全國中小學科展

三等獎

Wonderful Bubbles-不同立體框架與形成之肥皂膜的關係

如果將各種形狀不一的中空框架放入肥皂水中,框架上會結構出不同形式的\r 肥皂膜。本研究中包含了許多不同的實驗以探討各種常見錐體、柱體的肥皂膜形\r 狀,其邊數對肥皂膜面數的影響,及肥皂膜面積和模型邊長的比例關係。\r 第一部分的實驗中,我們探討不同的溶液、不同濃度對形成肥皂膜面數、模\r 式的影響;第二部分的實驗討論了n 角錐所形成的肥皂膜模式,並且得到其形成\r 的肥皂膜面數與角錐邊數n 存在著「肥皂膜面數= 3n - 3 」的關係;第三部分的實\r 驗討論了n 角柱所形成肥皂膜的模式,得到肥皂膜面數與柱體邊數n 存在著「肥\r 皂膜面數= 3n +1」的關係,其中三角柱為例外,一共只形成九面肥皂膜;第四部\r 分則討論了正八面體等其他形狀的模式;第五、第六部分的實驗則分析了肥皂膜\r 的大小與框架比例間的關係。

排印OnLine-PHP 在文字圖形的應用

從小習染之餘,對篆刻藝術的濃厚興趣及對電腦程式之熱愛,萌生將篆刻藝術與電腦 科技結合,於是應用PHP(Professional Home Page)的文字圖形(Text Image)處理功能 將中華文化之篆刻藝術透過網際網路推廣到世界各角落。本研究規劃建置了一個 FreeBSD Server 可完善處理PHP 功能的作業平台、應用PHP 的文字圖形處理功能,編 寫可在線上DIY 設計印章的程式,以及藉由Java Script 的技術在Client 端建立一個人 性化且相容性高之使用者界面網頁,達到提供多語系、多功能、依使用者偏好作調整 印章及輸出分享的功能。為使非漢語系國家能深刻體驗中華篆刻藝術,本研究同時建 立一個超過三萬筆之由英文名音譯中文名的資料庫,提供給使用者切身的服務。 Inspired by the interest of the art of seal engraving and the love for the computer programming beginning from my childhood, I combine the art of seal engraving and computer technology, and apply the Text-Image's function of PHP to promote the seal-engraving art of Chinese culture via the Internet to everywhere around the world. This project constructs a FreeBSD Server to process PHP platform perfectly, applies the Text-Image's function of PHP to write a program for online DIY pattern design, and uses Java Script to establish a human and compatible user-interface web page for clients to provide multi-language, multi-function, and being able to adjust pattern according to the user's preference and output sharing functions. This project also sets up a database of English-Chinese translation of over thirty thousand English terms to help people who are not Chinese to experience the art of seal engraving.

Dioscorin 對塵?造成氣管上皮細胞傷害的保護性之研究

古籍上記載山藥益肺氣,養肺陰,且最近研究報告發現山藥含有珍貴的dioscorin,其為山藥貯存養分的重要蛋白質,有抑制胰蛋白水解?之活性。而塵?糞便、屍體中的消化蛋白?會破壞呼吸道上皮細胞緊密連接處引起過敏氣喘反應。我對此甚感興趣,進而利用山藥的萃取蛋白dioscorin、塵?粗萃取蛋白及呼吸道上皮癌細胞A549,藉細胞培養、免疫螢光染色、螢光顯微攝影來實驗山藥是否真能保護上皮細胞緊密連接處。再利用膠體電泳、西方墨點法中抗體的高專一性、二抗的高靈敏度來確知我之前的實驗。另外也用ELISA 來實驗dioscorin或塵?引起A549 發炎的情況是如何。由實驗得知,dioscorin 可抑制及預防塵?引起的過敏氣喘反應;而經由ELISA 實驗發現,dioscorin 對於塵?刺激A549分泌發炎物質Eotaxin 並沒有助長或是降低的效果。It was believed that Chinese yam have benefits in treating asthma. Recently, it was found that the valuable dioscorin can be isolated from Chinese yam. The major function of dioscorin is nutrition-storage, however, it also have activities in inhibiting trypsin-like protease. This inhibitory activities trigger my interests. Because the major allergens, mites, and their stool may destroy the tight junctions of airway epithelium cells through their trypsin-protease activities. I therefore carry out an in vitro study to identify whether dioscorin can be used in protecting epithelium from the attack of mites. My results showed that dioscorin can protect the tight junctions of A549 cells from the attack of mite crude extract protein. I believed that dioscorin can be a good candidate in pharmacology application. The genetic and proteomic information are my further focus. On the other hand, we also investigated the possible activity of dioscorin in inhibiting mites-induced inflammation through using A549 as a model and employing ELISA. We found dioscorin neither inhibited nor enhanced the eotaxin being secreted from A549 under the stimulation of mites.

