全國中小學科展

2025年

果蠅緯度相關晝夜節律特徵:穩定性、活動量分佈與演化意義 Latitude-Dependent Circadian Traits in Drosophila: Stability, Activity Peaks, and Evolutionary Implications

生物時鐘可對生物體的行為與生理造成影響,在探討晝夜節律特徵的差異時,過去研究常侷限於北美大陸的品系,缺少赤道及南半球品系的晝夜節律特徵探討。有鑒於黑腹果蠅在全球各大洲的廣泛分佈,因此我們以黑腹果蠅(近赤道與中高緯度品系)為材料,研究果蠅是否因緯度而有相異的晝夜節律特徵?結果顯示不同緯度的果蠅品系展現出相異的晝夜節律特徵。赤報品系在全暗狀態下仍維持原本光暗12小時的穩定節律,而南北半球的中高緯度品系則具有相似節律特徵,即在全暗狀態下的節律不對齊原本正常光源的穩定節律,其他如活動量、週期、及節律強度等皆有著品系間的差異。更進一步比對實驗中各個品系基因序列,研究發現per和tim在調控區段有許多SNP變異,顯示其與晝夜節律特徵的關係,有助於後續尋找更多造成晝夜節律特徵差異的可能遺傳變異並探討。

法拉第波輔助合成奈米鎳並應用於有機污染物的快速脫色 Nanostructured Nickel Synthesized through Faraday Waves and Its Application to Rapid Contaminants Decolorization

超音波已廣泛用於奈米粒子的製備,然可聽聞音對奈米粒子製備的影響卻少有研究。本研究以簡易喇叭裝置產生可聽聞音並在溶液表面產生法拉第波及內部流動,來輔助製備奈米鎳。法拉第波是一種表面非線性駐波,透過調整容器形狀、振動頻率等,可產生不同波形。本研究嘗試在法拉第波輔助下,以化學還原法及電沉積法製備出不同性質的奈米粒子。SEM量測並比較無輔助、法拉第波輔助、超音波輔助製備出的奈米鎳的形貌、分布的差異。並將其應用於有機物(即剛果紅、亞甲藍、4-硝基苯酚、2-硝基苯酚)之催化還原。而由SEM量測、催化還原結果及理論模擬反應熱可知,法拉第波確實能夠改善奈米鎳的粒徑大小、分散性、對氫的吸附能力及催化還原能力。

The Maximum Area of N-gons within the Intersection Region of Two Congruent Circles

At the 61st National High School Science Fair of Taiwan, the first-rank paper "The Study of the Largest Area of Inscribed Triangle within the Intersection of two circles" was presented. The authors discussed several properties of maximum area of inscribed triangles within intersection regions of two congruent circles. They only claim their results but without providing a rigorous proof. However, we give a proof by showing the convergence of the iteration of finding the largest height. Subsequently, we offer new methods to approach the problems such as the trigonometric identities, Jensen's Inequality to prove the maximum area of triangles and quadrangles within the intersection region of two congruent circles. Finally, we determined the maximum area for the case of n-gons. We conducted further research and discussion on this issue. In the future, we hope to prove why the maximum area of n-gons within the intersection region of two congruent circles occurs when there are two points on the intersection points of the two circles. We aim similar problems in the three-dimensional space, namely the maximum volume of tetrahedron within the intersection of two unit spheres.

微生物燃料電池結合外加磁場與TiO2海綿--對於提升產電與柴油降解效率之潛能評估

柴油汙染已然造成嚴重的生態危機,我們藉由微生物快速生長與代謝有機物的特性,結合MFC解決油汙。將自製PVB-TiO2海綿加入MFC陽極反應室中,在兩側添加釹磁鐵形成外加磁場。為提升MFC代謝柴油效能,我們探討MFC電極種類、PVB-TiO2海綿的TiO2添加濃度、磁鐵數量與方向等參數。結果顯示,添加PVB-TiO2海綿(12 g/L)及外加相斥兩顆磁場,對COD降解率、平均輸出電壓、VFA代謝產量與柴油降解率,較未添加組有最顯著提升。分別達成COD降解率增為1.4倍、平均輸出電壓增為1.8倍、柴油降解率增為2.0倍之效果。預期本實驗未來能對柴油汙染提供解方,降低柴油洩漏對環境的衝擊。

