全國中小學科展

2003年

海格的爆尾釘蝦-鹼性電池的探討

鹼性電池使用的電解液均為強鹼,電池中的鋅極會與其發生腐蝕反應,使得電池放電壽命降低,並產生氫氣,而大量氫氣使得電池有爆裂的危險,為了改善上述問題,我們自行設計了氣體觀測儀器,用來檢測銀鋅電池充放電與靜置時之氣體產生量,更藉由探討影響變因的過程找出銀鋅電池較合適之使用條件,其中包含電解液種類及濃度之選擇、電極面積與充電電流對使用效果之影響,並改善電池腐蝕程度;我們將鋅極以浸鍍處理(Sn:Pb =1:1 )並搭配電解液添加物(KOH:Zn(OH)42 -= 2:1) 可效率地抑制氣體產生;更用氯化銀粉末取代傳統氧化銀極片為正極,發現氯化銀可代替氧化銀電極,且有不錯的放電效果。;As we know, the electrolyte solution used in an alkalinebattery is a concentrated alkaline solution, which corrodes the zinc electrode in a battery of this kind. The corrosive reaction not only reduces the lifespan of the battery but also produces hydrogen, causing the battery to explode. This study is intended to help us design a device to measure the quantity of hydrogen gas generated in the charging of a zinc-silver battery. We have studied several factors affecting zinc-silver battery, including the variety of electrolyte, the concentration of alkaline solution, the surface of electrode, and the density of charging current, etc. To reduce the corrosion of zinc electrode, we plate the zinc electrode by the immersion electroless plating method, using several kinds of low-polluting anti-corrosive additives (metallic compounds such as lead and tin). We also add zincate ion into electrolyte solution to further reduce the quantity of hydrogen produced. The experiments show a zinc-silver alkaline battery works most efficiently, if the powder of silver chloride is used instead of silver oxide.

挑戰你的好眼力

想像一下,原來固定的一個黑色大正方形(以下我們簡稱S1)四個角經過較小之正方形(以下簡稱S2)遮蓋後旋轉,為什麼會有放大縮小的感覺呢?(圖一) 我們猜測這是因為未被遮蓋部分(以下簡稱S3)的面積改變了,所造成的結果。令S1的邊長為 r,S2的一個小正方形邊長為n,k=r-n,θ為旋轉角度,我們實際算出了旋轉角度θ對S3的面積函數,

Synthesis, Characterisation, and Temperature-sensitivity of Hydroxyl-Terminated Poly(N-isopropylamid

Background:\r Delivery of anticancer drugs in vivo can be achieved by using targetspecific\r drug carriers of various types – e.g. microspheres and liposomes –\r which can be applied intravenously, or subcutaneously via a hypodermal\r patch, etc. as appropriate to the type of drug carrier employed. Recently,\r interest has surged in the usage of amphiphilic polymeric micelles for this\r purpose, as they prove superior to other drug carriers in many ways. They\r have highly-hydrated hydrophilic shells, and hydrophobic cores wherein\r hydrophobic anticancer drugs such as adriamycin can be encapsulated\r during transport in the blood. Their main advantages include their\r smallness of size – enabling them to elude capture by the\r reticuloendothelial system (RES) – their stability in the bloodstream as\r shown in their low critical micelle concentration (CMC) values, their\r passive targeting of tumour sites via the enhanced permeability and\r retention (EPR) effect, and their ability to integrate an active targeting\r mechanism, e.g. antibody-antigen recognition, pH-sensitivity, etc.

無孤力點無交錯分割的區塊細分及五個新的Riordan組合結構

將一個集合{1,2,...,n}分成數個非空的集合(組,區塊),稱為此集合的一個分割。如果可以找到1 ≦ a 已知無孤立點無交錯分割以Riordan 數{rn}n≥0 =1,0,1,1,3,6,15,36,... 來計數。在這篇文章中我們研究無孤立點無交錯分割的一些性質。 首先我們考慮無孤立點的無交錯分割按區塊的細分。我們得出:集合{1,2,...,n}恰含k個區塊的無孤立點的無交錯分割的個數為: 其次,我們證明bn,k和多邊形的剖分有令人訝異的關連。令dn,k是用不相交對角線將凸n 邊形分成k 塊的方法。我們用代數方法證出 bn,k = dn+2−k ,k,也給了一個新的組合證明。 最後,透過對應的方法,我們找出了七個嶄新的組合結構,這些結構都是以Riordan 數來計數。 Partition the set {1,2,...,n} into several nonempty sets (blocks) and call it a partition. If there exists 1 ≦ a It is known that the nonsingleton noncrossing partitions are counted by Riordan numbers {rn}n≥0 =1,0,1,1,3,6,15,36,... In this paper we study the properties of them. First we consider the enumeration of nonsingleton noncrossing partitions in respect to the blocks. We prove that the number of nonsingleton noncrossing partitions of {1,2,...,n} with k blocks is Then we give a connection between nonsingleton noncrossing partitions and polygon dissections. Let dn,k be the ways to dissect an n –gon with noncrossing diagonals. We prove that bn,k = dn+2−k ,k We also give a combinatorial proof. Furthermore, by way of the technic of bijection, we find 7 new combinatorial structures counted by Riordan numbers.

