全國中小學科展

未代表出國作品

明察秋毫-金屬的熱膨脹

Thermal expansion exists in our daily life. However, thermal expansion is generally too slight to be seen by naked eyes. Therefore, in the present project, a dilatometer was assembled to enhance better sensitivity toward thermal expansion. Hopefully the self-assembled dilatometer could contribute to teaching purpose.The structure of our 4th generation dilatometer is showed below. Using an ‘L’ square to hang up the metal stick and a rolling needle with a mirror to reflect the laser light are the critical parts of this equipment. By using this special reflection mechanism, the slight expansion of a metal stick caused by heat can be enlarged to a large scale. This special mechanism is where our creativity laid. Measuring in millimeter (mm), the measurement precision of the equipment can be extended to 0.0001 decimal. Our dilatometer was used to measure the expansion of various metal sticks caused by the temperature changes. Results were drawn from analysis of the data: 1) The average relative deflection was within 1.0~1.8%; 2) The relative deviation of linear thermal expansion coefficient was within –1.2~-4.4%. 物質熱漲冷縮的特性普遍存在於我們的生活環境中,但因其變化量相對微小,一般並不容易直接觀察,爲了進一步研究這課題,我們組裝偵測熱膨脹的儀器,並希望儀器的靈敏度高,能推廣為教學器材,經過我們不斷努力與改良,終於有了令人愉悅的成果。 自製第四代熱膨脹儀的結構如圖,設計「角尺懸吊金屬棒」與「滾針及鏡面反射」是儀器的重要部份,利用滾針旋轉及鏡面反射雷射光,加乘放大熱膨脹的微量變化,這是我們主要的創意,以公厘(mm)為單位,儀器的精確值到小數第四位。 利用自製的熱膨脹儀,探討金屬熱膨脹的影響因素。分析實驗所得數據,平均相對偏差在1.0~1.8﹪,而線膨脹係數的相對誤差約-1.2~-4.4﹪。

動物血型及血清的研究

人類血清中存在天然的抗體,能認識A型紅血球的A抗原及B型紅血球的B抗原,因此寫型不合的血液混合會導致血液凝結。在我們的實驗中,我們發現一種異體的血清與血球相混合也會產生凝集反應,顯示動物的血清中也存在認識異種異體紅血球抗原的天然抗體。然而在實驗是常用的基因相異的七種不同品系小鼠及一種大鼠血清中,卻看不到存有天然抗體可認識彼此血球的抗體而產生凝集反應,顯示老鼠似乎異於人類,血清中沒有天然抗體來引發彼此的血球凝集。而且抗馬血清可與經電泳分離後的馬血清在洋菜膠上形成三個沉澱線,但不會與老鼠血清及牛血清有任何反應。雖然抗馬血清與人及兔血清有交叉反應,但仍顯示出其結合的特異性。除此之外,我們發現來自不同品系的小鼠及大鼠的白血球彼此會互相反應並聚集在一起,顯示不同品系的小鼠及大鼠白血球可認識同種異體及異種異體的白血球抗原。因此不只是血清中的抗體,白血球本身也可認識同種異體及異種異體的抗原。所以除了人類血清中天然抗體及經由免疫注射產生的抗馬血清之外,為經過免疫注射的人或老鼠身上的白血球也具有認識同種異體及異種異體抗原的能力,因此我們認為不僅是抗體,連白血球都可當作鑑別物種的診斷工具。

無尾翼飛行器之穩定與控制

無尾翼飛行器(Tailless Aircraft)在軍事上的價值極大,且對於目前正在起步的微飛行載具(Micro Air Vehicle)而言,亦是值得嘗試與投資的。然而,由於無尾翼飛行器缺乏用以平衡的水平尾翼,造成其靜態的不穩定,即使設法提高靜態穩定特性,但其氣動力阻尼低、穩定性仍舊不佳。操縱上更是困難,在飛行穩定性與控制系統設計上極其挑戰性。本研究目的在探討無尾翼飛行器之穩定性與控制技術,改善其先天之不穩定特性,考慮之項目有縱向靜態穩定性、動態穩定性、控制面與組件配置等因素等進行詳細之探討。首先,找出了適用於無尾翼飛行器之Reflex翼形,接著建立無尾翼飛行器之非線性縱向動態模式,然後針對一翼展8Ocm之小型飛行器進行外型設計,並觀察分析其實際飛行狀態,再以理論與經驗公式估算無尾翼飛行器之氣動力導數,探討其飛行穩定與操控性能。此外,並運用古典控制PID控制法則,設計控制器進行非線性受控系統之動態響應模擬。由模擬結果可看出,經由翼剖面改變與控制系統的輔助下,大幅提高了其性能,使得無尾翼飛行器克服了先天的不穩定特性,更提高了其發展空間 The tailless aircraft has a great value on the military use. Meanwhile, it is worthwhile to try and to invest in it for the investigation of MAV(Micro Air Vehicle), which is being developed now. However, because of lacking horizontal tail which is used for balance, the tailless aircraft is static unstable. Even with the attempt to enhance its characteristics of static stability, the stability of the tailless aircraft is still poor for the sake of it's low damping in aerodynamics. Therefore, it is a challenge to flight stability and control system designing. The purposes of this research are to study the stability and the control technique of the tailless aircraft. To improve its congenital lacking of stability, thought over the longitudinal static stability, dynamic stability and control system. First, find the "Reflex" airfoil is suitable for the tailless aircraft. Second, set up a non-linear and longitudinal dynamic model of the tailless aircraft. Third, design an 80cm span small airplane. Hence, observe and analyze its flying condition. Finally, utilize the theoretical and experiential equations to estimate the aerodynamic derivatives and investigate its stability and controllability. Besides, use the PID controller to proceeded the time-response simulation of the non-linear system. The result of simulation shows that the performance is improved through the change of the airfoil and with the auxiliary of the control system. With this improvement, the tailless aircraft overcome the congenital lacking of stability to broaden its utilization potential.

