利用雷射的干射與繞射來測量頭髮直徑，從中觀察雷射的繞射與干射的現象。我們除了對光線的波動性質要加以了解之外，也要瞭解雷射產生繞射與干射現象的條件與異同。這些都是我們要挑戰的部分。首先我們利用簡單的雷射筆就可以得到圓孔繞射的圖形，進而將頭髮置於圓孔之間，來形成雙圓孔的繞射與干射雙重效應的合成效果。得到了多美麗的圖案。在這些迷眩的圖案之中，我們知道大自然的奧祕就在這裏面。為了捕捉這些圖案，我們花了不少代價來學習如何在暗室中攝影，如何控制長時間曝光技巧。其次，我們雖然掌握了數據取得的技巧，但是我們對數據解釋的方式較弱，所以估計而得的頭髮直徑是令人沮喪的。最後，我們回到單狹縫的繞射現象，終於得到比較令人滿意的數據。

Two soldiers walk on a checkerboard. They can only walk one step once a time and two directions, front and left, are decided randomly. The gunshot is the column and row where a soldier is located, and one will die if he enters the gunshot area of the other. To treat the probability of winning, we first study the cases of 1×n, 2×n, 3×n, and 4×n rectangles iterately. Then we establish a general form of the probability of winning in a general n×k rectangle by using recurrence technique and generating function, respectively. Finally, we extend to the general n×m×k cuboid case to obtain the first soldier’s probability of winning.在一個長方形的棋盤中，兩士兵行走，每一次只走一步，而且上和左兩個方向是隨機的，射程範圍是所在的此行和此列，而進入他人射程範圍則死亡。探討其獲勝機率，從1×n 、2×n、3×n、4×n 矩形的情形逐步研究，並分別運用遞迴式的技巧及生成函數，導出 n×k 矩形中先走士兵獲勝機率的一般式。更進一步地，我們也獲得了n×m×k 立體空間先走士兵的獲勝機率。

The Bay Mau Lake inside the Thong Nhat Park in Hanoi is the second largest lake in\r Hanoi. The lake serves not just as an equitable tank for the rainwater, as a reservoir for\r intake of wastewater, as a wastewater treatment pond, but also as a recreation area for\r Hanoi people and visitors from other provinces. The Bay Mau Lake is polluted at\r alarming level.\r The author has carried out a study on the water pollution level and the sources of\r pollution. The study revealed that the lake polluted mainly by domestic wastewater\r discharging from living quarters with total about 800,000 inhabitants. The author\r demonstrated different measures to reduce the pollution level in the lake such as raising\r environmental awareness for the public, a simple, reasonable cheap measure, which can\r be both realistic and effective. Besides, the author proposed to use bio-treatment of the\r water discharging into the Bay Mau Lake, building of a pumping station, fish farming...\r The clay-paper fibre mixture is used for the biological treatment of wastewater at the\r inlets. The advantage of this method is that it is a simple, cheap and realistic solution.\r Treatment of the water using clay and paper fibre mixture for filtration and plantation of\r aquatic plants as lotus and water lily together will provide oxygen for the aquatic\r environment of the lake. As results of the study, it is recommended to use both methods,\r namely raising environmental awareness for the public and biotreatement method using\r clay and paper fibre, to improve water quality of the lake.

國中理化有水的體積對應溫度的圖形，若將其轉換成密度對應溫度的圖形應該是如圖所示。若要繪出正確的實驗結果，密度至少需測量至104g/ml的等級，而且要有恆溫的加熱冷卻系統。在不斷實驗改良下，我與同學們共同發展出一套磁力懸浮系統來測量液體密度，其實驗結果已初步達到預設的目標，以下是整個研究及測量的過程。

