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「膠」流電-黏度及外加電壓對電解質溶液離子暫穩態通道之影響

在本次實驗中,我發現膠狀電解質溶液中的帶電離子,會因為離子團的熱運動,和電偶極的庫倫吸引力 (electric dipole) 的交互作用下,使溶液的I-V curve (電流-電壓曲線),具有類似磁滯曲線(Hysteresis curve) 的效果;而膠狀溶液之濃度越高,電解起始點的對應I-V 值也越大。此外,白金電極與銅箔電極的距離若改變,也會使溶液的I-V curve 變的不一樣。另一方面,我也發現,在給予膠狀電解質溶液一緩慢外加的電壓或衝擊電壓並持續維持此一定額外加電壓時,會因為該溶液的黏度持續增高、帶電離子濃度增高且反應不斷變化下,而使該溶液的對應電壓,形成一重複出現「先降-後升-再降」的震盪現象,且電壓值節節升高。最後,我利用掃描式電子顯微鏡(SEM)及能量分散光譜儀(EDS)觀察銅箔電極之表面變化並分析其上之化學組成,藉此嘗試解釋上述這些有趣的現象。In this experiment, with the interaction of the heating action of ionic atmosphere and electric dipole, I find that ions in the gel make the I-V curve in the colloid electrolyte liquor show up with the effect similar to Hysteresis curve. The higher concentration of the colloidal solution, the bigger value of I-V at the initial electrolysis reaction was found. Furthermore, the shape of I-V curve is dependent on the distance between platinum electrode and cupper electrode. On the other hand, I find that when I apply a gradual extra-voltage or a fast extra-voltage to the colloidal electrolyte solutions and then maintain to a fixed value, this will make a unique ‘two peaks’ state oscillation of corresponding voltage. The reason is owing to the climbing viscosity and ion concentration in the solution. With the methods of scanning electron microscope (SEM) and energy dispersive spectrometer (EDS), I observe the change and analyze the components of chemicals on the surface of the cupper electrodes. Finally, I present the interesting results and try to interpret these phenomena.

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Applications of Biofuel Technologies for Third World Countries

Innovative, inexpensive, sustainable fuel for cooking and light can be produced with an anaerobic digestion biogas system. A biodigester was designed from parts that are locally available to purchase and maintain in a developing nation. The prototype was designed, built and the engineering was approved and tested. Research and testing of techniques used to produce biogas were recorded and analyzed. The digester successfully produced enough biogas to connect to a stove and burn. Research and testing continued on different ways to pressurize the biogas. A burn time of eleven minutes was recorded. A Bunsen burner was designed, again from locally available parts, in order to enhance the flame to use for cooking. The designed digester and burner worked satisfactorily to burn the biogas collected in the system. Using small scale tests, additional research and testing continued on the most efficient production of the biogas. Figure 1 shows the results of the small scale biogas testing. The results from the small scale testing showed that the best variables for producing biogas are using school compost, ie apples, bananas, oranges, cucumbers, grapefruit, grapes etc, which has been blended to acquire the most surface area with a 1:1 ratio. Figure 3 shows the results of a sample of methane (first three peaks) and of the biogas that was produced (last two peaks). The first peak is the nitrogen and the oxygen in the sample. The second peak is the methane and the third peak is carbon dioxide. The first biogas sample that was tested had no methane so there was an absence of the second peak. This was similar for Figures 4 and 5. Figure 6 shows a sample of the final biogas product which is producing methane as shown by the blue circle. Figures 3 through 5 lack a methane peak due to leaks in the biogas system and limited time within testing periods. The hypothesis was proved correct. An innovative, inexpensive, sustainable fuel for cooking and light using an anaerobic digestion system that can be built completely in developing nations such as Honduras was created. The biogas was ignited using a stove which provided heat for cooking. The biogas was not tested using a light; however, since the biogas can burn, this is theoretically possible. The final system achieved these goals.