Poly(ADP-ribose)polymerase-1 對細胞內DNA damage修補的調控

Poly(ADP-ribose) polymerase-1 (PARP-1)是一個細胞核內的酵素,它可以被因DNA damage\r 而形成的DNA片段活化,並將NAD(+)上的ADP-ribose轉載到結合蛋白質。這些結合蛋白質對\r 於DNA的合成、DNA的修補、以及細胞週期的調控都有關係。因此,PARP-1被認為是維持基\r 因完整性的重要角色。根據初步的研究,抑制PARP-1的活性對許多疾病的治療都可能有效,\r 其中包括癌症、心臟病、中風、糖尿病、發炎以及反轉錄病毒的感染。然而,以藥物抑制一\r 個對DNA修補這麼重要的酵素會有什麼潛在的問題呢?為了要得到解答,我們需要進一步了\r 解PARP-1在DNA damage反應的機能。在這一份報告中,我製造了一個失去活性的PARP-1突變\r 種,即E988K。經過對E988K詳細的研究,我將比較及分析PARP-1野生型與E988K之間不一樣\r 的互動蛋白質,希望能對PARP-1所控制的DNA修補有更進一步的了解。\r \r \r Poly(ADP-ribose) polymerase-1 (PARP-1) is a nuclear enzyme activated by DNA strand breaks\r during DNA damage response and catalyzes the transfer of ADP-ribose units from the substrate NAD(+)\r to acceptor proteins. These acceptor proteins involve in modulation of chromatin structure, DNA\r synthesis, DNA repair, transcription, and cell cycle control. Thus, PARP-1 is believed to play an\r important role in maintaining genome integrity through modulation of protein-protein and protein-DNA\r interactions. PARP-1 has been the target for design of inhibitors for over twenty-five years. Inhibitors of\r the activity of PARP-1 have been claimed to have applications in the treatment of many disease states,\r including cancer, cardiac infarct, stroke, diabetes, inflammation and retroviral infection. However, are\r there potential problems associated with inhibition of this DNA-repair enzyme? To answer this question,\r we need to further understand the biological function of PARP-1 during DNA damage response. In this\r report, an enzyme dead mutant (E988K) of PARP-1 was generated. Detailed studies of E988K show that\r E988K could be used in the following studies. Compare and identify the different associated proteins of\r PARP-1 wild-type and E988K will shed light into the molecular mechanism of PARP-1-mediated DNA\r repair.

溫變性轉(孵化條件對宮廷雞性別的影響)

目前生物學知識認為雉科鳥類的性別,在卵受精後即決定(WZ型),不受環境的影響,但是在本組一連串的實驗中發現,雉科鳥類的性別與孵化的溫度變化有非常大的影響,一般宮廷雞的孵化條件在濕度55%RH及溫度98℉~99℉,在此孵化條件下宮廷雞的子代♀:♂=1:1,若溫度降為97℉的孵化條件下所得子代♀性佔93%,倘若溫度升高為100℉的孵化條件下所得子代♂性佔92%,可見在比正常孵化溫度高的環境下宮廷雞的受精卵會轉變為♂性,而比正常孵化溫度低的環境下孵化的宮廷雞受精卵卻會轉變為♀性,本實驗續做了六代,結果大致相似,由此可以證明控制孵化溫度可以改變宮廷雞的性別,這一行為,可能與Z染色體上一個溫度依賴型的連鎖基因(DMRT1)之表現有關。 ;The temperature of hatching can affect Chinese silkys's sex It is now established that the sex of Pheasants is determined when the egg is impregnated, rather than by environmental factors. However, in a series of experiments, we find that the sex of Pheasants is strongly related to the temperature of hatching. In the normal hatching condition (humidity:55% RH ,temperature: 98.5℉), the ratio of female and male offspring of Chinese silkys is 1:1. If the temperature is lowered to 97℉, the female offspring occupies a proportion of 93%. If the temperature is raised to 100℉, the male proportion will reach 92%. We can thus derive the conclusion: the impregnated eggs of Chinese silkys will be transformed to male at a temperature higher than the normal one, while a lower temperature than the normal one will cause the impregnated eggs to be female. The experiments have been conducted through six generations of Chinese silkys, and the results are practically the same. This indicates that temperature changes can affect gender, This may be related to a Z-linked of DMRT1 gene on the DNA, which is temperature-dependent.

