本實驗以市售本氏液與自製本氏液與葡萄糖、果糖、麥芽糖等還原醣反應，證明課本上以藍、綠、黃、橙、紅的顏色變化來顯示葡萄糖的含量多寡有誤。透過過濾觀察產物顆粒、濾液混色實驗、利用廷得耳效應以雷色光照射觀察產物顆粒大小、及溶液靜置、離心等實驗，發現藍、綠、黃、橙、紅顏色變化可能是奈米級(顆粒大小介於10-9~10-7 m)的紅色氧化亞銅，與藍色硫酸銅溶液混色結果，故不能以顏色變化來代表還原醣的多寡。若要定量葡萄糖，可由葡萄糖與本氏液反應的「顏色與反應時間關係對應圖」中，反應終點顏色(紅色)到達時間來定量葡萄糖。

本研究利用佛手瓜的卷鬚探討向觸性的原理。本研究大致分為兩部份，一方面我們在卷鬚中發現了含量極為豐富的構造，此一螺旋狀構造分布於維管束中，且用雙縮?詴劑檢測後發現其含有蛋白質，且不具有運輸水分的功能；並發現此一構造的分布疏密，會影響到螺旋內側外側以及切割後片段泡溫水的彎曲方向。此外，在進行卷鬚蛋白質電泳的過程中，我們發現使用含尿素的緩衝液萃取蛋白質的效果最佳，1克的卷鬚乾重約可萃取到5毫克的蛋白質，且蛋白質總量會隨著卷鬚的成熟而遞減。利用軟體比對及質譜分析八個蛋白質點，得知此八點的蛋白質為：malate dehydrogenase, oxygen-evolving enhancer protein 1, oxyen-evolving enhancer protein 2, calreticulin, peroxidase, stromal 70 kDa heat shock-related protein, and AP2/ERF and B3 domain-containing transcription repressor。由此可知，向觸性為植物經過一連串訊號傳遞後，對外界刺激的順應。

Arabidopsis thaliana bZIPs（AtbZIPs）是一群影響層面相當廣泛的轉錄因子，一半以上的 AtbZIPs 基因表現受到光的調控，且近九成的分子機制尚未明瞭，因此探討 AtbZIPs 在植物光調控機制中所扮演的角色將是個有趣的課題。AtbZIP16 與 AtbZIP17 皆被推測會參與光的調控機制，然而迄今少有文獻針對這二個轉錄因子進行更多的研究。因此，我們想藉由細菌單雜合系統（Bacterial one hybrid system）的方法，找出能與 AtbZIP16 與 AtbZIP17轉錄因子結合的 DNA 序列，以瞭解此二轉錄因子調節下游基因表現的分子機制，並探討其在光訊息傳導途徑中所扮演的角色。針對 AtbZIP16 與 AtbZIP17，本實驗分別找到了 7 與10 種可能的結合序列。首先，經由資料庫比對分析，我們發現其序列上帶有的 motifs 功能，主要參與在光調控、環境逆境反應機制、組織發育、賀爾蒙調節、病原菌防禦、鈣離子訊息傳遞等方面，其中又以光調控佔最大的比例。再者，藉由將 motifs 的功能繪製成文氏圖，並與 HY5 （AtbZIP56）做比較，結果顯示，這三個轉錄因子雖同屬於 AtbZIP family，據推測皆受到光的調控，可能參與某些相似的生理調節過程，但都各自具備不同的功能，影響植物體的發育。如此的差異，表示他們有實質上的不同，值得我們更深入的研究。整體而言，本實驗結果除了說明 AtbZIPs 的功能確實廣泛之外，也顯示AtbZIP16 與AtbZIP17 是執行光訊號傳導很重要的調控因子。Arabidopsis thaliana bZIPs (AtbZIPs) is a group of transcription factors affecting a wide range of responses in Arabidopsis. The expression of more than half of the AtbZIPs is regulated by light, and the molecular mechanism for roughly 90% of these AtbZIPs remains unknown. Therefore, the roles AtbZIPs play in Arabidopsis light signal transduction is an interesting topic to pursue. AtbZIP16 and AtbZIP17 have been suggested to participate in the regulation mechanism mediated by light. However, only limited studies for these two transcription factors have been previously performed. For this reason, we intended to determine the DNA-binding sequences for AtbZIP16 and AtbZIP17 via the bacterial one hybrid system to reveal their target binding sites in the promoter region of their downstream genes and to speculate their possible biological function especially in light signal transduction pathway. We have identified 7 and 10 possible recognition sequences for AtbZIP16 and AtbZIP17, respectively. Using motif-finding programs analyses, we found the motifs identified are mainly involved in light and stress signaling, tissue development, hormone regulation, pathogen defense and Ca2+ signaling. Among these regulation pathways, sequences involved in light regulation owns the highest proportion. Furthermore, a Venn diagram was generated to compare functions of genes regulated by AtbZIP16, AtbZIP17 and HY5. Results revealed that, although these three transcription factors all belong to the AtbZIP family and are predicted to be regulated by some similar physiological regulation process (e.g. light), they still possess distict biological functions in plant development. Further studies are thus required to put these transcription factors into their shared and unique biological context. Taken together, the results of this experiment not only indicated light is a key regulation factor for AtbZIP16 and AtbZIP17, but also showed the function of AtbZIPs could be diverse.

