全國中小學科展

臺灣

上樑不正下樑歪-脊椎側彎的探討

台灣大多數學校並無全面性脊椎側彎篩檢與追蹤的健康服務,因此學生脊椎側彎的問題都不易被發現。本研究的目的希望藉由長期的追蹤與鼓勵學生進行治療,以降低脊椎側彎的盛行率與側彎角度。台灣地區學齡兒童脊椎側彎的盛行率大約是3-3.5%,而本校脊椎側彎的盛行率大約在1%左右,而且女生明顯多於男生。根據篩檢發現本校脊椎側彎較易發生在BMI(Body Mass Index)值較低的學童身上,也就是說,瘦型體格罹患脊椎側彎的機會較高。脊椎側彎可以藉由簡單的目測及儀器測量實施篩檢,並配合醫師復健運動,可達預防與治療之效果。本校實施兩年即約有60%的成效。因此建議將脊椎側彎納入學校健康檢查的項目之一(包含國小五、六年級與國中階段)。 ;The scoliosis of school children cannot be discovered easily because the overall scoliosis screening and tracing are not provided in most schools in Taiwan. The main purpose of this study is to reduce the prevalence rate and the angle of scoliosis by proceeding scoliosis screening continuously, and encouraging the patients to take physical treatment at the same time. Compared with the scoliosis prevalence rate in Taiwan(3-3.5%), the rate in our school is about 1%. Furthermore, the girls with scoliosis are outnumber the boys with the disease. This study shows children with low BMI value will have higher probability to acquire scoliosis. In other words, thin children may fall victims of the disease more often. The scoliosis can be examined with some easy methods, such as unaided-eyes measuring or scoliosis detecting. Besides screening, hospital treatment can attain the effects of prevention and cure. For the first two years, the practice of scoliosis screening in our school can improve the disease obviously (about 60%). In conclusion, the study strongly suggests the scoliosis screening can be included into an item of health examination from the fifth graders to the ninth.

「旋」機妙算──不對稱飛行種子建模之研究:以桃花心木種子為例

本研究藉由觀察實體桃花心木種子的飛行狀態,探討實體桃花心木種子的長度、寬度、長寬比以及重心位置,試驗分析種子飛行時間和旋轉圈數。結果顯示:蒐集到的實體桃花心木種子寬2.5公分為眾數、長分布8到11公分、長寬比約4~5。此結果與其他科展研究相符。而實體種子重心位置靠近種子長的1/5,靠近肋寬的1/3處,有較佳飛行時間與旋轉圈數。依此結果,發展紙長公式「 Lpaper= Lseed + a + W*(n+1)/2」作為裁紙參考,建立摺紙種子模型並實驗驗證。結果顯示:最佳的紙模型為寬2.5公分、長8公分(長寬比3.2)、13折,重心在靠近肋寬的1/3處的飛行最好,與實體種子實驗結果相似。

鑽石石墨化及氧化速率之研究

能量環

Quantum Rings are defined to be polygons with sides all of the same unit length that are connected with a fixed positive or negative angle. In the research, the number of Quantum Rings corresponding to a given number of sides and a fixed angle will be discussed. Quantum Rings could be expressed by many sequences which would involve the theory of partitions and ways to eliminate the many to one nature of the sequences in order to evaluate the upper and lower bound. Besides estimating the upper and lower bound, a lot of the qualities of the Quantum Rings under certain circumstances will be mentioned.「能量環」為許多單位長度的線段以定角首尾相接,並且最後接回原點的多邊形。本研究將要探討對於給定邊長個數與相接角度的「能量環」的個數。「能量環」可以被表示成許多種數列的形式。在數列的運算中會牽涉到許多數字分割的理論與排列組合的排除重複以求得能量環個數的上下界。除了定量的求算出上下界以外,報告中也定性的歸納出許多給予特殊條件的能量環的性質。

共鳴管共振頻率誤差探討

於共鳴管實驗中,我們發現管口與聲源間距離會影響管子的共振頻率,距離愈遠、共振頻率愈高,最後趨於一穩定值。本研究探討此現象及相關變因,提出球面波的共振頻率公式,並證明球面波的共振頻率、及共振頻率隨管口與聲源間距離改變而變化的幅度,與管長、管徑及管口與聲源間距離相關。同時,對於狹縫繞射實驗,透過本研究推導之球面波共振頻率公式,可利用實驗測得之共振頻率求得繞射波的假想波源位置。而管子共振時,駐波僅存在於管內,其腹點位置必位於管口附近(受管口修正影響)而非聲源處。因此,進行共鳴管實驗時,不可將音叉擺放位置視為波腹位置。