繪身繪影-正三角形磁磚設計方法與碎形密舖之研究

本研究主要以正三角形作為基本單元,透過窮舉討論得到正三角形邊的作用方式只有五種,再經由排列組合歸納出11 種正三角形密鋪磁磚設計方法。進一步,運用我們的研究結果,配合數學簡報系統製圖,創作新圖樣,也彌補了Escher 在手繪時所造成的誤差,達到完全密鋪的效果。碎形磁磚的部份,我們也依據其背後的數學理論創作幾套結構圖,利用結構解析,碎形密鋪磁磚將變得十分容易,學習者將可輕鬆製作富有創意的新圖樣。 ;This research mainly takes the regular triangle as the basic unit. Through the enumeration, we obtain that there are only five operations for edge of the regular triangle, and then 11 kinds of regular triangle design methods are induced. Even more, utilizing our findings and Mathematical Presentation System (Math PS), we created the new pattern which makes up Escher’s errors and achieves the tiling. As to Fractal Tiling, we create several sets of structure drawings according to its mathematics theory. Using structure analysis, the Fractal Tiling will become extremely simple, and the learner can make the rich creative new pattern easily.

應用吸水高分子螯合重金屬離子及奈米銀的製備

聚丙烯酸是尿布中吸水成份,若被隨地丟棄勢必對環境造成污染。分析其結構,由於存在對重金屬離子具螯合作用的羧基,因此,可用於捕捉重金屬離子,作為偵測污水離子的利器。另外,若將螯合的銀離子以化學還原法製成奈米銀,將可應用於抗菌。研究結果有: \r (1)PAA對Mn、Fe、Co、Ni、Cu、Zn、Ag等離子具有明顯螯合效果。 \r (2)螯合反應:PAA+Mn+ [PAA-M]n-x+xH+,其可利用濃鹽酸使其再生。 \r (3)螯合能力以Fe3+最強,Zn2+(Mn2+)較弱。 \r (4)螯合離子的最小極限為10-3(M),我們採樣的廢水有重金屬污染,推測濃度大於10-3(M)。 \r (5)成功將螯合的Ag+製成奈米銀,為金黃色,屬於球形銀,甲醛濃度愈高,奈米粒徑愈小。 \r (6)奈米銀與銀離子在抗菌上的確有明顯效果,帄均粒徑小,抗菌效果越強。

聽音辨位--聲波的測量應用

本實驗設計主要是以波的傳送速度(特別是聲波),以及接收收到的時間值來做實驗、運算、討論。而其特點是為了應用於實際生活中,做了許多異於平常測量方法的設計。主要是使用時間差(|t1–t2|V=發聲器到兩感應器的距離差 )來消彌掉一般測量時,需要採取同步的條件,說明如下: 1. 由以上的圖中,t1’ = T + t1 為實際由感應器開始感應到感應器#1 接收到訊號的時間;同理,t2’ = T + t2 為實際由開始感應到感應器#2 接收到訊號的時間。而T 為感應器開始感應到發聲器開始發聲的的時間(之後的 T 皆為如此)。由以下式子得知: |t1’ - t2’|=|( T + t1 ) - ( T + t2 ) |=|t1 - t2|及為本實驗所需的時間差。利用減法將T 消除,便及為發聲器與感應器不必採取同步,此為本實驗目標以及優點之一。 2. 之後的公式推導中,實際由感應器開始感應到感應器接收到訊號的時間中,表示為t1、t2、t3……以此類推。 像是市面上販售的反射式測距器由於其直線性的限制,在我們可負擔的情況下,就只能做一維的測量,而在本實驗中,我們使用多個感應器,而可測量至二、三維空間,並使測出的物體由相對位置轉為絕對位置。再加上正在計劃中的測量儀器改良與自製,例如利用電腦的音效卡接上麥克風或是其他感測器,以及電子零件、電路的組合與設計。而在於一般的實際應用面上可配合工業的破壞性檢測,甚至是橋樑的斷裂處、各種振源的測量,亦或是人員的搶救,都應有不錯的效果與利用價值。 1.The major design of experiment is to spot the location of an object by experiment, calculating and discussing of such figures like the transmission speed of the waver (especially sound wave), plus time value of the receptor and so on to get the result. 2.In practice, the ordinary measuring method has to be implemented under the circumstance of synchrony: however, the distinguishing characteristic in the experiment is to overcome such restriction with the use of the “time lapse” concept. 3.The reflecting measuring instrument on the market is limited by its “straight-line characteristic.” Instead, we use multiple sensors to spot the absolute location of an object in its 1-D, 2-D, 3-D form. 4.We have now been working on the improvements of the measuring instruments, for instance, using sound cards to connect to the microphone to make a new sensor; also, the redesign and combination of other electric parts and circuits are also under construction. 5. We plan to apply the experiment not only in spotting the location of an object but also in further spotting the location of vibration coming from various objects (e.g. in the use of rescue).