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.

魂「縈」夢「牽」-談重金屬污染

近年來重金屬污染問題日益嚴重,因此檢測地下水、工業廢水中的重金屬含量為一重要課題。本實驗即是利用錄音機中的零件-石英振盪器作為電化學分析偵測的工作電極,在0.1 M KNO3(pH = 3)溶液中利用循環伏安法以50 mV/s 的掃描速度從 – 100 到 – 700 mV 持續掃描 10 圈,來穩定電極表面。 以方波陽極剝除伏安法(SWASV)模式設定預濃縮電位– 700 mV、預濃縮時間60 秒偵測重金屬的鉛離子。掃描電位範圍由 – 700 到 – 100 mV vs. Ag/AgCl 往氧化方向掃描。偵測鉛離子濃度範圍為200-600 ppb,之後可針對各種條件作最佳化的條件探討可降低偵測濃度及實際運用於地下水及工業廢水的檢測。 Heavy metal pollution becomes very serious. Lead (Pb) determination is a continuous research interest in clinical, environmental, and industrial application. The main causes for living biological media are mutagenic, carcinogenic, and teratogenic activity. The determination of trace metal in the ground and industrial waste water will be a important project. Here, we report a simple system which using quartz crystal microbalance (QCM) (use in radio machine) for working electrode. The QCM was first equilibrated in 0.1 M KNO3(pH = 3)base electrolyte for about 1 min before electrochemical experiments. It was then pretreated by continuous scans in the window from – 100 to – 700 mV at a scan rate of 50 mV/s until a stable background current obtained. The amount of Pb2+ was detected quantitatively using square-wave anodic stripping voltammetry(SWASV). The potential range was set from – 100 to – 700 mV in the cathodic direction for most cases. The standard addition method concentration range is from 200 to 600 ppb. Analytical conditions were systematically optimized and extended to practical applications aslo.

n x n 方格表中的計數問題

對4 × 4 方格表中計數問題的二個解題方法(1..解方程式的方法, 2.分割圖形的方法)作分析和研究後,首先我推廣分割圖形的方法來証明 : “好的n × n 方格表” 存在若且惟若n 為偶數。同時証明這種“好的n × n 方格表”內所有n2 個數的總和f(n) 為n(n+2)/4。當討論一般的n×m 方格表時,發現分割圖形的方法盲點,無法繼續推廣來証明。再經過深入分析與推廣解方程式的方法,藉由n×m 變數方格表,我們終於找到構造所有“好的n × m方格表”的方法。同時計算“好的n × m 方格表” (n≦m)內所有mn 個數的總和f(n,m), n≦7和証明好的nxm 方格表會有2(n+1)行一個循環的現象。We first studied two solution methods (1.solving equations,2.dissecting diagrams.) for calculations on 4x4 checkboard. Using the method of dissecting diagrams, we proved that``good nxn checkboard'' exists if and only if n is even. Furthermore, the sum f(n) of those n2 numbers in a ``good'' nxn checkboard is equal to n(n+2)/4.In studying the more general nx m checkboards, we found that the method of dissecting diagrams does not work, However, by extending the method of solving equations, and by considering nx m variable checkboards, we obtained a way of obtaining all ``good nxm checkboards.'' By way of computing the sum f(n,m) (n≦7) of those mn numbers in a ``good nxm checkboards,'' periodicity in every 2(n+1) rows is observed.

黑棘蟻聚落的生物時鐘

This study is to investigate whether colony of the spiny-weaver ant, Polyrhachis dives, have biological clock so as to observe the locomotion activities of the ants in the nest and find out if the Light period will interfere the rhythm. The conclusion is the colony of the ants get the rhythm is 23.8 hours during in L:D=12:12.There are ants not significant difference between large colonies and small colonies. While in Dark (D:D)the ants appears free running with 23.1 hours as the rhythm, so, the colony of the ants has obvious light-rhythm movement, showing that the biological clock will act on group and being controlled by light period. 本研究是在探討黑棘蟻 (polyrhachis dives) 聚落是否有生物時鐘(biological clock),以觀察黑棘蟻在巢裡的活動情形,找出週期並探討光是否會影響週期。結果觀察出黑棘蟻 的聚落在有光的時候(L:D=12:12)以23.8 小時為週期,沒有光的時候(D:D)黑棘蟻仍呈現自由律動(free running),以23.1 小時為週期,所以黑棘蟻的聚落有明顯的日週律動,顯示生物時鐘能作用在聚落上,且受光週期之調控。