製作簡易STM

掃描式穿隧顯微鏡(Scanning Tunneling Microscope),是在奈米尺度下觀察物體表面的一大利器。但一台精密的STM,造價動輒數百萬元新台幣,本研究嘗試利用簡單、便宜的材料,製作一台簡易的掃描式穿隧顯微鏡。眾所皆知:掃描式穿隧顯微鏡的關鍵,就是量子力學中的穿隧效應原理,及壓電材料的應用,所以這些主題都是本實驗涉及的內容。除此之外,我們也運用簡單的物理原理,取代價格高昂的儀器,例如:利用彈簧代替昂貴的避震系統等。此研究利用穿隧效應的原理,並進而利用電腦得知樣品表面的結構,以達顯微鏡觀察分析物體之功用。 ;The major purpose of our project is to assemble a simple scanning tunneling microscopy with cheap and available materials for ordinary senior high school students. For example, we use springs for damping instead of electromotive force device. Weweld all the electronic circuit boards for ourselves in order to not only lower the cost but also inspect the inner structure more clearly and precisely. After the microscopy is assembled, we will use it as an appliance to observe the samples of nano-particles. We must repeat this procedure several times so as to make sure that the images we’ve gained is true, not just some disturbances produced by the environment. Finally, the microscopy can be applied to research fields as well as academic courses.

酒杯發出之音符

When you draw a wet finger around the edge of a half filled wine glass, a sweet musical sound comes forth. The pitch of this sound is directly correlated to the amount of liquid in the glass- the higher the height of the liquid is, the lower the frequency is. It means that the shorter the air column in the glass is, the lower the frequency is. This phenomenon differs from the variance in pitch in a wind instrument. In a wind instrument such as a flute, the shorter the air column in its chamber is, the higher the resulting pitches are. In order to study the wine glass phenomenon, we used a piezoelectric crystal loudspeaker connected to an oscilloscope. We recorded the resulting data by using a digital video recorder to capture the images of the waveform of sound, and than analyzed the waveform by using the computer. Our conclusions are as follows: 1. The frequency of sound thus produced was the same whether we draw our finger around the rim, or we strike the glass rim. The higher the height of the liquid is, the lower the frequency is. But the frequencies vary when we strike the glass and when we blow on the edge. 2. When we used a glass without liquid in it, the frequency emitted when we drew our finger around the edge, this frequency varied inversely as the cube root of their weights. 3. In a glass with liquid, the emitted frequency did not have any correlation to the weight of the contents. By taking two identically filled glasses and placing in each a solid object of the same size but different weight, we were able to see that there was no change in the frequency emitted between the two glasses as long as the height of the liquid remained constant. 4. According to “The Flying Circus of Physics”, if we tap the side of a glass of beer, because of the air bubbles in the beer, the frequency emitted will be lower than that from a glass of pure water. This is according to the book, because the speed of sound is lower in air than in water, therefore the speed of sound in an air-water mixture would be lower than in pure water. The resonant frequencies of the mixture will also be lower. However, in our experiment, we discovered that\r when the glass contained air bubbles, the frequency emitted higher. Our explanation is that the sound emitted since the rim of the glass oscillated transversely, the frequency depends only on the retard of the rim and that the frequency is independent of the speed of sound. The intention of this research is to clarify the many misconceptions of this interesting phenomenon.以溼的手指在玻璃酒杯邊緣摩擦,會有悅耳的聲音,而且頻率會隨著內裝液體減少(空氣柱變長)而變高,這種變化與管樂器隨空氣柱的變長而音調變低不同,為了研究它的原因,我們利用壓電晶片喇叭連接到示波器上,並且利用數位錄影機錄下示波器上的訊號,再以電腦分析出瞬間的頻率,結果發現:一、摩玻璃杯與敲玻璃杯,杯所發出之頻率相同,都是所裝液體愈多發出之頻率愈低。但敲玻璃管與吹玻璃管所發出之頻率不同。二、不裝液體之高腳杯,摩擦時所發出之頻率與重量之立方根成反比。(與鐘相同)\r 三、裝液體之高腳杯發出之頻率,不再與總重量有關,而是與液體之高度有關,保持液體高度不變,即使在杯子中央加入不同重量之固體,杯子振動頻率還是不變。若改裝不同密度之液體,則密度愈大頻率愈低。四、在“The Flying Circus of Physics”書中提到輕敲裝有啤酒之杯時,會因杯中含有氣泡而聽到較低之音調,書中解釋是”空氣中之音速低於水中之音速,混有空氣之水中音速變低,其共振頻率也會降低。”但我們的實驗結果是有氣泡時頻率反而高。我們的解釋是杯子所發出之聲音是由於杯面之振動也就是杯壁的橫向振盪,振盪頻率與液體對杯壁之阻尼有關,但與液中聲速無關,密度愈大之液體阻尼愈大。有氣泡時接觸杯壁之液體變少,阻尼較少所以頻率高。希望本研究能使大多數人對這有趣之現象不再有誤解。

