全國中小學科展

2021年

滾動體在旋轉圓盤上運動之軌跡探討(The motion of a rolling sphere on a rotating disk)

球體在旋轉平台上的運動分三階段:進動階段、螺線振盪階段、打滑階段。進動階段、螺線振盪階段為兩個運動模式的疊加:迴旋半徑漸增的螺旋線運動、向平台中心靠近的平移運動。當迴旋半徑漸增至滑動摩擦力的上限值,球進入打滑階段並向外甩出平台。 研究紀錄球體質心運動參數,並以接觸點準靜態理論計算及滑動-滾動摩擦模型進行數值分析,找出各種變因與運動參數間的關係。 結果發現滾動階段中鋼球作迴旋運動的頻率f球和平台旋轉頻率f盤和有正比關係,且比例值和球標準化轉動慣量δ正相關。由滾動階段過渡到滑動階段的最大迴旋半徑Rmax和f球2成反比、和δ呈負相關、和滑動摩擦係數μk成正比。滾動摩擦使球向平台中心靠近,也使迴旋半徑漸增。平台傾斜或呈錐狀時,球體的運動會向水平方向偏移。

以新型CRISPR-Cas9技術優化粒線體基因剪輯

本研究開發一個新型的CRISPR-Cas9技術剪輯粒線體DNA,提供粒線體基因所造成疾病的一個有潛能之治療方式。在本研究中,我們將嵌入粒線體標的訊號序列後的 Cas9 蛋白質和 sgRNA 分子送入粒線體內,將 CRISPR-Cas9系統套用於粒線體中,並達成剪輯粒線體基因之目的。我們將 Cas9 蛋白質和 sgRNA 分子鑲嵌於同一質體上,有效導入CRISPR-Cas9系統於粒線體內,並觀察到剪輯之標的基因ND4含量下降了 32%,達到粒線體基因編輯之目標。雖然前人曾用ZFN (Zinc-finger Nuclease)和TALEN (Transcription Activator-like Effector Nucleases)成功編輯粒線體基因,但由於製作過程繁瑣和經費昂貴等種種原因,並未被廣泛使用。我們開發的新型CRISPR-Cas9粒線體基因剪輯系統將可以提供一個相對簡易且價格低廉的粒線體基因剪輯平台。

Hydrogen Functionalization of Graphene using RF Plasma for photodetection

The growth of the internet is propelling an ever-increasing need for faster communication. Modern telecommunication data is mainly carried through fibre-optic cables, with pulses of light representing bits of data; the main factor limiting data transfer speed is the rate at which the optical receiver at the opposite end of the cable can detect light pulses. Graphene-silicon Schottky photodiodes are a promising alternative to traditionally-used germanium photodiodes, promising higher detection frequency and better contrast between light and dark. To make it less susceptible to erroneous measurements due to graphene having a low band gap, hydrogen functionalisation was used to increase the barrier potential of the Schottky diode so that a higher voltage would be required to allow current to pass through in forward voltage bias and trigger the sensor. This study seeks to determine the optimal conditions — of physical proximity, duration of exposure, and plasma power — for hydrogen functionalisation using radio frequency plasma. Graphene was synthesised using low pressure chemical vapour deposition, then transferred onto P-type silicon to create a photodiode. The graphene-silicon photodiode was then doped with hydrogen plasma to introduce defects in the graphene layer to increase the barrier potential of the photodiode. To assess the effectiveness of hydrogen functionalisation, photocurrent measurements were conducted while light was shone onto the photodiode in pulses of increasing frequency to find the magnitude and spontaneity of the response. Light was shone in pulses of 100ms, and was successfully detected by the photodiode. The pulse spacings were gradually decreased and it was found that the diode was able to detect pulse spacings as low as 1µs, significantly better than germanium photodetectors. The sample demonstrated clear optoelectronic response and was sensitive to changes in frequency. Results show that the intensity of the optoelectronic response in graphene-silicon diodes is inversely related to its physical proximity to the plasma source during hydrogen functionalization; and directly related to the power of the plasma and to the duration of exposure up to a point, after which it will deteriorate. Thus, it can be concluded that graphene-silicon Schottky diodes offer much promise in electronic communication.