你喝下了多少?-台灣市售優酪乳乳酸菌生長力及抗酸性之探討

現今乳酸菌飲料風行,但是乳酸菌是否真能通過胃酸的考驗,到達腸道進行複製,利益人體?我們首先以市售乳酸菌粉(加拿大Rosell 公司,含二種菌,暫時命名為"小毛"及"小白")為預測菌種,利用分光光度計測定乳酸菌於Thioglycollate 培養基中的生長能力(OD600)。小毛在pH 值 1、 3 、5、 7 時之生長力分別為0、 0.008 、0.682 、0.847 ,小白為 0、 0.015 、0.973、 0.636。若於培養基中添加不同濃度的螺旋藻熱分解物,如加入0.01%的添加物後,小毛在以上各種pH 值生長力分別為0.042、1.291, 、1.447, 、1.213 ,小白為 0.053、1.392、 1.531、 0.988,意外發現可大幅提升菌的生長力及抗酸力。再取台灣市售4 種廠牌優酪乳(以甲、乙、丙、丁代表之),分離乳酸菌,再於各種pH 值中培養。結果在pH 3 時,螺旋藻熱分解物僅對丙廠牌有效, 乙廠牌無效, 甲與丙則有無填加生長力都很差。在pH 1 時, 則對乙、丙、丁皆有效,故建議廠商慎選菌種,並於製程及成品中添加螺旋藻熱分解物。The yogurt is a popular drink. But whether the lactobacilli inside can resist the destruction of gastric acid and grow well in the intestinal tract is still questionable. We used pure lactobacilli powder (Rosell Company, Canada, containing two bacteria named in this report as "Little Hair" and "Small White") for pre-test. The growth ability in thioglycollate medium was determined by spectrophotometer (OD600). The results of bacterial growth at pH 1, 3, 5, and 7 for "Little Hair" were 0, 0.008, 0.682, and 0.847, respectively. Those for "Small White" were 0, 0.015, 0.973, and 0.636, respectively. After supplement with 0.01% of the boiled lysate of Spirulina algae (ProBio Biotech, Taiwan), growth abilities at pH 1, 3, 5, and 7 for "Little Hair" were 0.042, 1.292, 1.447, and 1.213, respectively. Those for "Small White" were 0.053, 1.392, 1.531, and 0.988, respectively. The algae extract amply promotes the growth and acid-resistance, especially at pH 3, of these bacteria. The lactobacilli isolated from four different products of yogurt in Taiwan, named as A, B, C, and D, were then tested as above. Results showed the supplement with the boiled lysate of Spirulina algae was very effective, at pH 3, for promoting growth of C, but not effective for B. Growth abilities of both A and D were very unsatisfactory with or without this supplement. At pH 1, algae lysate supplement significantly improved the growths of B, C, and D. Therefore, this supplement in culture and product for yogurt preparation was suggested.

缺一格也可以─骨牌排列順序數量之探討

在一次偶然的機會中,我們在科學月刊上讀到一篇探討骨牌排列 (Domino Tiling) 問題的文章。文中骨牌排列問題看似單純,但其中卻有許多有趣的性質,因此,我們想對此進行更深入的研究。\r 我們將1x2的骨牌填入特別的方格中,考慮填入的順序並計算其排列情形的數量。由定義的兩個模型SDT(Standard Dominos Tableau) 與「缺一格」的GDT(Good Dominos Tableau) 為基礎,嘗試尋找它們之間的關連性,藉由對應(bijection)的方法,得知在高度的限制為奇數的情況下,SDT與GDT的數量相同,並且,兩者之間的結構有密切關聯。\r 除此之外,在這個研究中,針對SDT在高度不超過三排時,我們建構出了骨牌排列情形與我們架構的「廣義Motkzin路徑」的對應操作流程。接著,我們嘗試探討一般化的SDT與此結果的關聯性,由對應過程的想法,架構出高維度的「廣義Motkzin路徑」,並推測此路徑與SDT之間有緊密的相關性!