有一個科學小遊戲，將濾油網對向光源可看到美麗的光譜。我們對此現象感到好奇。國中自然課本中有一個色光的實驗，將白光透過玻璃紙的濾光和色紙的反射，可看到不同的顏色，我們的實驗結果卻不符合課本內容。於是想用光柵片來分析色光，探討實驗的問題。我們實驗的結論如下。雷射光是單色光，其它的光源如太陽光、日光燈和LED燈都不是單色光。玻璃紙的濾光功效不完全。色紙反射白光的功效和角度有關。以兩條上下並行的狹縫和光柵片所產生的光譜進行混色，得到與課本相同的結果。利用光柵繞射方法，可以求出蒸餾水的折射率，對照利用入射角與折射角求折射率的傳統方法，所得到的結果相當一致。

日光燈是我們最常用的照明設備。傳統的日光燈是屬於電感性的負載，接上電源後其電壓與電流的波形會產生異相位的問題，造成無效功率。本研究是以簡單而且經濟的方法在日光燈的兩端並聯電容器以改善其電流落後電壓的情形，減少無效功率，降低電力的消耗。研究中測量日光燈的等效阻抗，並加以相應的補償電容，從電路實驗中觀察，得到功率修正的結果。Fluorescent lamps shine our lives everywhere. However, traditional fluorescent lamps are inductive loads and produce a phase angle between voltage and current when connected to an alternating power supply, which leads to considerable electricity losses. This project uses parallel capacitors with the fluorescent lamp to compensate the phase difference between current and voltage, and thus reduces power consumption. In the study the impedance of a CFL (Compact Fluorescent Lamp) bulb has been measured and compensated with corresponding capacitance. Finally, the power consumption reduction is verified with experimental results.

The Project applicant proposes to develop fahaheel Beach by constructing a mall. This mall will be incipience and unique in Kuwait. The mall is divided to three parts; first part includes shops, Reception, Entertainment areas (cinema, beauty center, gymnasiums), Second part involved a food court for customers who want to stay for long time in the mall., Last part includes outdoor playgrounds, and out door game courts(tennis, foot ball, hand ball, basket ball), out door coffee shop. The intended goal of this project is to provide high quality, cost-effective, unique experiment of shopping and fishing services in accordance with global standards of excellence. Work. The Main task of the preliminary design phase was to balance the equation of any investment commercial project which is to provide a design that serves as an attraction spot for investors, shoppers and visitors. The design of this mall was based on the latest technology and techniques which helped in achieving the desired concept. It has been designed using the highest standards and finest finishing material whether internally or externally. The fine quality of material and high solar performance glass will help in minimizing the electrical load by decreasing the air conditioning load required. All material has been chosen to suit the image and quality to be resembled in the mall and the tower will turn out to be a master piece that has utilized newly introduced up to date building technical installation. The mall will provide a full service of shopping and entertainment facility covering over10,500sq.meter op space within this space are dedicated areas for fitness health, recreation, spa social, dining, entertainment, childcare and beach.

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，

電風扇在炙熱的夏日中為冷器以外不可或缺的生活用品。一個典型的電風扇是由架在可調高度鐵柱上的馬達及風扇構成。現行傳統電風扇有幾個缺點，一、馬達風扇(即重心)位置高，有易傾覆的缺點。二、風力分散，風速不高。三、吹出不可調室溫溫度的風。四、外觀呆板，傳統無奇。五、多噪音等。本研究根據這幾點傳統電風扇缺點，試著設計新的電風扇。首先將柱子移除使重心降至接近地面處。接著根據連續方程式(continuity equationρ1A1V1 ＝ρ2A2V2)製作圓錐狀「號角」裝置套於電風扇上以集中風力並減少噪音。最後企圖使用熱電半導體的致冷器降低輸出風的溫度。研究結果發現號角裝置有效達到預期的集中風力增加範圍目的。不幸發現以熱電半導體降溫的方式效率低且耗損過多能量所以可行性較低。雖然沒有降溫功能，本電風扇仍較傳統電風扇多出許多好處，例如加強的安全性、集中的風和強大擴充性。號角裝置可包含空氣清淨甚至音箱功能充當喇叭。Electric fans are a necessity during summer, especially in a hot and humid place such as Taiwan. A typical electric fan is primarily composed of an electric motor with fans mounted on a strut with user adjustable elevations. This setup presents several problems, including (a) the danger of an accidental tip-over due to the fan's elevated weight center (the heavy motor), (b) high wind dispersal rates, (c) room temperature winds, (d) excessive noise and (e) old, antiquated exterior appearance. This particular study attempts to alleviate all these problems. First the weight center is lowered to ground level by removing the entire strut and placing the motor close to the floor. Next by using calculations from the continuity equation(continuity equationρ1A1V1 ＝ρ2A2V2)a cone shaped “horn” device is placed over the fan in order to concentrate the wind, effectively increasing its speed while decreasing the audible noise level. Finally, an attempt was made to lower the temperature of the air in the interior of the horn by the placement of a thermoelectric semi-conductor cooling device. Our results were that the horn device worked, significantly lowered the wind dispersal rate and achieved an important objective. However, the thermoelectric cooling solution proved to be highly inefficient unless accompanied by precise wind speeds. Even without the cooling function, this new electric fan still has many distinct advantages over traditional fans such as improved safety, concentrated winds and high expandability. For instance, filters can be integrated to purify air, even an audio speaker can be made into the form of this fan.