The development of natural quick-cooking tapioca balls

本研究利用自製包覆薄膜裝置,在濕粉圓表面包覆雙層海藻酸鈣薄膜(內層1.0%海藻酸鹽+外層0.5%海藻酸鹽),經自然乾燥製成新型粉圓,可浸泡冷水不會崩解或破裂,且水分完全滲入粉圓內部僅需25分鐘;新型粉圓在泡水25分鐘後,其內部水分含量高達51.67%。新型粉圓要達到100%煮熟率之時間,僅乾粉圓的37.80%、濕粉圓的42.75%,省時效果十分明顯;而所消耗電能,僅乾粉圓的25.57%、濕粉圓的28.81%,節能效果極為顯著。新型粉圓經全質構分析(TPA)之彈性已達到商品化之水準,並經官能品評驗證,受試者對新型粉圓各項目之喜好程度均優於濕粉圓。最後,測試新型粉圓之水活性僅為0.684,其Aw值明顯低於一般微生物生長界限0.8,可在常溫下長時間貯存。

「醛」面啟動-探討肉桂醛提升綠豆耐鹽能力之機制

濃厚氣味的中藥,吃了能讓人強健體魄,那植物服用後呢?研究發現,綠豆能感受肉桂粉中的氣味分子”肉桂醛”,並透過改變其生理與生長的發育來減緩其在鹽逆境下細胞死亡的程度,提高長期耐鹽能力。本研究顯示,熏完肉桂醛的綠豆能透過減少氣孔數、使澱粉代謝、增加根系來應對鹽逆境下的缺水問題,在生化研究方面,能透過在根部提前累積脯胺酸來應對滲透壓逆境。此外肉桂醛氣味能激發綠豆的抗氧化力,我們發現,肉桂醛能讓綠豆提前累積抗氧化物(脯胺酸、抗壞血酸),另能提高抗氧化酵素活性(POD、APX)來應對鹽逆境下的氧化傷害。本研究發現綠豆能感受肉桂醛氣味並提升其長期耐鹽能力,期待未來能將研究成果用於農業,減少逆境對農業帶來的損失。

菌菌有味—真菌及塔粉綠尺蛾幼蟲食草選擇之探討

本研究主要探討塔粉綠尺蛾食草選擇與其葉內真菌之關係。觀察培養四種植物(烏臼、鵝掌柴、白匏子與島榕)葉內真菌,以真菌生長率、菌絲與孢子形態辨識真菌種類。當我們以烏臼葉內間座殼菌屬(Diaporthe sp.)真菌與不同植物放在一起時,幼蟲取食原為非食草的白匏子葉片,而島榕則有嘗試啃食之現象;此外,飼養過程中我們發現取食烏臼的塔粉綠尺蛾幼蟲糞便較其他種幼蟲易長出真菌,進行幼蟲糞便與消化道真菌培養後,皆有與葉內真菌相似的菌體形態。我們推測烏臼、葉內真菌與塔粉綠尺蛾間的交互作用關係之一可能為:烏臼透過葉內真菌誘使塔粉綠尺蛾雌蛾前往產卵,經幼蟲食用葉片後所排出之糞便以作為葉內真菌傳播的媒介。

Mentor Hunt App

The Information Technology (IT) area has shown great growth in recent years, even with the economic recession that 巴西 has been through and the impact of the coronavirus pandemic. It is estimated that by 2024 the area will have a deficit of more than 290 thousand professionals. However, companies still face other difficulties in hiring, especially people who are looking for their first job in the Information Technology area. Most part of these difficulties are lack of qualified manpower and high prerequisites to fill internship or junior positions. As a result, the objective of this project is: to develop a platform that connects people who seek guidance, improvement or professional relocation in the Information Technology area with professionals that already have the experience they are seeking. The first step was a research and analysis of similar platforms in the market, whose proposal involves mentoring or professional connections, and it concluded that there are no services that fully meet the project’s proposal. In the second step, a research was done about mobile development, highlighting Flutter and Firebase platform. The third step defined the application’s features, such as suggestion of users and mentors, search for users, become a mentor, private chat, video calls, Portuguese and English languages, light and dark themes and profile customization. The suggestion of users and mentors is done by a match with the registered users, relating their areas of work (where the user has experience) and the areas of interest of each one. For the coding of the project, Flutter and Firebase technologies were used. To design the app, it followed Material Design specifications. For testing and distribution, the app was published on Play Store, Google’s Android application platform. The tests were performed by both the researcher and a selected group of users to verify if the functionalities were in accordance to what was defined in the beginning of the project. Perceiving the correct functioning of the application, the project achieved the proposed objective. In addition, it expanded its reach area, because it is possible to find users and mentors from any other area of the market.