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科學研習月刊

58-04

NO.58-04 2019 AUG | 科學研習期刊目錄 本期專題 臺灣的藻礁、珊瑚礁與火山地形探秘 臺灣西北海岸藻礁的前世今生 | 許民陽 臺灣西北海岸藻礁的生態價值 | 劉靜榆 恆春半島隆起珊瑚礁的前世今生 | 許民陽 基隆北方四火山島探祕 | 許民陽 教學現場 臺灣西北海岸的地質地形教學資源 | 李文禮 大屯火山區地景巡禮 | 王郁軒 科學新知 福衛三號與七號的大氣研究 | 吳育雅 太陽系的矮行星 | 梁添水 臺11線地質慢旅行6 -大峰峰奇岩與八仙洞遺址 | 梁勝雄 酵素進階的植化素多酚 | 陳怡妗 特約專欄 讀繪本習料理科學 | 劉淑雯、楊志文 STEM綠色化學教具研發與教學 | 黃琴扉 電話魔術 | 游森棚 科普活動報導 全新的體驗--在火車上玩科學 | 李旺龍 科教館GO好玩 MorSensor積木好好玩-新興科技在探究實作之創意應用 | 楊玉蘭、蘇萬生 總召集人的話 有人說:本土就是斯土斯民,對斯土斯民的愛與關懷該從認識做起。臺灣有多樣的生物礁和火山地形,值得我們透過多種管道多加認識。本期特別以「臺灣的藻礁、珊瑚礁與火山地形探秘」為專題。 「本期專題」單元共有四篇文章,〈臺灣西北海岸藻礁的前世今生〉一文介紹西北海岸的藻礁特性及其發育和氣候與海岸變遷的關係,以及近期海岸線進退和藻礁的關係。〈臺灣西北海岸藻礁的生態價值〉一文釐清西北海岸藻礁的獨特性、說明西北海岸藻礁的重要性、和提醒大家這些藻礁的生態系服務。〈恆春半島隆起珊瑚礁的前世今生〉一文介紹隆起珊瑚礁的形成與礁相、更新世和全新世的隆起珊瑚礁、隆起珊瑚礁的伴生地形。〈基隆北方四火山島探祕--基隆嶼、彭佳嶼、棉花嶼、花瓶嶼地景資源〉介紹這四個火山島的地景資源。 「教學現場」單元刊登兩篇文章,〈臺灣西北海岸的地質地形教學資源〉一文分享利用北海岸的地質地形景觀實察活動,實現12年國教新課綱三大面向核心素養和融入重大及重要議題的想法。〈大屯火山區地景巡禮〉一文介紹大屯火山群的噴發史、火山群相 、火山岩、火山作用的地質景觀及別具風味的火山溫泉。 「科學新知」單元刊登四篇文章,〈為大氣層體檢:福衛三號與福衛七號的觀測〉一文介紹面對極端天氣,觀測資料是天氣準確預報的關鍵,福衛三號觀測借重掩星法已在國際間贏得「太空中最精準的溫度計」的名號,而福衛七號已在2019年6月順利升空並成功通聯。〈太陽系的矮行星〉一文介紹冥王星和穀神星等矮小但重要的行星。〈臺11線地質慢旅行6--大峰峰奇岩與八仙洞遺址〉一文介紹花東海岸公路上大峰峰奇岩與八仙洞遺址之地質景觀與地質意義。〈酵素進階的植化素多酚〉一文介紹植化素是什麼及其與中醫五行五色的呼應、以及富含植化素的蔬果及其作用等。 「特約專欄」單元刊登三篇文章,〈讀繪本習料理科學〉一文介紹如何以《石頭湯》和《鬆餅鬆餅》兩本料理繪本帶出課程。〈STEM綠色化學教具研發與教學〉一文分享自行研發的一套STEM綠色化學教具「可攜式泛用微型反應器」。〈電話魔術〉一文則拋出猜出由電話號碼所衍生數字的問題,供讀者自主探索或發想科展題目。 「科普活動報導」單元刊登〈全新的體驗--在火車上玩科學〉,報導主辦2019年第四屆臺灣科普列車的經過與感想。 本期「科教館GO好玩」單元刊登〈MorSensor積木好好玩--新興科技在探究實作之創意應用〉一文,介紹一群臺北市校園數位氣象網的種子教師在科教館研習MorSensor無線感測積木原理及應用的緣由與經過。 總召編輯委員 - 李隆盛 關於本刊 出版單位:國立臺灣科學教育館 發行人:劉火欽 總召集人:李旺龍 編輯委員: 物理科吳仲卿/陳耀榮/李柏翰/盧玉玲 | 化學科古建國/許良榮/王伯昌/林如章/周金城 | 生物科王美芬/蕭世輝/陳建志/郭淑妙 | 地球科學許民陽/王郁軒/李文禮/謝隆欽 科技科張玉山/汪殿杰/林育沖/趙珩宇 | 數學科李源順/鄧家駿/溫世展/張宮明 | 跨領域學科李名揚/連信仲 | 特約專欄 游森棚/黃琴扉/陳正改/劉淑雯 策劃:曾聰邦 主編:吳中益 本月專題特約主編:李源順 編輯:佟冠誼 網頁設計編輯:施曉恬 投稿規範請來信詢問:article@mail.ntsec.gov.tw