本組結合暗箱及光度計組成自製光度實驗儀器，並利用廢棄電腦風扇及強力磁鐵製成自製攪拌器，探討影響活性碳吸附能力的因素，本組測量紫藥水透光度，求得透光度與其成份龍膽紫濃度的函數關係；並利用過量的NaOH(aq)與銅離子發生沉澱，算出一克活性碳可吸附龍膽紫及銅離子的個數。結果顯示增加紫藥水濃度或減少活性碳質量，甚至升溫，活性碳吸附龍膽紫效果均增加。但溫度對其吸附能力影響較小，若將紫藥水溫度從30℃加熱至90℃，活性碳吸附龍膽紫的個數只增加百分之十，攪拌時間則並無規律影響；而一克活性碳可吸附的龍膽紫與銅離子個數比約2：1。本組也取了竹炭及木炭，比較其吸附色素的能力，結果活性碳吸附能力最佳，竹炭及木炭無明顯吸附能力。

有一天在書上看到了一個圖形（如圖一）書上提出了一個問題，究竟這個圖形共有多少個正方形（大小不同）？於是拿出筆來仔細的研究一番，發覺此圓形中每邊一格大的正方形有（如圖二）4 ×4=16 們；每邊兩格大的正方形（如圖三）有 3×3=9 個；每邊三格大的正方形（如圖四）有 2×2=4 個；每邊四格大的正方形（如圓一）有 l×l=l 個故此圖形中共有正方形4x4+3x3+2x2+1x1=4 2+3 2+2 2+1 2=30個此恰合1 2+2 2+3 2+4 2+......+n 2之形式，經請教老師的結果得知1 2+ 2 2+3 2+....+n 2 =1/6n(n+1) (2n+l)，因此若欲解決有如上式形式的問題最簡捷的方法是1.算看看每邊有幾格小正方格 2.若每邊有 2 個，則 n=2 ；每邊有 5 個 n=5...再將n個代入1/6n(n+1)(2n+1)很快即能求得答案”解決了上述問題腦中突然浮現了三個問題：(一)假如原圖是個長方形則究竟（如圖五、圖六）1/6n(n+1)(2n+1)是否管用？若不能用究竟又要如何才能很快的求得答案。；(二)如在每邊 n 個小格的正方形中閻挖掘小正方形(如圖七、八) 則在此圖中，究竟合有多少個實心正方形？（正方形面積完整）(三)如在每邊 n 們小格的正方形中問挖掘小正方形（如圖七、圖八)則若單以所劃正方形（空心）為準，究竟又有多少個呢？ 為解決心中疑竇遂邋了陳瑞靜來共同研究，皇天不負苦心人”終於解決了這三個問題，以下就是我們兩人的研究過程與結果”

本試驗旨在探討色光對海蘭蛋雞產蛋數、蛋重與蛋殼硬度之影響並比較以玻璃紙與軟條燈照射對前述性狀之差異。結果顯示，蛋重方面，以軟燈條所進行試驗之結果(綠＞紅＞黃＞藍)與玻璃紙試驗(藍＞黃＞紅＞綠)結果完全相反。產蛋數方面，軟燈條進行試驗之結果(綠＞紅＞黃＞藍)與玻璃紙試驗(黃＞紅＞綠＞藍)結果略有不同，除了藍光組外，其餘組別之產蛋數差異不大。蛋殼硬度方面，無論以玻璃紙或軟燈條所進行試驗，其蛋殼硬度皆以藍光組之蛋殼最硬，其次黃光組、紅光組，綠光組之蛋殼最薄。因此，綜合試驗結果建議若要提升蛋重、產蛋數與蛋殼硬度品質則建議選擇紅光和黃光組為佳。