柔性光柵其光學特性與力學分析之研究 The Study of optical properties and stress analyzing of flexible diffraction grating

光柵作為常見的分光元件,應用於許多光學儀器中。然而,傳統光柵彈性較差且硬度較高,限制了其應用範圍。本研究利用具有高彈性和易形變特性的 PDMS 作為柔性光柵的材料,對不同厚度和彎曲程度的光柵進行一系列測試。為了探討厚度和彎曲曲率對繞射效果的影響,進行了不同厚度柔性光柵的繞射點分析實驗。實驗結果顯示,增加柔性光柵的厚度會提升其彎曲時第一亮紋的變化率;相反,減少厚度則會降低該變化率。隨後的研究進一步探討不同施力方式是否會影響柔性光柵的分光效果。通過拉伸和壓縮光柵,發現拉伸會使光柵的軌距變大,而壓縮則會使軌距變小。此外,研究還探討了利用 PDMS 複製類似光柵的結構是否具有分光效果。實驗結果顯示,複製的指紋確實展現了類似特性,期望未來能夠將這些特性實際應用於相關領域。

Plantastic Pods: The Grow Stick Rooting Revolution for Seeds & Cuttings

Cultivating plants from seeds or cuttings is a fundamental aspect of gardening and agriculture. While traditional methods have been practiced for centuries, there is a persistent need for innovative and efficient approaches to enhance plant growth and development. This section explores the challenges associated with traditional propagation methods and examines potential solutions offered by emerging technologies and materials. Plant propagation is necessary to allow efficient multiplication and distribution of desirable plant varieties (Sorensen & Garland, 2024). Plant propagation is the process of creating new plants. There are two primary methods of propagation: sexual and asexual. .Sexual propagation involves the union of pollen and egg, drawing genetic material from two parent plants to create a new, genetically diverse offspring. This process utilizes the floral parts of a plant. .Asexual propagation, on the other hand, involves taking a part of a single parent plant and inducing it to regenerate into a new plant. The resulting offspring is genetically identical to its parent. This method utilises the vegetative parts of a plant, such as stems, roots, or leaves. One emerging technology that has garnered attention in this field is the use of cocopeat, a sustainable growing medium derived from coconut husks (Pane et al. 2021). Cocopeat has been extensively studied as a potential alternative to peat moss in plant propagation (Gericke, 1940). It offers a favourable balance between air porosity and water holding capacity, promoting root development and nutrient uptake (Kalaivani and Jawaharlal, 2019). Furthermore, cocopeat is a renewable and environmentally-friendly resource, making it an attractive option for sustainable seedling cultivation. Research has shown that the use of cocopeat as a growing medium can enhance the growth of both vegetables and various ornamental plants, such as Impatiens. The biostimulant effect of the Trichoderma atroviride fungus, which can readily colonize coir, has been observed to increase aboveground biomass, flower production, pigments, and nutrient concentration in these plants (Traversari et al., 2024).

連通圖上行走路徑經過邊數期望值之研究

本研究延續自作者前一年的研究「連通圖上行走步數期望值之研究」,原題為在一個六面體中,有一隻螞蟻位於其中一個頂點並沿著邊行走,每當牠走到頂點時就會選擇一條邊繼續行走,且牠前往任何方向之機率皆相同,但不可走回頭路,求螞蟻回到出發點時經過邊數之期望值。本研究將題目延伸出了以下幾個問題,得出結論後並證明。結果如下:Kn (n - complete graph)、任意tree、Cm★Cn、Km★Kn中,螞蟻從其中一點vi出發,第一次走到另一點vj時經過邊數之期望值通式。除了研究不同的圖上點到點經過邊數期望值通式,針對圖論中經常用的距離 (點到點的最短路徑經過邊數) 與點到點的期望長度最大者進行比較,探討在圖上之性質。

