全國中小學科展

臺灣

“氮”憑本事-土壤中單棲固氮細菌族群比例及親緣關係探討

Azotobacteraceae 為一單棲固氮菌科,包含Azotobacter 與Azomonas 兩菌屬,在農業上可用來改善缺氮的貧瘠土壤。在分離土壤中的Azotobacteraceae 時,發現非單棲固氮菌與單棲固氮菌間可能具有共生的情形。我們利用優勢培養(缺氮)的方法篩選土壤中的Azotobacteraceae,將優勢培養後所生成的菌落稀釋104~106倍後,能有效分離Azotobacter 與Azomonas,然而低於此稀釋倍率則會形成混合菌落,其中可同時發現單棲固氮菌與非單棲固氮菌存在,推測某些非固氮菌在優勢培養過程中可能可從單棲固氮菌獲得氮源,與之共生。此外亦從菌種形態的差異並配合顯微螢光雜合技術(fluorescence in situ hybridization, FISH)、分子遺傳標記(16S-rDNA)等方式,分析土壤中的Azotobacteraceae,探討單棲固氮菌及其他非單棲固氮菌在培養基上的生長情形、比例及親緣關係。The family Azotobacteraceace is group of free-living nitrogen-fixing bacteria that is found in soil. Two genera are within this family: Azotobacter and Azomonas. Agriculturally, it is often used to improve fertility for nitrogen deficient barren lands. We analyze the Azotobacteraceace according to molecular biology and traditional taxonomy. We used an enrichment procedure to culture the bacteria, and diluted it repeatedly. We found it most suitable to dilute it 104~106 times to best separate Azotobacter from Azomonas. If the concentration were to be higher than this, mixed flora containing many different bacteria species would be found. Moreover, we noticed that non nitrogen-fixing bacteria, symbiotic nitrogen-fixing bacteria, and free-living nitrogen-fixing bacteria would form a single colony on a nitrogen-deprived medium. This implies that a symbiotic relationship may exist between nitrogen-fixing bacteria and non nitrogen-fixing bacteria. We also discuss the growing situation, the group proportion, and the relationships between free-living nixtron fixing bacteria and other bacteria by morphology, fluorescence in situ hybridization (FISH), and molecular biology.

傑克船長的心機

傑克船長和他的海盜們掠奪到許多箱珍寶,每箱含有數量不等的金幣及鑽石。船員們深怕傑克船長又出什麼陰謀,一致同意讓船長任選一半的箱子拿走。\r 當然,傑克不知道金幣和鑽石的價格比,為了保證可以得到一半的利益,傑克希望他拿到的金幣和鑽石都各占一半。傑克的願望會實現嗎?\r 這個問題已用高等數學證明其解,而本研究利用初等數學的方法,除證明傑克需取的最少箱子數外,同時也能更快速的算出取法。\r 類似的結果可應用至分配災區物資等情形,或任何無法轉移、獨立的資源,如各式專長的人才、多功能的機械等,期望可對更有效的分配做出貢獻。

在過氧化緊迫下,粒腺體的變化與細胞凋亡的關係

因為在我們高中所學到的細胞中,粒線體是提供細胞能量的重要胞器,所以細胞凋亡時,粒線體一定也參其中。 \r 本研究發現200μM過氧化氫(H2O2)作用6小時後存活率就低於50%,而誘發細胞死亡的過程中,我們發現細胞質內的粒線體有變的越來越稀疏情況,且集中在細胞核四周的粒線體也減少許多,其結構也變的鬆散不完整。最後在細胞核出現DNA被切成小片段時,粒線體的型態及結構完全消失,粒線體的量減少到極微量,這致使細胞完全沒有能量供給而死亡。 \r 結論告訴我們細胞的死亡跟粒線體的功能喪失及形態破壞有極大的關係。

