目標，是蓋棟個人的環保雅房。 環保這名詞並不陌生，我們想做出一棟綠建築，一棟能搭上太陽能板的環保建築，為了能讓太陽能板在太陽不同位置的照射下發揮最大的效用，因此我們開始考慮到房子形狀結構，後來我們想到了〝 球體 〞綠建築。 我們發現幾何學的阿基米得多面體中的巴克球，其頂點結構是最接近球體足球的，而足球是個眾所皆知的球類運動，在你足下的球看似平凡，但也可以是棟房子！現在我們就要用足球的結構，也就是巴克球中的正32面體 ，由12個五邊形與20個六邊形所組成的結構 , 蓋出球體型建築。

Starting from the problem in AMC competition of Australia, we try to find out the locus and its length when a point in a regular polygon rolls in a circle. The result is that the locus has a wonderful and regular cycle.Next, we discuss the regularity of the cycle when a regular polygon（n sides） rolls in another regular polygon. Furthermore,we discuss the the equation of the locus by changing the radius and the angle of rolling. we find out the argument function of the locus of a point inside when a a regular polygon（n sides）rolls in another regular polygon （m sides）： ， Aj is the summits of the regular polygon（m sides）, Bjcorresponds Aj when a point inside the regular polygon (n sides) rolls, ) And then, we do some moving simulation with some computer math software, such as Cabri Geometry、Mupad, etc. We discuss the regularity of the locus and its equation of a point inside when some special cycloids, like asteroids, cardioids, etc, roll in a certain condition. Moreover, with the result of research 2, we create the “plate＂ and apply for a patent on it. We hope to study math by playing games. 從澳洲AMC 競賽題出發，嘗試探討一正n 邊形中的一點在單位圓內滾動軌跡及其軌跡長度，發現該軌跡均會產生奇妙的循環規律。 接下來，推廣探討正n 邊形在其他正多邊形中滾動時循環的規律，並利用旋轉半徑及角度之間的變化深入探討其滾動軌跡方程式，發現正n 邊形繞正m 邊形滾動時其內部一點軌跡參數式為，其中， Aj 為 正m 邊形之各頂點、Bj 為正n 邊形中內部一點旋轉時對應 Aj 之點，。 進一步想嘗試使用數學電腦軟體如：Cabri Geometry、Mupad 等對以上研究去做一些動態模擬，並再探討一些特殊擺線如：星狀線、心臟線…等，在條件下相切滾動時，圖中某一點的軌跡規律性及其方程式。另外，應用研究二中的結果，創造出寓數學於遊戲的「圖形板」，並申請了新型專利。

我們在無意中的觀察發現明礬能抑制鐵生鏽，於是我們更進一步去觀察鐵片在相同濃度不同鹽類溶液中的生鏽的情形，接著觀察鐵片在不同濃度不同鹽類溶液中生鏽的狀況，發現含鋁離子溶液不易生鏽。我們觀察明礬溶液中鐵生鏽的情形發現，明礬在特定低濃度（0.005M~0.0005M）時有較好的防鏽蝕效果，於是我們進一步探究其原因。經由鋁離子在會使鐵生鏽的食鹽溶液中對鐵生鏽的防護情形，利用鋁試劑、X 光晶體繞射以及紅外線光譜儀檢驗鐵上的薄膜物質，確定其為氫氧化鋁，再用解剖顯微鏡觀察鐵上薄膜附著的情形知，明礬水溶液確實有抑制鐵生鏽的效果，其機制為鐵腐蝕產生二價亞鐵離子溶出後，在鐵的表面會形成緻密的氫氧化鋁保護膜，而且鋁離子濃度在 0.005M~0.0005M 時效果最卓越。