本研究針對利吉惡地進行探討，研究此區之泥岩含水量、有機質含量、pH值、比重、可溶性陽離子含量、滲水特性和該區之植物種類，並探討坡度、水量對沖蝕率、山脊密度和溝痕形成之影響。 研究結果發現： 一、表層泥岩之含水率較高，深層泥岩最低。中層泥岩之有機質含量較高，表層與深層泥岩較低。各層泥岩pH值約8.1；無植被採樣點之 pH較高，有植被採樣點偏中性。有植被採樣點，其 Ca2+含量較高。 二、此區共發現十九種植物，其中銀合歡、相思樹屬優勢種。 三、坡度增加時，沖蝕率亦增加；水量增加時，沖蝕率、溝痕寬度也隨之增加，兩者呈高度正相關。第一區坡度較緩，山脊密度較大，第二區坡度較陡，山脊密度小，表面較平坦，溝痕較淺。Our research discusses with the contents of water in mudstone, the organic content, pH, the specific weight, the contents of dissoluble cation, dankness and the category of plants in Ligiligi Badland. Dissecting it`s slope, the abrasion of water, the density of mountain ridge and the formation of scuff mark. Outcome of our research： 1.Solum of mudstone is the dampest. Intermediate of mudstone has more organic content than others. Every bed of mudstone`s PH is 8.1. Having plants area is indifferent and having more Ca2+.2.We found nineteen categories of plants. For example Leucaena glauca and Taiwan acacia. 3.The more augmentation of gradient,the more increase of the abrasion of water and the breadth of the density and the abrasion of water too.

This scientific research project “Tharn Din - Alternative Energy Source of the Future” is directed toward producing a new type of soil charcoal. Tharn Din, with excellent combustibility. The experiments were divided into six steps. First, we selected soils of exceptional adhesion property Next, we looked into many different combustible materials for soil admixtures. Many different formulas of soils and admixtures were tested. The most promising formulas were then optimized for maximum combustibility. After which, the best formula was chosen and we further optimized its combustibility. Combustion and ignition rate and characteristics of this formula were investigated. And lastly the effect of surface area on combustible rate was examined. It was found that mud was the best adhesive and wood chip was the best admixture. Tharn Din made of one part of mud and 3 parts of wood chips released higher thermal energy than normal charcoals. We found that a special type of Thai soil, Din See-eaw, when mixed with wood chips created Tharn Din of exceptional combustibi1it Ignition and combustible rates are proportional to the surface area of Tharn Din.

如果n-1 個正四面體在n 個面的多面體棋盤中翻轉(如：正八面體、正二十面體、五邊雙菱錐及三角錐台棋盤)，則正四面體相互之間會受到很多限制。本研究為探討n-1 個正四面體在n 個面的多面體棋盤中，利用其翻轉的特性，翻轉至相鄰空格，進而完成：1. 每個正四面體的底面及側面均能「同色共面」。2. 在滿足以上的兩個條件下做「數字排序」。3. 探討每個遊戲在各階段是否有解的情形。最後，將遊戲推廣至正八面體在多面體棋盤中的翻轉。If n-1 pyramids can turn in the chessboard of n planes pyramids (ex: 8 planes pyramid, 20 planes pyramid, 5 sides bi rhombus pyramid and triangular pyramid chessboard) there are lost of restrictions between these pyramids. This research is discussing about the n-1 pyramids in the chessboard of n planes multi pyramid, which have the peculiarity of turn that can turn to nearby space. We found that: 1. Each pyramid’s button plane and aide plane can be “same plane same color”. 2. Matching about 2 conditions then can do “order by numbers”. 3. Search for answers of each levels in each game. Finally, the game will be propagated to eight planes pyramid can turn on the chessboard of multi pyramid.

擴音器形狀怪異奇特的也不少，仔細聆聽，在不同地點藉由不同外型的擴音器所播放出的聲音，讓我們感覺其音色與音量上的微妙差異而萌發出了好奇心。以自製的紙杯喇叭進行實驗，有趣的探討。發現如下：一、底面積與長度的愈大，其音量隨之提升；在三種形狀的比較，正方體的音量最為大聲。二、為厚度愈厚，音量有愈大，音色也愈感宏厚，難怪現在的擴音器愈做愈厚。三、非空曠空間中，紙杯喇叭所播放出聲音的音量竟然比在空曠地點大聲。四、各種不同外型的擴音器各自有其適合自己的聲波頻率範圍；依結果可知，外壁長度愈長的紙杯喇叭所適合的頻率愈高，長度愈短則反之。