直角三角形生成關係的研究與發展

k(2αβ ,α2 ? β2,α2 + β2 )是大家熟悉畢氏定理的通式解,且一般書籍的証明大都採用代數的手法證明。以國中生而言,上述的代數方對國中生來說不夠直接且較無推展的實用性。因此幾何觀點出發發展另一種思考方式,利用角平線的性質給予畢氏定理比例解另一種全新的詮釋,並賦予比例解中的參數α 、β 在幾何的意義。在推理的過程中,我們得到一個相當有用的對應關係:一個有理數對應到一個直角三角形、兩個有理數對應到海倫三角形,再將此對應關係運用到各種幾何圖形上面,即可證明出他們所對應的通式解。最後我的興趣鎖定在海倫三角形、完美海倫多邊形與超完美海倫多邊形上的做圖方法上,善用我們所發展的對應關係,上述的問題皆可迎刃而解。k(2αβ ,α2 ? β2,α2 + β2 ) is a popular formula in Pythagoras Theory, often proved in algebra approach among books. Nevertheless, in light of junior high students, the aforementioned algebra method is neither direct nor practical. Hence, a different thinking method is derived from geometry perspective, using the straight line concept to reinterpret Pythagoras Theory and define the geometric meanings of α andβ . In the process of logical development, a useful correlation emerges: a rational number correlates with a straight-angled triangle, and two rational numbers correlate with Heron Triangle. This correlation can be applied to all kinds of geometrical diagrams to prove the correlated homogenous solution. Ultimately, my interest lies in the diagram methods of Heron Triangle, Perfect Heron Polygon, and Super Perfect Heron Polygon in order to apply our developed correlations to solve the above mentioned problems.

台灣地區青少年體表面積與相關生活因子之研究

人體表面積在醫學的應用相當重要:燒燙傷的評估是以全身面積被灼傷的百分比 表示;營養狀況的評估,新陳代謝率也以單位表面積表示之;體液或藥物之需求量也 是以體表面積來決定劑量;然而人體是一不規則物體,應用一般幾何面積計算公式有 其困難處,如何快速的計算人體表面積,以作為醫療的指引,有其必要性。而青少年 正處於快速發育期,各部位的成長是否會影響表面積的計算,由於目前鮮少對青少年 之專文報告,尤其缺乏台灣地區之調查。為了探索這些問題,乃進行調查與研究。 本研究以台灣地區國民中小學10 至15 歲青少年為對象,探討在此發育期間體格 之變化及可能之影響相關因子,並建立體表面積之快速計算公式。本研究隨機取樣以 1209 人形成樣本,其中男生623 人,女生586 人,利用尺秤,取得身體各部位的資料, 並以問卷調查運動、飲食與睡眠等問題,以探討影響此成長期發育之因子。結果發現: 台灣青少年體表面積快速計算公式為(身高x 體重 ÷37)0.5;其體表面積九分法計算方 式也有別於一般歐美成年人的計算法;及此年齡層的身高與體重受運動的頻率、運動 持久性、飲食習慣多寡的影響,而與運動種類及主食種類相關性不大,這項研究的發 現,將有助於醫護人員對青少年問題的處理。Body Surface Area (BSA) has been used in many clinical conditions to calculate the percentage of burned area, to evaluate the nutrition status - the unit of the metabolic rate, to determine the need of fluid supply or the medicine dosage requirement. So precise measurement of BSA is very important, however the human body is an irregular shape, a laborious task using the geometrical method. To establish a simple quick formula to guide the therapeutic treatment is a necessity. Also the rapid growth phase during the adolescent stage might change the BSA in some way. BSA has not been established for the teenagers in Taiwan. To investigate this issue, a total of 1209 healthy elementary and junior high school boys (623) and girls (586) aged 10 to 15 in Taiwan were recruited by random selection. By use of anthropometrical measurements and a health questionnaire to the subject simultaneously, the data was analyzed statistically. The results revealed that a quick adequate formula derived from the body height and weight for Taiwan teenagers was determined by the formula, BSA = [ Height (meter ) x Weight (Kg) ÷37 ] 0.5, the Taiwan teenage “rule of the nine” of BSA is different from that of the adult, and that the frequency and the duration of exercise, the diet habit, and the duration of sleep significantly influence both body growth and weight. These findings may provide significant references for the physicians to treat the clinical conditions of teenagers in Taiwan.

