使剩下的圖形已經是三角形，也必須取到剩下的圖形邊上都沒有分點為止。C規則是限制玩家一次所能取的三角形數來進行遊戲。 我們完成了A、B、C規則中三角形與多邊形的必勝策略，並找出必勝策略之間的關聯。 ;Given any numbers of points on the sides of a triangle, the players can cut this triangle into pieces. Each cutting line has to be one, linked between two points given from two different sides. And the player can’t have to cut smaller triangles out of the original triangle. The out-cut triangles can be chosen randomly without any restriction in size, just like what’s shown in picture（1）and（2）. Meanwhile the first player can’t cut the original triangle exactly all out in the very beginning process. We define the player as the winner, who gets the last triangle. And the above way we play can be applies to any multi-side shapes. We discussed the question respectively in three rules, A, B, and C. Rule A is what we mention above. Rule B is generally the same as rule A, except for the only difference：The rule A , if there is any triangle left , the next player can get it directly, but while in rule B, the every next player has to cut out smaller triangles until no point is left on sides. Rule C proceeds on conditions that there is a limitation to a certain number of triangles cut out at a time. We has finished the winning tactic respectively in rule A, B, and C in the games with a triangle and multi-side shapes. Furthermore, we find the connection between the winning tactives.

老夫子向大蕃薯買雞蛋，一不小心竟把堆垛在桌上的雞蛋，翻滾到地上砸碎了。老夫子說，只要大蕃薯能說出雞蛋的總數，他願意照價賠錢，這下子大慕薯的頭更大了，應該怎麼計算呢？

Surfactants have a great effect on decreasing the surface tension in aqueous solution and thus they are important components in detergents. The present study aims to explore the cleaning mechanisms of the substances for greasy subjects such as bowls and clothes. The roles of various surfactants that have on the changes in the surface tension of aqueous solution in the presence and absence of additives such as tea and salt have been carefully studied by using a lab-made equipment. We carefully observed the changes in the oil droplets after pushing oil in a syringe to the aqueous\r solution containing surfactants and additives. With decreasing the surface tension of the aqueous solution, the size of the droplet becomes smaller. By using this simple lab-made equipment, we are able to determine the critical micelle concentration (CMC) of sodium dodecyl sulfate (SDS), with a result of 0.0079 M at 20 ℃. The result is in a good agreement with the literature (0.0077M). With decreasing temperature and adding salts such as sodium sulfate, the decreases in the surface tension have been confirmed by our simple experiments. This simple equipment also allows study of the effects of impure additives such as salt, tea, vinegar that have on the changes in the surface tension of aqueous solution containing commercial detergents. We have found that most of the additives have a great effect on reducing the surface tension of the aqueous solution. The present study results suggest that the simple experimental set-up is practical for measuring the CMC of surfactants and for exploring the effects of additives on changes in the cleaning ability of commercial detergents.界面活劑性可有效降低水溶液的表面張力，因此，他們是清潔劑的重要成份。該實驗主\r 要在探討各種物質的清潔機制。利用自製的實驗裝置，針對各種不同的界面活性劑在添加了鹽類或茶水後界面張力的改變量，作詳盡的探討。我們將含有不同濃度界面活性劑以及添加物的水溶液裝入容器中，在推擠針筒使其的油通過針頭並進入該溶液後，我們仔細的觀察紀錄油滴大小的改變。結果顯示界面張力的降低會使得油滴變小。藉這個自製的裝置，在20℃下，本實驗所測得的陰離子型界面活性劑-十二烷基硫酸鈉之臨界微胞濃度0.0079M。結果幾乎與過去的文獻0.0077M 值符合。該實驗同時也證實了降低溫度，添加了鹽類後，可有效的降低界面張力。此外，此實驗裝置也可以用來測量市面上販售的清潔劑在添加了不純的物質後，其界面張力的改變量。我們發現大多數的添加物都能有效降低界面張力。目前的實驗結果顯示，這項實驗裝置在測定臨界微胞上有很高的實用性，同時也可以探討不同的添加物對市面上販售的清潔劑之洗淨力的影響。