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以珊瑚蛋白及光頻轉換分子改善太陽能電池效率之研究

能源危機日益嚴重,開發再生能源成為當務之急。在諸多的再生能源之中,太陽能最易於使用,且可源源不絕的不斷取得利用。但目前太陽能電池的效率始終不高。其中重要的原因是太陽本身的頻譜多為短波長,並不適合絕大部分頻譜響應較佳,多為長波長的太陽能電池。目前改善效率方式,多為改變太陽能電池的頻譜響應以配合太陽之頻譜。本研究提出反向思考的概念,藉由頻譜轉換的方法,改變照射在太陽能電池上的太陽光頻譜,以提升太陽能電池的效率。本研究利用一種珊瑚礁的螢光蛋白質(DsRed)以及人工合成的螢光染料(Cy-5)最為本研究的頻譜轉換的材料,加於低成本,目前市場佔有率較大的單晶矽太陽能電池上,經由理論與實驗的結果顯示,增加的發電效率約為3~5%,證實利用頻譜轉換的概念確實可以提升太陽能電池的效率。Energy crisis has become more and more serious in recent years, which makes recycled-energy development is a must. Among different recycled energies, solar power has two advantages, that is, easy-to-use and endless supply. However, the conventional solar cell makes poor use of the solar spectrum because the solar spectrum is mainly composed of short-wavelength, which can’t fit to most of solar cells which is more sensitive to long-wavelength. Currently, the major method to improve the efficiency is change the function of spectral response, such as concentration lens, tracking devices, and antireflection coating. Up to now, no one notices the possibility of changing solar spectrum yet. This research provides an insight into this issue. Instead of changing the function of spectral response, I changed the solar spectrum, which irradiates solar cells through spectrum conversion to improve solar cells’ efficiency. This research uses one kind of coral fluorescence proteins (DsRed) and one kind of artificial fluorescence dyes (Cy-5) as the materials of spectrum conversion. Then coat them on the low-cost and high-market-share mono-crystal-Si. According to the theories I researched and my experiments, the improvement of the efficiency is about 3~5%, which proves it is actually useful to elevate the efficiency of solar cells through spectrum conversion.