廣鹽性吳郭魚氯離子調節機制- - - NKCC在氯細胞中扮演之角色

本實驗中我們利用廣鹽性吳郭魚進行氯離子調節機制的研究,探討廣鹽性吳郭魚如何能在不同環境中維持體內氯離子恆定,進而適應生存環境。我門想要探討:『是否NKCC 這種蛋白質在淡水吳郭魚MR 細胞中扮演吸收 Cl- 的角色? 如果是,吳郭魚又如何藉NKCC 的調節適應環境中 Cl- 的變化呢?』我們利用細胞免疫螢光染色法、西方墨點法和共軛焦顯微鏡觀察分析NKCC 在不同 Cl- 濃度人工淡水馴養的吳郭魚MR 細胞上的表現量,結果發現 NKCC 分布於頂端細胞膜(又稱為細胞開口),及其附近的細胞質內;環境中 Na+ 濃度的差異對NKCC 在MR 細胞上的表現影響不大,但低 Cl- 環境馴養的吳郭魚,NKCC 表現量都高出其他組很多。顯示NKCC 參與了氯吸收的機制。另一個實驗中,我們將吳郭魚由淡水中轉移至海水以分析它們在適應海水的過程中NKCC 的表現變化。結果發現在馴養初期(16 小時內),圓點狀NKCC 仍然可以在MR 細胞的開口附近觀察到,但到了24 小時後,NKCC 在開口的表現就明顯減少甚至消失,取而代之的是轉移到底側邊細胞膜上的NKCC。此實驗證實了NKCC 這一個與Cl-運送相關的蛋白質,在廣鹽性吳郭魚氯離子調節中扮演了很重要的角色。 Euryhaline tilapia (Oreochromis mossambicus) is capable of maintaining internal ion constant ineither hypertonic or hypotonic environments (fresh water or seawater).MR cells in the gills of tilapia play critical role in absorbing Cl- from fresh water or pumping redundant Cl- from body fluid into seawater. Chloride transporter (NKCC) which distributed in basolateral membrane of MR cells is involved in Cl- secretion of seawater teleost. However, the mechanism of Cl- absorption in fresh water MR cells is still unclear. Whether NKCC is also involved in Cl- absorption and how do tilapia regulate Cl- absorption are the questions this study aim to answer. By using immunofluorescent staining, western blot, and confocal microscopy, the distribution and expression level of NKCC in fresh water MR cells were examined. We found that NKCC is distributed on the apical membrane of freshwater MR cells where is known to be the site for active Cl- absorption of MR cells. We compared the expression level of NKCC in MR cells from tilapia acclimated in high, normal, and low Cl- artificial water for 7 days. The results showed that NKCC is induced by ambient low Cl- , and in contrast suppressed by high Cl- water, indicating NKCC might be involved in Cl- absorption of freshwater MR cells and up-or down-regulated to maintain Cl- uptake constant. In addition, we also examine the expression pattern of NKCC in MR cells from tilapia transferred from fresh water to seawater. Confocal images show that apical expressed NKCC disappear gradually within 24h seawater acclimation and is substituted by basolateral expressed NKCC. This study provides a novel regulatory mechanism of NKCC in Cl- transporter of MR cells.

史用說明-史萊姆的應用

從小我們就很喜歡玩史萊姆,又黏又Q的史萊姆除了可以當玩具紓壓之外,還可以有什麼其他生活應用呢?查了相關文獻和資料之後,我們找出史萊姆的原料:聚乙烯醇與硼砂水,同時,測試史萊姆的黏性、作為冰敷袋的效果,以及清潔鍵盤的效果等實驗。在黏性實驗中,五種聚乙烯醇的表現皆有所差異。在冰敷袋實驗方面,史萊姆做成的冰敷袋可以增加受傷部位冰敷的時間,且沒有漏水的問題。在清潔鍵盤上,大部分史萊姆可以達到清潔鍵盤表面與隙縫,而且沒有殘膠的效果。