探討影響臺灣周遭海域波浪能蘊藏量的關鍵因素 English Title:Investigation of Key Factors Influencing Wave Energy Potential in the Surrounding Waters of Taiwan

團隊透過分析臺灣台灣周遭八個處海洋浮標測站資料,自2021年1月到2024年10月為止之示性波高、平均週期、平均風速、海溫等資料間之相關性,並試從不同位置測站之海洋條件與大氣因素,來綜合探討影響臺灣周遭海域波浪能蘊藏量的關鍵因素。並透過分析海溫與波浪能變化的關係,試圖瞭解全球暖化平均海溫上升,對臺灣周遭波浪能蘊藏的變化趨勢。 團隊發現影響臺灣周遭海域波浪能蘊藏的因素,除了季節性季風的影響,黑潮主流以及澎湖水道的黑潮支流湧升流,也都 可能 是影響臺灣周遭海域波浪能蘊藏的重要因素。團隊也發現,在臺灣周遭海域波浪能蘊藏與海溫變化有負相關的趨勢,此現象與臺灣中央研究院針對過去70年,全球波浪能的變化趨勢並不一致。其原因可能是臺灣所屬地理位置環境的關係,也可能是分析的數據資料僅有4年無法準確看出趨勢變化。

廣義佩爾方程式的一些探討

這是一份將近持續四年的研究,而這一年佩爾質數的出現,讓我們的討論「突飛猛進」。 佩爾方程式是形如𝑥2−𝑚𝑦2=1的方程式,其中𝑘不為完全平方數之正整數。我們定義廣義佩爾方程式是形如𝑥2−𝑚𝑦2=𝑛 的方程式。在過去的研究中,我們主要從𝑥2−𝑘𝑦2=𝑝 (𝑘,𝑝 皆為互質的奇質數) 的正整數解開始研究,接著延伸到 𝑥2−𝑘𝑦2=2𝑚𝑝1𝑛1𝑝2𝑛2⋯𝑝𝑗𝑛𝑗,進而得到了解的唯一分解性質。而本次的研究,延續之前的工作,對佩爾質數展開了討論。利用蜈蚣彘,我們成功地發現了一些佩爾質數,猜測出一些可能的結果並證明;同時我們對佩爾質數的生成結構做了相當程度的了解。作為結束,設法利用分析的方法解決的之前的問題,以及對方程式的不可約解,是否存在較低次方根解,給出了必要條件。

Proposal for the Restoration of Fire-Damaged Soil Using Water-Soluble Aromatic Compounds Derived from Soil Actinomycetes

The following issues associated with soil affected by wildfires were identified: First, there was a significant decline in the populations of anaerobic and aerobic soil bacteria, which play a critical role in the decomposition and cycling of organic matter. This decline resulted in reduced water retention capacity and porosity of the soil, leading to poor moisture retention and increased evaporation compared to unaffected soil. Moreover, the organic matter content in the soil was significantly depleted, inhibiting plant growth. Additionally, there was a notable proliferation of methane-producing bacteria, which contribute to the greenhouse effect. It was further observed that fire-damaged soils exhibit limited natural recovery, even over prolonged periods. .An investigation into the underlying causes of these problems revealed that actinomycetes, the primary microorganisms responsible for producing watersoluble aromatic compounds in soil, are particularly sensitive to heat compared to other bacterial species. Research demonstrated that the population and diversity of actinomycetes are significantly diminished in soils exposed to wildfires. To mitigate these issues, water-soluble aromatic compounds produced by actinomycetes were extracted and introduced into wildfire-affected soil. This intervention promoted the restoration of actinomycetes populations, enabling their normal growth in the affected soil. Consequently, various wildfire-induced soil problems were effectively resolved. These outcomes were confirmed through the study...Key Words: Actinomycetes, anaerobic and aerobic soil bacteria, methane-producing bacteria, wildfires, water-soluble aromatic compounds.