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模擬聲波干涉

在高中光學裡,介紹了許多有關光波之特性,而聲波與光波皆具有波動性,因此聲波應具有如干涉、反射、聚焦等特性,但在物理課本上並未詳加敘述,所以我們開始了本項的研究,希望可以籍由改變聲源及邊界的各項條件,而探討其發生之現象。在本研究中,我們利用聲波之基本原理在電腦上進行聲場的模擬並加以改變其變因(頻率、相位、聲源數、聲源間距、強度、邊界反射),進而明瞭聲場之各項特性及應用與控制方式。經電腦模擬聲場圖中,我們觀察到,兩聲源干涉所形成之圖形為多組雙曲線所組成,近似於光學之雙狹縫干涉,增加聲音頻率與聲源間距離皆可使腹(節)線數目增加。如同現實世界中所知的,隨著頻率的增加,將會具有指向性的產生並且在聲源數目越多時越明顯,但發現頻率增加至一定值之後,指向性反而會降低而形成冠狀面。在延遲了多點聲源間相位之後,聲場分佈有偏轉之現象,利用相位延遲的方法,在多聲源中,將兩旁之聲音偏向中央將可造成聲音的聚焦。在兩聲源干涉中,調整其中一聲源之強度,將可完全消除兩音源連線間一點之聲音,可適當的應用在工業上消除噪音。聲場分佈在具有邊界的環境下,我們試著找出聲源位置及邊界條件對聲場分佈的影響與關係以模擬室內聲場,但在簡化的數學模式下,即無法有我們所希望之最均勻聲場分佈產生。最後我們將實驗中的結果與文獻上的實驗數據加以比較,以探討其誤差。 The optical course in senior high school , which introduced many characteristics of optical wave. However, both of sound and light have the characters of wave; therefore, sound wave should have the characteristics, such as interference, reflection and focalizing. Nevertheless, there are not many details of sound wave in the section of acoustic on our textbook. So we began this research, and discuss the different phenomena by changing many kinds of variables. In our research, we simulated the sound field on the computer, based on sound wave’s principle, furthermore we change many variables, which like frequency, phase, source number, distance, intensity and reflection. It helps us understand the characteristics of\r sound, how to control sound and how to apply these findings. According to the result of computer simulation, we discovered that the graph of two acoustic source’s interference comprised by many pairs of hyperbola, just like optical double slit interference. As the frequency or the sound source distance increased, acoustic direction became more and more obvious. But when the frequency was high enough to over the extreme, instead increasing, the acoustic direction would lower down like a crown. After we make phase differences on one of the two sound sources, sound field generated\r deviation. So if we use this method in multiple sound source, and delay the middle source, the sound field might be converged. In such two-sound-source interference pattern, when we control the intensity of one, a certainly point on the line of the two sources disappeared When the sound field enclose by borderline, the standing wave appear, and we discovered many funny phenomena. We put large amount of source in a narrow slit, the phenomenon of diffraction appeared. Finally, we discussed the discrepancies between interference pattern previously done by others experiments and the simulated one conducted by us.

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嘖目稱奇的大豆卵磷脂

本研究目的是探討大豆卵磷脂對於老化及學習記憶能力是否有改善之功能。以 24 隻 SAMP8 小白鼠,分為大豆卵磷脂組及對照組,飼養 8週。經由主動迴避試驗、單次被動迴避試驗,測其學習記憶能力;另測量其腦部丙二醛(MDA)之含量,評估其老化的程度。由實驗結果顯示,在主動迴避試驗中,大豆卵磷脂組被電擊次數有減少趨勢;在單次被動迴避試驗中,大豆卵磷脂組停留在明室的時間高於對照組。而在 MDA方面,大豆卵磷脂組腦中MDA含量低於對照組。由上結果推測大豆卵磷脂對於抗老化及學習記憶方面都有改善的功能。 The purpose of this research was to study the effects of soybean lecithin on improving the aging process and learning and memory abilities. The first part of the experiment is to raise 24 SAMP8 mice eight weeks, and divided them into group A and Group B. We tested them memory power by Active shuttle avoidance test and Single-trail passive avoidance test, and tested their degrees of the aging by the content of MDA. The result demonstrated that there was a decreasing tendency in times of being hitting in group A during Active shuttle avoidance test. The time which group A stayed in the bright room was higher than group B during Single-trail passive avoidance test, and the content of MDA in group A was apparently all less than group B in the experiment of MDA. So we can get the message that Soybean Lecithin has the improvement of ameliorating the speed of oxygenation and increasing memory power.