食品粉末在高電場下噴發行為之研究

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。

湖光山色下的哀愁--由漂浮的琵琶鼠魚探討外來入侵種與放生行為

本研究自2005 年12 月開始,以臺北市內湖區大湖自公園死亡的漂浮琵琶鼠魚(Many-rayed Sailfin Sucker Catfish )為主要研究對象,探討外來物種與放生行為對大湖生態系的影響。 研究期間共觀察到死亡的琵琶鼠魚隻數計有1085 隻,可記錄到個體形質資料的隻數為910 隻,背鰭棘數則有11 棘、12 棘、13 棘與14 棘四種,分析四種不同棘數的琵琶鼠魚後發現:在體長、頭寬及吻到背鰭長度均無差異(p>0.05),因此判斷所記錄的個體應是棘甲鯰科(Loricariidae) Pterygoplichthys 屬中的同一種魚種。由檢視魚體並分析記錄數量與環境因子相關性後推測:琵琶鼠魚死亡主因是劇烈起伏的溫度差異,其次是人為因素的刻意傷害。 所記錄到大湖池塘水棲動物有:環節動物、軟體動物、節肢動物、魚類、兩棲動物及爬行動物等六大類共34 種,其中外來物種有16 種,本地入侵物種有3 種,而這些外來動物進入大湖的主要管道應是由個人的棄養或放生行為所造成。琵琶鼠魚因繁殖能力強、具攻擊性、吞食其他魚種卵塊、可適應高污染水體及垂釣客對魚種的篩選等因素,而成為最具生存競爭能力的優勢魚種。不但造成大湖池塘呈現嚴重魚種單一化,更可由靜止水域大量擴散至流動水域。未來如何將政府相關部門、學術研究單位與民間社團等力量結合,共同防範大湖琵琶鼠魚的持續蔓延、宣導民眾正確的放生觀念、積極改善大湖水體污染狀況,並訂定完整之外來物種移除計畫,以期恢復大湖池塘物種歧異度,都將是刻不容緩的重要生態課題。;This research began in December of 2005. Focusing on dead floating Many-rayed Sailfin Sucker Catfish in Dahu Park, Nei-hu Distrct, Taipei city. We discuss the impacts of Alien and of behaviors of the release of captured animals on Dahu Park’s ecosystem. During observation period, there were totally 1085 dead Many-rayed Sailfin Sucker Catfish, of which 910 bodies were found. The number of the thorn bushes on dorsal fins includes 11, 12, 13,and 14. After analyzing four kinds of different thorn bushes, we find that no differences exist in Total length, Head width, Predorsal length (p>0.05). We hence conclude that the recorded object should be species with identical with Loricariidae Pterygoplichthys. With the inspection of the fish’s body and the analysis of the relevance of the recorded quantity and the environmental factor, we infer that the main reason of the Many-rayed Sailfin Sucker Catfish’s death is violent temperature differences and the second is attributed to human’s intentional abuse. The aquatic animals of Dahu Park amount to 34 kinds and six classes such as Annelida, Mollusca, Arthropoda, Pisces, Amphobian, and Reptilia. Among them, 16 kinds that are Alien and 3 kinds are Native Invasive Species. Intentional abandon and release behavior channel of these Alien to Dahu Park. Many-rayed Sailfin Sucker Catfish are highly productive, aggressive, and adaptable to highly polluted water. Besides, they eat ovums from other fishes. Moreover, they are not the fisher’s preference and hence often thrown back into pond once hooked . Thus, they become the most competitive survival fish species in Dahu Park. The high competitive ability of Many-rayed Sailfin Sucker Catfish causes Dahu Park to present a serious unification of fish species. This serious unification of fish species could also be spread from static water areas of Dahu Park to flowing water areas. According to our research, certain urgent ecological issues in Dahu Park are to take precautions against the spread of Many-rayed Sailfin Sucker Catfish, to promote the correct idea of releasing captured animals, to improve Dahu Park’s water pollution, and to stipulate a complete plan about eliminating Alien. Our research suggest that government’s relevant departments, academic research units, and folk corporations should be cooperated to achieve the above four goals. Once the four goals are achieved, we believe that the fish species of Dahu Park will be full of varieties again.