很多人都有泡奶粉的習慣，卻偶爾會發現在舀完奶粉後，會有少許奶粉殘留於桌面上,仔細的觀察後發現~舀奶粉時塑膠匙上有叢狀奶粉聚集，且部分奶粉會噴射出去,若奶粉是一般的電偶，理應在排列好後維持穩定的位置，相反的，若奶粉有帶上與塑膠匙面同性的電荷，它應該不會沾附於匙面，而是被斥離。但我們的觀測結果卻同時包含以上兩種現象，我們對此感到好奇而展開研究。

傳統的畢氏定理三元二次不定方程x² + y² = z²有一組漂亮的整數解為(m² - n²、2mn、m² + n² )；中國數學家嚴鎮軍、盛立人所著的從勾股定理談起一書中記載四元二次不定方程x² + y² + z² = w²的整數解為(mn、m² + mn、mn + n²、m²+ mn + n² )，這組解被我們發現有多處遺漏，本文以擴展的畢氏定理做基礎修正了他的整數解公式，並推廣取得N 元二次不定方程的整數解公式。 There is a beautiful integer solution formula for the Pythagorean theorem equation, x² + y² = z² , such as (m² - n² , 2mn ,m² + n² ). The “m＂ and “n＂ of the solution formula are integer number. A book written by two Chinese mathematicians, Yen Chen-chun and Sheng Li-jen who expanded the Pythagorean theorem equation to the four variables squares’ indeterminate equation, x² + y² + z² = w² . They claimed that they found its integer solution formula, such as (mn , m² + mn , mn + n² , m² + mn + n² ) for any integer “m＂ and “n＂. But we found it losses many solutions. This paper corrected their faults due to the expanded Pythagorean theorem built by ourselves. Further more, we derived a general formula of N variables squares’ indeterminate equation. Now, we can get integer solutions of the equation, (for all natural number “n＂) easily by choosing integers m1 , m2 , m3 ,……, mn−1 up to you.

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.

本研究以蒸餾水加熱葡萄皮、紫高麗菜及火龍果皮的方式，萃取深色果皮或菜葉中所含花青素，並以自製實驗裝置檢測其花青素萃取液具有遮白光及紫外光效果。萃取過程中發現將果皮乾燥處理、改用甲醇或乙醇當溶劑來萃取花青素，上述方式都會加快及提升花青素萃取的量。自製防曬乳中加入火龍果皮的花青素萃取液，其遮紫外光效果(電阻值)約為未添加花青素萃取液的1.5倍；將火龍果皮乾燥處理並以甲醇為溶劑的花青素萃取液，在添加工研醋當染媒劑的情況下，麻布染色定色效果佳，且其遮擋紫外光能力(電阻值)遠較未經處理的麻布優異。