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New Evidences of Behavioral Mechanism for Discrimination and Orientation of the Orb-web Spider, Nepi

由於結網性蜘蛛視覺不靈敏,如何在網上藉振動進行獵捕,這是長久以來頗令科學家困惑的難題,當周遭環境各種振源觸網時,首先會產生不同振盪,蜘蛛是否藉由這些振盪得知獵物資訊?如何迅速準確的定位?又有那些決策條件影響蜘蛛的捕獵行為?更特別的,為何蜘蛛在捕獵過程中會“扯網”?本研究以台灣最大型結網性蜘蛛-人面蜘蛛為研究對象,並設計出一套非接觸式的測量方法,就上述謎題作深入的探討後,成功的解開人面蜘蛛的捕獵機制。簡單來說,其機制分為兩大系統:(1)當獵物擾動不明顯,人面蜘蛛會立即扯網,藉有無產生阻尼振盪,以判斷有無獵物存在;在阻尼振盪產生時,蜘蛛將感知其中具有最大阻尼振盪之放射絲為獵物所在方向,而振盪週期長短,係蜘蛛用以判斷獵物遠近之有效因素。(2)當振源明顯時,蜘蛛直接判斷各種擾動的振幅大小、頻率高低、波形模式、振源質量輕重,決定是否啟動捕獵或逃離反應,並在反應前先行定位,亦即以步足腳勾偵測並比較各放射絲之振盪大小,以振盪最大之放射絲為獵物方向,其次藉由第二對步足之位移所產生之準光角,判斷獵物之遠近。蜘蛛正確的將獵物定位後,會以適當的速度往前衝,一口咬住獵物,以蛛絲重重包裹後,拖往網中央並進行吸食。 Giant wood spider, Nephila pilipes, is the biggest orb web spider in Taiwan. The mature N. pilipes may even grow to exceed 5 cm body length. While waiting for the prey, its giant body hangs quietly on the hub of the web. Owing to its ineffective vision and sense of smell, the spider depends almost on detecting the vibration signal of the struggling of web cause by the struggling prey. When various kinds of sources from the environment contact the web, they will generate various types of vibrations which cause the spider to judge whether they represent danger, prey, or irrelevant signals. Our results suggest that if the disturbance is obvious, through discriminating the amplitude and frequency of the vibration, the spider will make a decision whether to attack or escape immediately. Yet, before any decision is made, it will need to locate the source of vibration. For example, it will locate prey correctly by comparing the vibration transmitted from the radiating strings. The radiating strings that transmitted the largest vibration are where the prey is entangled. The displacement of the second pair of legs will generate a quasi visual angle which enables it to comprehend the distance of prey. When the vibration signal is obscure, it will jerk the radiating string immediately. After jerking it, if there is damping oscillation on the web, then the spider can judge the location of the prey. When there is damping oscillation, the radiating string that transmitted the greatest damping oscillation is where the prey is entangled. Furthermore, the frequency of damping oscillation helps the spider to judge the distance of the prey. After locating the prey correctly, N. pilipes approaches the prey fast, wraps it with silk then drags the prey to the hub to feed.\r

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Self Assembly Mechanism of Water Droplets