探討臺南市二仁溪、鹽水溪、曾文溪等三條主要河流上、中、下游與附近地區的泥砂，成分中都有黑色和透明的顆粒，跟出海口泥砂顆粒十分類似，可推斷出海口一部分的泥砂應該是被河流由上游帶下來的，另外，我還利用參考書籍裡面對岩石的介紹，得知上游的岩石是頁岩，且附近應該有砂岩，讓我可以推測黑色的顆粒是頁岩的小碎片，透明的碎塊則是石英。我還做了泥砂顆粒大小的實驗，利用不同孔徑大小的篩網來進行實驗，發現二仁溪採集到的泥砂顆粒平均停留在最細的篩網上，代表這裡的泥砂顆粒非常的細，鹽水溪和曾文溪所採集到的砂也主要停留在最細篩網，跟上、中、下游的顆粒大小差不多，因此，本研究的證據能推測這些砂子大部分是從山上被水帶下來的。

胃癌的治療方式為手術及化學藥物治療為主。本研究目的是探討熊果酸(Ursolic acid)對於胃癌細胞的抗腫瘤作用。研究使用兩株人類胃癌細胞MKN45及SCM-1。當加入熊果酸後，顯微鏡下觀察細胞數目會減少。由SRB證明熊果酸會降低細胞存活率，由西方墨點法實驗發現：熊果酸誘導促細胞凋亡蛋白質Bax及Bak的表現，降低抗細胞凋亡蛋白質Bcl-xl及Bcl-2，也會抑制p-Stat3/c-Myc/Cyclin D1訊息傳遞途徑，從而阻斷促進細胞存活的基因表現，讓癌細胞凋亡。另外也研究熊果酸併用化療藥物順鉑對胃癌細胞存活率的影響，由周塔氏藥物合併指數定理證明熊果酸作為輔劑，對胃癌細胞抑制具有協同效應，故熊果酸具潛力成為新的治療方式，更證實中草藥白花蛇舌草的藥效。

在一次野外標本採集，觀察活動時，突然由草叢中爬出一隻似蛇非蛇的小動物，而引起學生的好奇，進而要求利用課餘時間，研究這一奇異的小動物。

甜蜜來『靛』實驗俗稱振盪紅綠燈，是以氧氣作為氧化劑、葡萄糖為還原劑，使靛胭脂溶液在鹼性環境中因為氧化及還原產生不同顏色變化的可逆反應。我們發現葡萄糖濃度及溶液pH值會直接影響反應速率，其速率定律式為：R還原 = k[IC]0[C6H12O6]1 [OH－]1；若是振盪反應停止，可添加新鮮靛胭脂使其再生。此外，不同種類的還原劑會使此反應產生不同顏色，如還原力強的乙醛、丙醛會使溶液呈現橙色而不再變化。利用此振盪反應作為示範實驗的最佳化條件為：1.2%C6H12O6(aq)、0.5M NaOH (aq)的溶液50 mL，加入2.0 mL、1.0%靛胭脂溶液，第1次振盪時間約12~15分鐘，第2次循環開始其速率會增快，時間約縮短至5~8分鐘。

有一回，我們在學校的涼亭邊，發現榕樹叢中，有一些葉子捲了起來；把這些葉子打開之後，還發現裏面有蟲卵。同時，我們也發現水稻的葉子，缺水時，葉子也有捲曲的現象。這些現象勾起了我們的好奇心，於是展開了下列的實驗與觀察，希望能找出葉子捲曲的原因及對葉病理的影響。