THE BLIND'S SHINE

Nowadays, all blind people are able to read any type of text thanks to The Braille system, which is a system of reading by touch. The Braille system provides a good and important help to blind people but it’s not enough. They try to integrate into society, try to read and write the same as those blessed with sight. However, only 18% of people can actually write in Braille and doing so takes a lot of effort. While Braille techniques have existed for many years now, there isn’t one that takes advantage of the comfort and easiness of modern technology. To be fair and give more chances to the blind people, and with all the available technologies nowadays, we must find solutions and innovative ideas to fulfill this objective. And this is how our project was born. To be honest, it’s not just a project, for us it’s a dream. Our focus in this project is creating an automatic machine based on transforming our language to their language and transforming this new invention to assist the blind in writing whole texts through speaking. It will be easier than the traditional way. This part of the project will help us print Braille on paper automatically in the cheapest, fastest and easiest way, unlike the traditional method that not only takes a lot of time but also needs a professional. Our printer will only cost approximately 250$ compared to regular printers that cost 6500$! the principles of the code of the speech recognition are voice pickup in all languages as first step, second speech recognition, then speech translation, after that speech analysis and finally translation into Braille and printing it. As for the future, we will work on face, object and image recognition as a scanner to make the visually impaired people read the name of the object and recognize people’s faces like anyone else.

三角形可變動的外西瓦線之共點問題

2001 年 Larry Hoehn 提出了 △ABC 的三個旁接三角形的西瓦線之共點性質,近年的相關研究都是探討邊上作正方形或矩形而構造三個旁接三角形。本研究不限於直角,創新探討角度一般化情形。考慮以 △ABC 頂點為旋轉中心,將三邊分別旋轉實數 φ 後,構造出可變動的三個旁接三角形。我們發現可變動的三條外中線交於一點、三條外高交於一點、三條外中垂線交於一點。我們先探討前述三個動點的軌跡,發現著名的 Kiepert 雙曲線,本研究為 Kiepert 雙曲線的新構造法。接續研究任選兩點所構成的直線性質,有趣的是,外高交點與外中垂線交點連線恆通過重心;外高交點與外中線交點連線恆通過九點圓圓心,我們給出共線三點的有向線段比例常數。最後,我們再探討角度與長度同時可變動的三個外西瓦線共點情形。

多邊形的剖分圖形數量之探討

從參考資料[1]可知,將凸n+2邊形利用n-1條不相交的對角線剖分成n個三角形的圖形數量即為卡特蘭數Cn。而我利用不相交的對角線把n+2邊形剖分成數個多邊形和三角形的組合,並從此類的剖分圖形與三角剖分圖形之關聯,進而由卡特蘭數的一般式推導出此類剖分圖形數量的一般式。在本研究中可得,若到把n+2邊形剖分成一個k+2邊形和多個三角形的圖形數量是(2n-k+1 n+1) ;把n+2邊形剖分成一個k+2邊形、一個m+2邊形和多個三角形的圖形數量,當m≠k,數量為n+2/2(2n-k-m+2 n+2) ,當m=k時,數量為n+2/2(2n-2k+2 n+2) ;把n+2邊形剖分成一個k1+2邊形、一個k2+2邊形、一個k3+2邊形、和n-k1-k2-k3 個三角形的剖分圖形,當k1,k2,k3兩兩相異時,數量為(n+2)(n+3)(2n-k1-k2-k3+3 n+3) ;把n+2邊形剖分成一個K1+2邊形、一個K2+2邊形、一個K3+2邊形、一個K4+2邊形和n-K1-k2-k3-k4個三角形的剖分圖形當k1,k2,k3,k4兩兩相異,數量為(n+2)(n+3)(n+4)(2n-k1-k2-k3-k4+4 n=4)。並猜測若k1,k2,...,ki兩兩相異時,把n+2邊形剖分成一個k1+2邊形、一個k2+2邊形、…、一個ki+2邊形、和n-Σkj 個三角形的剖分圖形數量為(n+i)!/(n+1)!(2n-Σkj+i n+i) 。