有一次上實驗課時看到鄰桌的同學正以實驗室的毛細管吸吮一瓶\r 葡萄汁，每當他吞嚥時，毛細管內殘餘的葡萄汁竟然以近似等速的狀\r 態降回果汁瓶裡，這似乎違背了重力加速度的常理，是毛細管的影響\r 嗎？還是葡萄汁特有的現象？這與毛細管插入葡萄汁的深度有關嗎？\r 這一連串的問題皆因升學壓力而無暇深究。\r 升上高中的那年暑假，我參加了學校舉辦的資優科學營，在物理\r 實驗課中恰好遇到了以毛細管測量液體黏度的實驗，使我有機會深入\r 思索毛細管內液體流速的問題。這個實驗很不好做，要調整兩個定高\r 容器，使水平毛細管兩端產生固定的壓差，讓流經管內的液體為等速\r 的流動。大家手忙腳亂地操作了近三小時，測出來的黏度不僅和老師\r 公布的答案差距甚大，而且各組同學所測得之結果也大相逕庭，不過\r 我們都體驗到了液體黏度對流速的影響。\r 實驗的誤差為什麼那麼大？扣除人為操作誤差後儀器本身還有多\r 大改進空間？有否更精簡的方法測量黏度？毛細管中液體的流速真\r 是固定的嗎？把毛細管斜置或是垂直架置，流速還會固定嗎？重力不\r 會影響流速嗎？若流速真為固定的，如何控制或改變流速呢？是否可\r 以利用流速來測出液體黏度？\r 由於我對這個實驗的專注，在學校選修的專題課程中即以此為題\r 目做長期的研究，在老師的指導下，我和同組同學不停地查閱有關書\r 籍及整理資料，漸漸研究清楚原理後定出實驗計畫，並開始購買材料\r 與工具，長期地動手實驗及改進，兩年來我們利用毛細管中液體的等\r 速及不等速流動的特性，發展出了兩種既精簡又準確的液體黏度測量\r 法，以下就是整個研究及創作的過程。\r \r \r The viscosity is one of the most important parameters of the fluids. In conventional viscosity experiments, capillary-based viscometers are widely adopted because of their user-ready devices and moderate prices. However, to accurately measure the viscosity, the fluid velocity must be kept constant; otherwise, the fluctuation may cause the serious deviation. Besides, traditional capillary viscometers often require a long time to make the measurement. This research aims at exploring the capillary fluid mechanics and developing accurate and rapid methods to measure the viscosity. In this study, we developed two creative viscosity-measuring methods, the gravity sloping helical structure and the gradational liquid-level difference, and constructed two cost-effective capillary viscometer prototypes accordingly. The gravity sloping helical structure employs a long helical capillary as the flow channel and utilizes the gravity force to keep the fluid velocity extremely constant. The highlight of this method is that we can see the fluid flow through the capillary directly. On the other hand, the gradational liquid-level difference method uses the pressure sensors to precisely monitor the liquid-level difference, which drives the flow in the capillary, and allows automatic measurement of viscosity. Compared with computer simulation, the experimental results agreed well with the theoretical values. The gravity sloping helical and gradational liquid-level difference methods achieve 0.5% and 0.8% accuracy respectively. In addition, the automation of viscosity sensing also greatly facilitates the viscosity measurement. Furthermore, these two methods are both valuable for incorporating into educational purpose and industrial application.

「數字天平」常出現數學益智題目裡，或當作數學競賽訓練題，但本研究的數字天平是採用新的條件，此題於2011年1月在某研討會被提出來，當日與會者沒有人解出，題目如下：一個天平支點的左右兩側，每隔一個單位長各設一個掛勾，今有n個砝碼，其重量分別是1,2,3,...,n 個單位重，設定條件如下： 1.n個砝碼都必須要被掛上 2.每個掛勾下最多只能掛一個砝碼， 3.不考慮掛天平本身、掛勾及掛勾下細繩的重量。在天平力矩平衡的情況下，設支點左側掛有砝碼的最長力臂為L，支點右側掛有砝碼的最長力臂為R，規定符號Wn:{1,2,3,...,n}，其L+R的最小值記作R(wn)。問L+R的最小值為何。本研究得到的結論有二個部份，第一部份為： 1.R(w2)=3，R(w3)=6，R(w4)=5。 2.當n≧5，R(wn)=n。第二部份是研究重量一般化的情形，探索了任意n個相異整數重量的砝碼，得到L+R最小值大於n單位長的一些充份條件。