這是一系列關於水蒸氣冷凝為極細微水珠的實驗。其中可以歸納為三大部分,第一部分是基礎實驗,將水蒸氣導引至親水性介面上,觀察冷凝水珠的結構。雖然看似簡單平常,但是卻發現:不同溫度的水蒸氣,其冷凝最初始的細微珠粒,尺寸相同;爾後溫度高者,堆疊速率較大,以至於最後同時呈現的水珠大小不一,尺寸不同! 第二部分,是針對冷凝水珠自我組裝機制的探討。實驗是將水蒸氣導引至密度小於1的高分子溶液上,並藉由揮發性溶劑快速揮發,將水珠粒「分層保留」以便更深入了解「解構」後的水珠群聚機制。在這組實驗中得到兩張有趣的圖片: 在討論時,我是從對流機制切入,嘗試解構上面兩張圖。 第三部分的實驗,是將水蒸氣導引到磁場及靜電場上,觀察冷凝的機構。這部分呈現出來的結果,推翻了一般「水分子為電中性應該在電場與磁場中不受影響?」刻板觀念,實驗呈現水分子:不但在電磁場上不易長大同時也有固定的散佈模式(assembly pattern)。同時也觀察到:水分子在正電場形成的凝結水珠較為均勻,在負電場則表現出較大親水性特質。這部分的實驗對日後研究細胞膜上水分子通道應有助益。 I have tried to ask a famous math professor if he can create a formula describing the ordered array of water droplets. “Then, I should study Physics first!” He said. Condensation is the thing we live with, being found everywhere, passing without notice. But we never know when it dose start? By coalescence, water droplets grow bigger, but are not round again. We used the polymer film as template and designed the solution lighter than water, so the minute droplets will sink to the bottom and layer by layer. After seconds we may have multilayers of ordered array. This experiment presented here is actually the diary of the growth of water droplets through condensation, upon volatile fluid, magnetic field and electric field. Through convection, it discusses the self assembly mechanism of water droplets and peep into the uniformity of the size of water droplets. In this experiment, convection and magneto-electric force did play important roles in the self assembly mechanism of water droplets. The topic is mostly concerned as we are surrounded by magneto-electric waves in today’s world. This is the first step in discovering the homogeneous state of water droplets, providing insights into the self assembly mechanism of water droplets with nano sizes.

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M&m Sequences 之研究

本專題的目的是研究以任意實數 a1 、 a2 、 a3 為起始的M&m Sequences 之穩定性質。我們主要關心的問題是:(1) 是否任給定三數a1 、 a2 、 a3 為起始的M&m 數列皆會穩定?(2) 若上述的M&m 數列穩定,則其穩定的長度與a1 、 a2 、 a3的關係為何?(3) 其穩定的值與a1 、 a2 、 a3的關係為何?我們研究的主要步驟及結果如下︰1. 當1 2 3 a 1) 為起始的M&m 數列。3. 我們證明了下列性質:(1) 若M&m 數列中前n 項所成數列的中位數為n m ,則下式成立: (2) 當存在 k > 4 , k ? N ,使得 ?1 ?2 = k k m m 成立時,則此數列穩定,且穩定長度p 滿足:min{ | 4 } ?1 ?2 = > = k k p k k 且m m ,其中p 必為奇數。(3) { n m }為單調遞增且, 5 1 ? ? ? a m n n n4. 如果x ? 41.625,則{?x,1, x}為起始的M&m 數列,其對應的數列有相同的大小次序且此M&m 數列會穩定,穩定值為41.625,且穩定長度為73。5. 我們觀察發現:如果x 1). 3. We prove the following properties: (1) If the median of the former n numbers of the M&m sequence is n m , we obtain (2) There exist k > 4 , k ? N such that ?1 ?2 = k k m m , then the sequence is stable and the stable length min{ | 4 }?1 ?2 = > = k k p k k and m m , where p must be an odd number. (3) { n m } is monotone increasing and , 5 1 ? ? ? a m n n n . 4. Suppose x ? 41.625, then the all M&m Sequences beginning with –x , 1 , x are the same, and the sequences will be stable, the stable value is 41.625 and the stable length is 73. 5. By the computer experiments, we observe that if x is any positive real number less than 41.625, the M&m Sequence starting with –x, 1, x, will be also stable but does not appear to follow any clearly discernible pattern of behavior. However, the stable lengths are much variant and exist some unknown relation with point format of x. Moreover, we have the following properties: (1)If x is a node, then the stable value is x and the stable length equals to the index of median of the node + 2; (2)Near the branch of 41.625, the stable length is almost a constant except at the edge area,the stable length of (-x,1,x) as x around branch 1 is chaos; (3)If x near the node (K= 3, 5, 7, …, 67, 69), then the stable length is l(K)+K?1 where the positive integral l(K) is determined by Prop1 (see Table 6 and 7).