The main purpose of this study is to explore whether fruit flies (Drosophila melanogasters which background is 2U) can distinguish and memorize different colors and smells by learning. Futhermore, to find out the relation between age and learning ability, and analyze the influence of repeated training on how long the memory would last. According to our experiment, in smell training, the fruit flies are able to distinguish and memorize different smells, and young fruit flies have better memory than old flies. In color training, the fruit flies can distinguish and memorize different colors, but the effect was less than that of smell training. In intensive learning, proper times of learning increased the memory ability, but excessive learning exhibited an opposite effect. In the labyrinth experiment, we select and nurture the fruit flies having the best color memory in order to further understand the gene correlated with the memory learning. In addition, in one-time training, fruit flies are able to remember the smells and colors in four minutes, and young ones have the better ability. In six-time training, fruit flies have the ability to remember the smells and colors in twelve minutes. In the end, we hope you can know more about the learning and memory ability of fruit flies through our report. 本實驗主要探討果蠅是否可經由學習分辨、記憶顏色與氣味，並探討年齡與學習能力的相關性、分析多次訓練對記憶時間的影響。由實驗結果得知，氣味方面，果蠅有辨識記憶氣味的能力，以年輕果蠅的效果較佳；顏色訓練方面，果蠅亦可分辨記憶顏色；密集學習方面，適當學習次數內，有助於增加果蠅的記憶能力，但過度的學習刺激會降低學習效果。並且，我們選顏色訓練中記憶較佳的一組進行迷宮實驗，經三次的岔路選擇，選出對顏色記憶最佳的果蠅，希望能探討訓練過的果蠅子代能否有較優良的記憶。至於記憶時間方面，一次氣味學習，果蠅在四分鐘內皆有記憶，且年輕果蠅記憶效果較強，達六分鐘；另外，多次氣味學習，果蠅於第四次訓練效果最佳，且記憶能力可達十二分鐘。希望藉本實驗報告，以期更瞭解果蠅學習與記憶的資料。

The natural fruits of soap berry are worth-while detergent in the aspect of environmental conservation. It has been shown that the soap berry fruits can reduce the itching of head and inhibit the growth of fungi. Here we would like to test the inhibitory activity of soap berry fruits on the bacteria. This might benefit to the further application of the soap berry fruits. First,the soap berry extract was prepared and mixed with E.coli or S. aureaus. The number of bacteria was counted to realize the inhibitory activity of the soap berries. We found that the soap berry extract can inhibit the growth of E.coli and S. aureaus. Higher concentration of the soap berry extract and longer duration for the mixture make better inhibitory activities. 天然的無患子果實是一種極具環保價值的清潔劑，已知它有抑制黴菌生長的能力，可以 去頭皮屑、止頭皮癢。因此，我們想進一步探討無患子果實對於細菌生長的抑制能力，以期 了解無患子清潔劑在廣泛推廣上的應用價值。 在實驗設計上，我們自製無患子萃取液，並選擇日常生活中常見的大腸桿菌及金黃色葡 萄球菌，並然後使菌液與適量的無患子萃取液混合，計算菌液在加入無患子之前、後的細菌 個數，藉以了解無患子的殺菌力。我們發現無患子萃取液對大腸桿菌及金黃色葡萄菌有明顯 的殺菌力，且無患子濃度愈高、作用時間愈長，殺菌力愈好。

由於一氧化碳之毒性氣體無色無味且不易發現，對我們的生活造成嚴重的威脅，本作品建構出一套可發布警報、能在極短的時間轉化一氧化碳的毒氣淨化器，也進而說明其獨特性與前瞻性。 \r 本研究的核心，在於室溫下能啟動金觸媒的轉化機制，亦針對平常少被討論、以含浸法製作的金觸媒加以分析和提升，發現利用NH4OH 鹼溶液處理方式並以573K 的O2?燒處理活化觸媒，能有效提升1%Au/Al2O3觸媒對CO+O2的反應活性。使用相同製備方式在Au/TiO2觸媒上於250K 即可達到100％的CO 轉化率。創造一個簡易的流程來製備高活性的觸媒，其作用活性的範圍溫度也相當廣。 \r 本淨化器在實驗中的運作狀況下，能完全轉換一氧化碳含量至低於中毒安全標準內，本系統還設計一道封閉閘門，有利於金觸媒的活性封存。 \r 本作品具有較低成本的觸媒量產流程與材料，觸媒本身也可回收後再活化，此能更符合觸媒市場需要；機體器材替換容易、安全性高等能有效避免中毒意外的發生。