黑擬蛺蝶(Junonia iphita iphita)的幼蟲生存策略

黑擬蛺蝶(Junonia iphita iphita)為台灣地區常見的蛺蝶,其幼蟲具有築巢行為,但文獻中對其幼蟲行為的描述極少,因此本實驗探討黑擬蛺蝶幼蟲在野外的族群變化與環境之關係,並研究幼蟲築巢行為,以探討其適應環境的生存策略。首先於室內及恆溫生長箱中飼養幼蟲,以建立其生活史基本資料,並於野外統計各齡期幼蟲在不同植物上的數量變化及築巢行為的差異,以探討不同環境因素對幼蟲築巢之影響。由實驗結果得知,黑擬蛺蝶生活史短,可取食多種爵床科(Acanthaceae)之植物,其寄主植物除文獻所紀錄之台灣馬藍(Strobilanthes formosanus)及賽山藍(Blechum pyramudatum)等外,也取食大安水蓑衣(Hydrophila pogonocalyx)、無花水蓑衣(Hygrophila violacea)、易生木(Hemigraphis repanda)及翠蘆利(Ruellia brittoniana)等。黑擬蛺蝶幼蟲野外族群波動與溫溼度及雨量等環境因子並無直接關係。黑擬蛺蝶一年發生多世代且有世代重疊情形,世代波動與四季律動關係不明顯,顯示黑擬蛺蝶對環境的適應力大。黑擬蛺蝶幼蟲利用築巢以適應環境變化,應是其幼蟲良好的生存策略。且幼蟲在強風及光線強的環境下築巢率增加,降雨時則減少。Junonia iphita iphita belongs to Nymphalidae(Lepidoptera). They can be found easily in the wilderness of Taiwan. Its larva shows nest-making behavior. However, there is little literature documenting the behaviors of its larva. Therefore, the purpose of this research is to investigate the relationship between the quantities of Junonia iphita iphita’s larvae and its natural habitat, to research its nesting behaviors, and to investigate its survival strategies to adapt to the environment. I started by raising larvae in a growth chamber under a controlled temperature in order to obtain its initial information regarding its life history. In the field, I documented the numbers and the changes of larvae at each stage on different host plants and recorded the differences in its nest-making behavior in order to find out which environment factors influence the nest-making of Junonia iphita iphita’s larvae. These experiments concluded that the life history of larvae is short. The immature intaking habit showed that the larva takes various plants of the Acanthaceae. In addition to the host plants mentioned in the literature, such as Strobilanthes formosanus, and Blechum pyramidatum, Junonia iphita iphita’s larvae also live by Hydrophila pogonocalyx, Hygrophila violacea, Hemigraphis repanda, and Ruelba brittoniana, which were not listed in the literature. Through experiments, I discovered that there is no direct correlation between the population fluctuations of larvae and it’s enviroment including factors such as temperature, humidity or rainfall. Junonia iphita iphita can produce multi-generations in a year accompanying generation overlapping. There is also no obvious correlation between the generation fluctuations and changing seasons, showing that larvae can easily adapt to the environment. Junonia iphita iphita’s larvae adapt themselves to the different environments by nest-making which should be a good survival strategy. Besides, the rate of nest-making increases when larvae are under strong winds and strong lights and decreases when the rain falls.