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SPYNIK

Nikhil’s technology studies main client told him how she had no idea about how to\r stop her children looking at all sorts of website and asked him for a solution to a\r problem he initially thought was impossible to crack. Nikhil has definitely ‘cracked’\r this one: with a dedicated website his clients can log into and monitor what is going on in any computer the little box of electronic tricks is plugged into from anywhere in the\r world. This unit controls the electronics and stores the history of the web pages that the user has visited. Not only that, the client can cut the internet (and re-connect it) to the remote computer at will. At the heart of Nikhil’s box of tricks is a web-server module (The Wiznet) and a powerful microcontroller, the AtMega32. Nikhil has designed the\r board, connected the electronics and written the code to allow it to communicate with\r the computer and remote client.

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格子點上的三角形

格子點上的三角形表示這個三角形三頂點的座標皆是整數。本研究先探討用平面格子點可以連出哪些三角形的相似形,再推廣到可以連出哪些多邊形的相似形;接著再研究空間中的格子點可以連出哪些三角形及多邊形的相似形,並用研究的結果討論空間中的格子點可以連出哪些正多面體。推廣到四次空間的格子點時,運用一條數論中的恆等式,發現可以做出來的三角形種類(所有相似形為同一種)居然與空間中的格子點一樣,這是個非常神奇的結果。另外,運用四平方和定理可導出,在五維空間中就能夠將所有可能用格子點連出的三角形種類連出來,這也是另一項收穫。When a triangle is formed with grid points, this means the coordinates of the vertices are all integers. This research aims to find out what type of triangles can develop into symmetries with vertices that fall right on 3 grid points on a plane. The same process is further applied to polygons. Based on the results obtained, the researcher moves on to explore what type of triangles can develop into symmetries that can be formed with spatial grid points. By using an equation in number theory to expand the study to a 4-dimension space, it is formed that the kinds of triangles—their symmetries included—which can be formed with 4-dimension grid points can also be formed in a 3-dimension space. In addition, all the possible kinds of triangles which can be formed in a 6-dimension space or up can also be formed in a 5-dimension space.

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太陽能發電環境評估與追蹤器探討

本研究首先探討台灣各地的日照時數與世界重要都市的比較,發現台灣南部日照時數皆超過2000 小時,適合發展太陽能。接著,?了增加陽光的能量密度而加設弗瑞奈透鏡,雖然能順利的使照度放大三百餘倍,但歲日照角度的影響甚鉅,?了克服角度的問題,我們決定開發自製的追蹤器來改善角度的問題。太陽能板需要改變仰角跟傾角(雙軸調整),由光感應器判斷及自動控制程式,判斷隨時辰與季節變化的太陽角度。當搭配奈米塗料、弗瑞奈透鏡與追蹤器,總輸出功率可增加約50%。太陽電池表面玻璃會阻擋藍紫光的吸收,但本研究在太陽能板上塗佈奈米塗料,發現能增加短波長的吸收;經實驗後奈米等級表面具有自潔效應,可防止灰塵雨滴的堆積影響光線吸收,具有開發價值。This project first compares Taiwanese locations with other places in the world on average daylight times. It was discovered that southern Taiwan has the longest average daylight time all over 2000 hour sand therefore most ripe for solar power development. To increase the energy density of solar Fresnel lenses were incorporated. Although this has the advantage of magnifying illumination by three hundred percent, the alignment angle for the solar panel will have a significant impact on performance. We then designed and built a automated tracking device with illumination sensors to control the elevation and inclination of the solar panel which adjusts the angle according to environmental conditions such as time of day and season. When solar cell collocate Nano coating, Fresnel lens, tracking device, its power can promote almost150%. The glasses on the solar cell will interfere solar cell absorbing blue and purple light, but we lay on a Nano coating and we find Nano coating can improve solar cell to absorb short wave; and surface o Nano have lotus effect, it can prevent dust and rain effecting solar cell absorb lights, and it is worth developing .

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