在一個有障礙的平面上，給三個定點，我們探討連接此三點的最佳網絡。我們討論了諸如直線、射線、線段、圓、網格狀、三角形……等類的障礙，當網絡每穿越障礙一次，就必須付出代價，例如「拖延5 分鐘」。所以，設網絡穿越障礙的次數為y ，則網絡除了原本的總長度之外，還額外加入y 倍某固定數值的損耗。我們以費瑪點的各種性質及三角形不等式等方法為工具，就不同的穿越障礙次數綜合比較，而找出最佳網絡。在某些情況下，最佳網絡不是以費瑪點來連接三點，而是在障礙(如：直線)上找出符合某種與餘弦值相關特殊性質的點，以該點來連接三點，而此網絡可用GSP 軟體相當精確地作出。另外，我們也探討在考慮障礙造成損耗的情況下，兩點間的「實際距離」為何。 最後，我們考慮「混合障礙」問題。在此類問題中，除了前面所討論的障礙，還另加了如同「河流」的兩平行直線間區域之障礙，在這種障礙區域中，網絡的長度要乘以數倍來計算。我們發現，此類問題的最佳網絡也可用特定的正弦條件配合GSP 而相當精確地作出來。;Considering various kinds of obstacles in a plane, such as a line, a segment, a ray, a circle, a triangle or chessboard grids, which function like a red light, we research into the problem of finding the optimal network connecting three given points A, B, C in the plane amidst obstacles described above. Each time when the network crosses an obstacle, it will cause losses, such as five minute’s delay or a loss of one hundred dollars. Taking advantage of Fermat points, some basic inequalities concerning triangles and some special qualities about sine or cosine functions, we obtain the optimal networks in different situations. Besides, we consider what the “real distance” between two points is when there are obstacles in a plane. We also put another obstacle, including a line and a weighted region between two parallel lines, into consideration. In the region, like a river or a muddy ground in real life, the length of the network should be multiplied by a fixed time. Furthermore, we can use GSP to make the networks very accurately.

近世科學日益昌明，各種專門學問幾已發展至登烽造極的階段，超音波當然亦不例外。從神話中我們知道阿拉丁有一個神燈，也知道潘多拉有一個魔箱，它們都能製造令人不可思議的奇績，如今我們有一魔鏡一一「雷達」它能增加吾人的視界，其具有超過百層阻礙的能力能夠明示道路、山脈和移動的飛機，還能....，功能遠超於神燈和魔箱，但是至今雷達仍是一秘密，且市面上無怯找到詳細的參考責料，以致不能應用於日常生活之中，所以我們想是否可以不利用無線電波而以別的波代之，來做類似雷達的工作。

The reason for making this project was with the intention to help the blind persons. A lot of people with vision problems don’t have the resources available to acquire equipment or programs that make it easier for them to use a computer to write, to communicate etc... Being aware of this problem we took the liberty of researching at a community center that helps the blind persons in Tijuana Baja California, Mexico. We found that they had a type writer (Perkins) with only 6 keys that symbolized Braille. They also had a normal keyboard that had the Braille code over each key, but it is complicated to learn because of its many keys. Due to our research our intention was to design a system that respect the Braille symbols of the Perkins type writer and translated them to the common alphabet. We believe that this project will help many people especially the blind, with writing books, letters, articles, etc. So they can be integrated to activities and jobs reserved, until now, for people with the sight sense. My project also has 8 keys, when the person press a key combination the PC emits the sound of the letter. And when a word is completed the PC reproduce the whole word on the speaker. When the entire paragraph is completed there is an option to reproduce it. It has also other functions as erase everything, back space, etc. All these with the 8 keys. To control the system I used the parallel port of a PC, with a control program made in Visual Basic. Currently there are systems for the blind but are very expensive, they have a cost of approximately $900.00 US dollars, which is a high price to pay for some people. My project has a cost of $70.00 US dollars thus making it easy for a person who has a computer to be able to buy this keyboard. This project is being use in the “Blind Persons Training Center” of Tijuana city. They helped us to develop it, giving some ideas to improve it.