The purpose of this project is to determine if it is possible to use Ascorbic Acid Sodium- Dependent Vitamin C Transporter Type II, SVCT2, as an effective and safe protein to attach to certain brain tumor treatments to bypass the Blood Brain Barrier (BBB). Stemming from this problem, a procedure was created to use in vitro engineering with the aid of a professor at the University of Calgary to combine SVCT2 and three specific tumor treatments; Imatinib Mesylate (STI-571), Temsirolimus (CCI-779), and Suberoylanilide Hydroxamic Acid (SAHA). Following this, a metabolic barrier had to be created to simulate the BBB. To do this, the use of three enzymes were mixed and held together using specific bonds. Finally, a special bio-tracer was placed within the barrier to detect any toxic effects that may be produced. Then two trials were made with each treatment on the barrier at 34°C, 37°C, and 39°C. Once this was done observations could be made. When the newly isolated SVCT2 attaches to the three cancer treatments, they would all be able to connect and form bonds with each other. Once the incubation period is over for the first trial at 34°C, 37°C and 39°C, several things would be observed within the data. When counting the number of cells that were able to get into the engineered metabolic barrier, it could be seen that there was a dramatic increase in the number of cells in the 37°C range. SVCT2 can be a powerful tool in combating cancer. Because of its specificity, it may prove to be more advantageous over the currently used drugs which may have unwanted toxic side effects on the CNS. In the near future, SVCT2 could have the potential to be adopted as a promising therapy against cancer and certain tumors. Furthermore, SVCT2 has the potential to be applied to many situations and can be modified to fit a number of situations that deal with getting past the Blood Brain Barrier. Initially, SVCT2 was only modified with three forms of treatment for Glioblastoma Multiforme, STI-571, CCI-779, and SAHA, however there are countless other treatments that have been developed, but that are not in use due to the BBB. This project was successful in determining an appropriate temperature of 37°C for the procedure to be used. The limitations of this experiment include the fact that this experiment was performed in vitro and so complexity among individuals cannot be analyzed. However, this is an early step for the future of SVCT2 as a treatment, and clinical trials to test SVCT2 in vivo may not be too far off.

植物的枝條置入添加色素或鹽類的水中，會出現葉子枯萎、葉柄下垂的現象，此與滲透作用所產生的質壁分離現象有關。本研究將文珠蘭的葉片表皮製成玻片標本，分別滴加蔗糖、鹽類、重金屬溶液及有機溶劑，靜置 30 分鐘後在顯微鏡底下觀察並統計細胞出現質壁分離現象的比例。實驗結果發現，相同濃度的蔗糖溶液對細胞質壁分離現象之影響較鹽類及重金屬溶液低；溫度在 20℃?50℃細胞發生質壁分離的數目有隨溫度升高而增加的趨勢；但在溫度 0℃?25℃的範圍內，溫度越高，質壁分離現象反而較不明顯；比較不同部位的細胞，發現下表皮較上表皮的細胞不易發生質壁分離現象，保衛細胞「質壁分離」現象則較表皮細胞輕微；在不同生活環境的文珠蘭，細胞發生質壁分離的現象也有差異，生長在旗津海邊的文珠蘭，其葉片細胞的質壁分離顯然較市區校園栽種的植株需要較高濃度的溶液才會發生，此應與其對海風及鹽霧吹襲的適應能力有關。在滴加清水後回覆情形以蔗糖、丙酮較為良好，重金屬及鹽類離子較差。質壁分離現象在生態上，可作為研判植物枯萎究竟是因為環境的高鹽度、重金屬溶液或有機溶劑的影響，或是因缺水而導致；也可作為預測植物是否耐鹽及適合生存於高溫或低溫等環境的參考，更可作為選擇何種植物來綠化當地環境的指標之一。

我們參加學校的活動中，對陀螺產生了興趣。在老師的指導下，從事了各種不同的實驗。在實驗中，我們發現了不同的操縱變因，會對陀螺的轉動產生影響；也發現了，當陀螺在轉動時，會產生一股力量，使小白球、衛生紙條、煙霧等繞著陀螺運動。