Study of Highly Water - Absorbing Polymers from Natural Starch for Agricultural Use

The highly water-absorbing polymers were prepared by the reaction of acrylic acid as a graft\r monomer and natural starch (eg. rice starch, sticky rice starch or corn starch) as the backbone\r using water hydrogen peroxide and vitamin C as solvent, initiator and catalyst, respectively. The\r reaction was carried out by mixing of starch in distilling water and stirring at 60-70 ℃ for 3\r hours and then cooled to 30℃ Acrylic acid was added and the pH was adjusted to 6-9 by the\r addition of limestone powder. To the stirred mixture were then added hydrogen peroxide (30%\r v/v) and vitamin C and continued stirring for 3 hours until the solution became viscous The\r viscous solution was neutralized with potassium hydroxide (30%v/v) to give the pH for 6.5-7\r and allowed to cool to room temperature overnight. The resulting solution was spread on\r winnowing baskets and allowed to dry under the sun to yield a continuous absorbent polymer\r film. The absorbent polymer film was ground and yield of white powder, The above procedure\r was repeated by using another types of starch. The ability of starch slurry to swell on heating, by\r absorption of water, is it’s most important practical property. Rice starch has very low swelling\r capacity in aqueous media compare with sticky rice starch and corn starch. The capacities of\r water-absorbing polymer were tested by placing polymer powder in the beaker and adding of\r water until it swell and cannot absorb more water. The polymers were found to be an excellent\r water absorbent, which absorbed water about 248, 245 and 167 times in weight of polymer for\r corn starch, sticky rice starch and rice starch, respectively. The water retention was calculated by\r measuring the amount of water releasing after every week for 10 weeks. They have also good\r water retention capacity. The swollen polymers were mixed with soil in ratio 1:3 and the\r increasing water holding capacity of soils which promotes more efficient plant growth in pot were\r test. It was found that the soil could be absorbed water for 10 weeks. It is possible to use highly\r water-absorbing polymers from natural starch in agriculture because they are low in cost and the\r polysaccharide main portion of the product is biodegradable

台灣兒科病人罹患神經母細胞瘤者可檢測到微小病毒B19的存在

罹患神經母細胞瘤的兒科病人,尤其是罹患stage IVs 神經母細胞瘤者,他們有些伴隨著非常嚴重的貧血,但卻檢測不出神經母細胞瘤已經侵犯骨髓;有時病情來勢洶洶,尤其是腫瘤細胞中已可偵測到N-myc 基因增幅者,診斷時腫瘤細胞可能已在腹腔四處擴散並已侵犯大部分的肝臟。但是,某些這種病患,特別是腫瘤細胞中N-myc 基因沒增幅者,即使在沒有治療的狀況下卻可能有自然恢復的現象,也就是腫瘤細胞會自動消退,但原因仍待進一步的證實與探討。可是,這些病人在其病情最嚴重的時候,骨髓內紅血球母細胞形態上的改變顯示可能與病毒感染有關。但是關於病毒來源的研究,現有的資訊仍然十分有限,其中最重要的是,病毒感染與引發其後天之免疫作用是否有關,更需要深層的研究。因此,為更進一步了解罹患神經母細胞瘤之兒科病人的病毒感染及病毒蛋白表現的作用,我們這次研究的目的在檢驗罹患神經母細胞瘤及貧血之兒科病人與微小病毒B19 (PVB19)、Epstein-Barr Virus (EBV)、腸病毒71 型(EV 71)和巨細胞病毒(CMV)的關係,以及病毒蛋白表現對這些病人的作用與臨床意義。In pediatric patients with neuroblastoma, in particular, those with stage IVs neuroblastoma, sometimes the disease was combined with severe anemia. However, no tumor involvement was detected in the bone marrow. Although some of these patients may have N-myc gene amplification, and the disease could have invaded many abdominal organs, especially liver, interestingly, the disease might regress spontaneously in some of these patients. The medical reason of the spontaneous regression, nonetheless, remains to be determined. It is worth noting that morphological changes of erythroid progenitor cells in the bone marrow have suggested virus infection in these pediatric patients. However, the available information of viral origin is limited. Furthermore, it is possible that the virus infection in these patients could be associated with the revocation of immune responses related to the spontaneous regression of the tumor. In this study we will investigate the relationship of parvovirus B19 (PVB19), Epstein-Barr virus (EBV), enterovirus 71 (EV71) and cytomegalovirus (CMV) with neuroblastoma by PCR in Taiwanese pediatric patients. Moreover, we will study the effect and the clinical significance of viral gene expression as well as N-myc gene amplification in these patients.