在高中物理課程的實驗中，有一個是利用空氣共嗚儀測量聲音在氣體中的速度，因而引發我們對固體、液體中音速的好奇，進而研究測量的方法。

人類為了要了解或描寫自然現象，常採用一種「逼近」的過程來處理問題。比如某位同學使用一尺來量取一線段長幾次，結果產生每次的讀數都不相同，此時產生逼近解的問題。又比如有四支 50 公分左右的尺，每次使用兩支來量取一公尺左右的線段長，亦產生類似的問題。然而這些「逼近」解的可靠性到底如何？我們則用方差來權衡之。

我們從報紙、雜誌及華視“跳動七十二”節目報導中知道，目前許多食品均以硼砂、硼酸做為防腐劑，如果長期攝取，將導致硼的蓄積，便人體引起紅斑、嘔吐、腹瀉、循環系統之破壞、休克、昏迷、腦驚厥等病症，因此引起我們的好奇，硼砂、硼酸真的這麼可怕嗎？

本研究藉由文獻資料及實地探訪，了解目前旗津地區海岸沙灘嚴重流失，政府希望藉由離岸潛堤的工程發揮安定海灘的功能，保護堤後海岸。經過實驗的設計探討，我們發現：沒有設置潛堤的海岸打上岸的波浪明顯比任何一組有設置潛堤的波痕高，沙土侵蝕情況也較為嚴重，由此可見，潛堤確實具有阻擋海浪侵蝕海岸的效果。而不同的潛堤設置條件都具有不同的阻浪效果，研究結果最後發現：設置潛堤較佳的方式是將潛堤設置在不露出水面(剛好在水平面)、離海岸愈近、潛堤間距愈小、與海岸形成某種夾角、增加潛堤的長度及排列成 或 的形狀，都能增加阻擋海浪的成效。但是有些條件消波塊使用的個數太多時，將造成成本過高及景觀的破壞，也是值得評估考量的。

(一)在高中數學課本（東華本自然組第四冊)中我們學到橢圓的定義和作圖。其定義如下：一動點 P ( x , y )到兩定點 F1( c , o ) 、 F2(-c，o)的距離和為一定值，即 PF1+ PF2=2a 。(2a 表橢圓的長軸長)。(二)在數學圈雜誌（第 2 卷第四期）上提到了數學一般化的觀念。繪出 mPF1+ n PF2= k 的圖形，而橢圓即為 m = n 的特殊結果。 m PF1 + n PF2 =k , k > F1, F2，的圖形稱為“笛卡兒蛋形”，繪出如 ZPF1+ 3 PF2= k 之類的圖形，但能像橢圓一樣用方程式表出嗎？(三)將“ m PF1+n PF2 =k ”這一式子化成方程式，發現此乃一二元四次方程式，所求出的解有虛根、增根、減根等現象產生，我們認為此方程式很繫雜，因此就著手尋找一較簡便的方程式來表示。

上自然課的時候，老師和我們一起做了很多有趣的實驗，我們知道了槓桿能省力的道理，而且在我們的身邊，有很多工具是利用槓桿原理做成的。我們又使用槓桿實驗器做平衡試驗，發現槓桿實驗器上，．支點兩邊所掛的砝碼個數不相等也能夠平衡，而且可以有很多不同的掛法。可惜每一組只有一個實驗器，很多同學都沒有機會動手。所以，我們就自己製作槓桿實驗器，效果很好，進一步做了更多的平衡實驗。