We operated the misexpression screen between the EP lines and the pattern lines with the genotypes of eq1>dll, eq1>abdA, eq1>Ubx, eq1-GAL4, ey-GAL4 or dpp-GAL4. After the screening, we found that five of these 1,800 strains of filial generation had special phenotypes. It had shorter antennae and defects in the anterior equatorial region of eyes. We used plasmid rescue and IPCR to sequence the certain target gene, and found that it was escargot, abbreviated as esg. To identify when, where and how the overexpression of escargot induces such phenotype, we operated the staining of eye-antenna disc in third-instar larval period of wild type, eq> esg×UAS-GFP and eq>GFP with anti-dll, anti-caspase3 and anti-esg. The result shows that escargot cannot be detected before puparium formation. But the expression of dll, a gene controls the eye development, was reduced in the eye disc. We except the overexpression cause the defect of distal antennae and the anterior equatorial region of eyes mainly in the 3-day-long pupal life.我們用異位表現法篩選出和eq1>dll、eq1>abdA、eq1>Ubx、eq1-GAL4、ey-GAL4或dpp-GAL4 這些pattern lines有交互作用的EP lines。在這1800種的果蠅子代品系中，有五種具有特殊的性 狀。它們具有觸角短化以及複眼前緣中央區有缺刻的現象(形成心型眼)。我們使用質體救援 法以及IPCR的方法來定序這段未知基因序列，發現這是一個叫做escargot的基因(簡稱esg)。 為了了解過分表現此基因會造成何種分子影響，以至於產生此種性狀，因此我們使用 anti-dll 、anti-caspase3 和anti-esg 進行野生型、eq>esg×UAS-GFP 和eq>GFP 三齡幼蟲的 eye-antenna disc的螢光免疫染色。結果在幼蟲成蛹前都沒有偵測到esg的表現現象；不過在eye disc中，控制眼睛發育的基因dll的表現有被抑制的現象。因此我們推測過分表現esg的過程因 該是發生在為其短短三天的蛹期。也就是說，這種表型應該是在化蛹後形成。

近來嘗聞野蜂螫人，而使人致死之報導，我們又常在野外郊遊露營而被蜜蜂螫到的機會很多；因而激發人類以台灣土法治療，即以蜂血淋巴塗於蜂螫之處。又得知注射抗組織胺(Antihistamine )可為藥方，並根據所得資料，察知蜂毒之影響是多方面的。因而希望藉生理實驗之簡易方怯，來觀察並討論蜂毒及其解毒物質對青蛙之心臟、肝臟、肺臟溶血作用和肌肉收縮之影響情形。

「工欲善其事，必先利其器」，教師教學必須使用教具，尤其自然科學更需要教具來協助學生完成教學目標。在一項對低年級教師非正式的調查結果顯示：大多數的教師認為目前小學自然科學實施扔然有些問題值得商榷：(一)課程內容，在都市的兒童缺乏生物的學習環境，在鄉村的兒童缺乏理化儀器及藥品的補給；所以教具的搜集與補充感到困難。(二)政府配發的教具，未附使用說明書，教其規劃整理頗費時間。所以我們研究「教具玩具化，玩具趣味化」來解決實際的問題。

我們會做這個實驗是因我們在上美勞課時，由老師所提共的刀片大部分都已生鏽，造成我們使用上的困擾，也因此讓我們探討起鐵生鏽的相關知識。此實驗最主要能補充課程教材所不足的部分，這學期牛頓版自然科第十二冊第一單元也在探討鐵生鏽相關的課程，我們的實驗驗證了鐵生鏽的條件必須要同時有水和氧的存在。這部分課本並沒有詳述，一般我們同學都會認為鐵釘放入水中就一定會生鏽，為了能控制變因，我們把水加熱，滴入油覆蓋，製造無溶氧的水來證明鐵釘在只有水沒有氧的情況下不會生鏽，同理也製造無水汽的氧來證明鐵釘在只有氧沒有水的情況下也不會生鏽。最後我們使用乾燥劑和利用碳對氧的活性大來防止刀片的生鏽，效果相當的好，也完成當初我們所設定的問題，也要特別感謝老師的指導。