六圓定理

在實驗中學2007 年校內科展,參展作品《三角形中的切圓》的研究中,研究三角形內的切圓時,發現連續切圓的圓心與拋物線的軌跡有關。於是去查資料,在偶然的情況下,翻閱《平面幾何中的小花》時,接觸了「六圓定理」。因為覺得這問題非常有趣,於是便著手證明(見報告內文)。 又發現,當移動六個圓中的起始圓時,總是在某種情況下,六個圓會重合成三個圓。繼續研究其重合的狀況,發現了馬爾法蒂問題(Malfatti's Problem)的一種代數解法。 當我試著推廣六圓定理至多邊形時,發現奇數邊的多邊形似乎也有如六圓定理般圓循環的狀況,於是著手證明,但目前尚未證明成功。而偶數邊的多邊形則無類似的結果。 ;In 2007 National Experimental High School Science Exhibition, one of the exhibit works, "Inscribed Circles in Triangles", shows that the centers of the consecutive inscribed circles has something to do with the parabola's trajectory. To learn more about inscribed circles and parabolas, I referred to literature. By accident, I am faced with the problem on six circles theorem, in the book The Small Flower of Plane Geometry(平面幾何中的小花). Out of my interest in this problem, I tried to prove it. The other results are as follows: With the initial circle of six circles moved, in certain circumstances, the six circles merge into three. Further in studying this coincidence leads to an algebraic method to solve the Malfatti's Problem. Applying six circles theorem to the odd-number-sided polygons exists the same characteristic. It indicates that the inscribed circles will form a cycle. However, it hasn’t been successfully proven. The even-number-sided polygons show no similar results.

創新儀器測量光的繞射與干涉之強度分佈

Light diffraction and interference are two of most basic experiments, but they’re the most powerful evident of wave properties of light. Due to the lack of high-quality and fairly accurate equipment, these important experiments are limited to the simple demonstration of the phenomena. Especially, the spatial intensity variations of diffraction and interference patterns are, however, completely not drawn to scale. In order to precisely measure the diffraction and interference patterns intensity, we consult lots of reference, search for suitable materials and reuse waste old and useless laser printers. Finally, overcoming disadvantages of time consumption and poor spatial resolution, we develop two accurate, practical and delicate methods. We use optical power control circuit created on our own to steady the brightness emitting of laser diode. Then the high linear photoelectric detector is stored on XYZ axis micro movement control platform. Next high degree of reflection rotating polygon mirror employing optical lever is collocated with low vibration blushless motor. Thus, a self-scanning intensity pattern plotter is accomplished. At the same time, it overcome difficulties like time wasting and low reliability during doing these kind of optical experiments. In this article these two dependable and worth popularizing measurements of light diffraction and interference is going to be introduced. 光的繞射與干涉實驗是光學中最基本的實驗之一,也是證明光的波動性質之最主要的依據。在一般的高中物理實驗室中受限於器材的等級與精度,只能對光的繞射與干涉做近似定性的實驗,尤其是繞射、干涉圖形上的光能量分佈,完全無法以現有的器材做精準的測量。 在這一年的專題研究中,我們小組針對測量光的繞射、干涉能量分佈為目標,參閱許多相關文獻,四處尋找適用的材料及零件,發揮廢物利用的精神,克服萬難,發展出兩種精巧、實用又準確的測量方法,我們以自行發展的光功率控制電路使雷射二極體的光度穩定,並且以高線性度的光感測元件裝載在自行設計的X.Y.Z微動機台上,同時利用光槓桿原理所構成的高反射度的旋轉六面鏡,配合低震動的無刷馬達,完成了一套能自動掃瞄繞射能量分佈曲線的測試儀,經實際使用相當地穩定可靠,可以快速而精確地獲得大量的實驗數據,比對這些數據不僅能驗證繞射理論,並能更深入地延伸理論的探討。