約瑟夫問題

最後留下數字會是多少?該問題在台灣的全國中小學科學展覽出現多次。而資訊界演算法大師Donlad E. Knuth 在其著作The Art of Programing,CONCRETE MATHEMATICS (具體數學),針對該數列作詳細的說明;但是,不論是歷屆全國中小學科學展覽或是大師著作,對於該問題,都只是談及殺1 留β或是殺α留1。本研究利用獨創α分類、n 及k 分類、d 函數、b 函數及循環、n 及y 分類、碎形數列和演變關係,將約瑟夫問題探討範圍提升至殺α(個數)留β(個數),直到剩下最後1 個數時就不能再殺了,遊戲終止,倒數第k 個留下的自然數是多少?同時,本研究在殺α(個數)留β(個數)下,指定自然數y 為酋長,酋長不能被殺,殺到酋長時遊戲停止,求剩下的自然數有幾個?會發生什麼情形?The Josephus problem refers to what will be remaining when arranging n natural numbers in a circle and starting killing one and leaving the next one alive. The problem has been on display for many times in Taiwan National Primary and High School Science Exhibitions (as shown in Table 1). And, the information algorithm master, Donald E. Knuth has elaborated on the array in his works The Art of Programming, CONCRETE MATHEMATICS. However, both the past science exhibitions and the master’s works are limited to discussions on cases of killing 1 leaving β or killing α and leaving 1. This research employs uniquely created α classification, n and k classifications, d function, b function and loop theory to extend the Josephus problem scope to killing α leaving β to find out what the remaining natural number is by No. k counted recursively. Meanwhile, this research designates natural number y as the chieftain, which can never be killed. The game is over when the chieftain is to be killed. The problem is to work out how many natural numbers are remaining. And what happened?

聚對苯二甲酸乙二醇與聚乳酸共混材料之降解研究

本實驗目的在於嘗試降解傳統塑膠材料。實驗中選用極為常見的傳統塑膠,聚對苯二甲酸乙二醇ploy ethylene terephthalate (PET),與生物可分解材料,聚乳酸poly lactic acid (PLA),將兩者以不同比例物理性混摻,並以豬胰線脂肪酵素Lipase from porcine pancreas, TypeⅡ (PPL)進行降解,期望藉由生分解材料可被完全分解的特性牽引傳統塑膠材料進行降解。\r 本實驗共分兩階段:第一階段實驗中,將共溶劑揮發製膜進行降解,但由於溶劑法所留下的孔洞,影響了降解速率;因此,在第二階段實驗中,改以熱壓的方式製膜解決孔洞問題,並於降解後以儀器分析降解情形。結果發現:混合薄膜經降解後熔點有下降的趨勢,此可佐證確實可以生分解材料PLA牽引傳統塑膠料PET進行降解,且降解速率和結晶情形和分子鏈段纏繞程度有關,在PET與PLA濃度同為3%時降解情形最佳。

這不是群體防禦─反駁行為學家對魚群行為的高估

This study is to discuss the reason that interfere the fish schooling behavior " adult fish surround the young fish ". I use mathematic simulation, to observe the result when the fishes are stimulated, due to the body size , the speed of swimming , the difference of sensitivity will make different reaction. We predict the motion dots of fish when the hunter appears on the block paper, then analyzes the motion of adult fish and young fish in dot to determine if the result remind "adult fish surround the young fish "structure. The conclusion shown that natural reaction physiologically on fish will show "Adult fish surround the young fish "results, so, the factor that interfere the structure of fish group is not so called "group defense by ethnologist".本研究目的,在探討影響魚群「成魚圍繞著幼魚游」的行為。本研究是以數學模擬法,依觀察結果,設定魚在受到刺激後,因體型大小、游速的快慢、靈敏度的差異等,所產生的不同的反應。再在方格紙上模擬魚群在捕食者出現時,游開的動線。最後分析成魚幼魚的動線分布情形,是否仍是「成魚游在幼魚外圍」的魚群結構。研究結果發現,依魚類的生理條件所設定的條件下模擬,自然形成「成魚游在幼魚外圍」的魚群結構。所以,影響魚群結構的因素,的確不是行為學家所說的防禦行為。