不要給我好人卡─編號對應的研究

金屬的盔甲

Our aim to attend this science fair is to design an instrument that can plat and measure the mass at the same time. In hope of designing a simple, accurate and convenient apparatus, we created an electronic circuit to display our original idea. In the process of constant improvements, we finally accomplished a “Super Mass Plating Gauge”, which can be easily and widely utilized in school teaching. The production of microbalance and the arrangement of electric circuit are the most significant parts in our research. The major components of the “Super Mass Plating Gauge” include a straw, metal clips and our creativity—the well-arranged electric circuit. The idea of microbalance originated from the Internet, but we advanced it by numerous experiments. First, we attached a steel cord to one side of the cathode in the electricity supplier. Next, we fixed the other side to the negative plate. And then, on the end of the negative plate, we tied a metal clip with the metal that will be plated. Eventually a new “plating gauge” was invented. By doing so, we could use this instrument to make our experiments. Our experimental goal is to research how different kinds of metal, time, electrode and voltage can affect the reduced mass on the cathode. We made use of such metal as copper, zinc and silver to carry out the experiments. In the end, by analyzing the results, we concluded a plating formula that can be applied to metal plating. 我們做此科展的目的,是要設計一個可以邊電鍍、邊測量質量的儀器,我們希望這個儀器是簡便、精確、且線路簡單,並且能推廣到教學的器材。經過我們不斷改良,終於完成了「便利質量電鍍器」 。 其中製作微量天秤和線路的配置方法,是本研究的重要部分。微量天秤的主要結構是吸管、鱷魚夾、及線路。微量天秤的構想,是參考以前的科展作品並加以改良,可精準測量到0.00010g,而裡面的線路,則是我們的創意(如圖一) 。只要把電源供應器的正極,接上左右任一鋼條,負極接到容器另一端,並加上一個鱷魚夾,夾上被鍍物,便是一個可邊電鍍,邊測量質量的儀器了!如此一來,我們就能以此儀器來作我們以下的實驗。 我們實驗目的在探討電鍍時不同金屬、不同時間、電極大小及電壓,對正極金屬片所減少質量的影響。 最後,我們推導出一個有關電鍍時正極金屬片質量變化量的實驗公式。為此,我們也要做許多次、許多種的實驗,來驗證我們的公式是否正確,並以我們所學的理論來推論。

翻開東北角那一頁---和美一帶漸新統貝類化石排列方式和古水流關係之探討

This study tries to reveal how the velocity of flow influents the orientations and scattering patterns of the two-valve shells (we use Pecten in this study) during depositing processes by comparing the laboratory studies with the field observations. We learn from the laboratory experiments that the shells deposit at random directions when they are too crowded and are oriented to a certain direction when they are more scattered. We also find out that the shell fossils whose dorsal sides towards downstream with upward concaves are most likely to move. On the contrary, the shells whose dorsal sides towards upstream with downward concave are the most reluctant to move Examinations of the outcrop of the bedding of Pecten fossils, which are located near Long Dong, the northeastern tip of Taiwan, show that a lot of the shells settled along a certain direction and most of their concaves are upward. However, some of the shells with obvious orientation have downward concaves, which implies the depositional environments were under high current velocity. And the numbers of the shells whose dorsal sides are oriented to Northern East are about equal to those whose dorsal sides are oriented to Southern West. This result coincides with the results of the laboratory study. However, the experimental results can apply to the field analysis under certain assumptions.本研究就影響貝殼排列的水速作試驗,尋找水流和貝殼排列的關係,並和地層中實際的貝類化石做比較,藉以回推古老沉積環境。結果發現大量貝殼集中的情況下,貝殼間彼此的影響力會大於單純的水流沖擊;當貝殼較分散時,可以看出貝殼的頭部皆會一致朝向水流的來向作排列。而最適合移動的型態是凹口向上且頭部不朝水流來向的貝殼,而最穩定的型態是頭部朝水流來向的凹口向下貝殼。觀察實際地層,貝類化石大致上也有方向性的排列且正反面貝殼都有,可以推得當時沉積的水流大,故有足夠的動能讓貝殼重新排列。但由於試驗環境定和自然環境有所差異,仍有限制存在。

Vison-把台北101 玩弄於電腦之中

創意發想:在學習三角函數的三角測量應用時,由於立體感並非十分容易在平面中呈現,使得解題過程並相當困難。我們希望能透過程式,實際模擬出所看到的樣子,將有利於解決這方面的問題。學習美術者也需要了解一點透視的立體概念,皆可以透過程式來模擬。作品特色:我們的精神主要在於以高中的數學及物理為基礎,來研究其中的方法。除了研究3D 繪圖之基本原理,並著重於如何以程式實作,以達到高繪圖效能。預期效果:1. 讓電腦繪出有立體感(近大遠小)的圖形。2. 可以由不同位置及角度觀察物體。3. 讓立體影像具有光及影的效果。“想像您坐了一部直升機從1 樓向上到達頂端,觀看101 大樓有何不同的景象?!”Motive :In learning the technique of triangulation, it is hard to show 3D coordinates on 2D graphics so that this kind of math problems is difficult to solve. We hope that we can simulate the 3D surroundings by programming to provide references in dealing the problems. In addition, painting learners also need the simulation to realize the concept of one-point perspective. Feature :1. We do all the research based on mathematics and physics techniques learned in high school. 2. We not only figure out the method to draw 3D pictures but put some emphasis on how to use programming to run the method. Objective: 1. Let the computer draw 3D pictures, that is, the object looks big when near and small when far. 2. Making it possible to observe the object from different positions and angles. 3. Making the 3D pictures with lighting and shading effect. “Imagine how the sight would change while you are taking a ride on a helicopter from the ground to the top of Taipei 101.”\r

最小積包絡現象

思考公車車門開關時在地面上掃過的區域形狀與面積時,發現其中變動的直線為過定點與座標軸圍成三角形面積最小的直線,我們很好奇,這類圍成最小面積的直線更進一步的包絡現象,所以就動手去嘗試做研究。\r \r The research is done out of the curiosity we had when we pondered over the area and the shape a bus door sweeps on the floor when it opens or closes, and thus to discover the graph of the varying line which forms the smallest area so that we attempt to do research on such envelopment phenomena.