上自然課時，老師在教月亮以及太陽這個單元時都用了一個Stellarium模擬軟體，我們發現從這個軟體可以觀察以前我們所無法觀察到的天體，感覺很有趣也很容易了解。藉著本研究主題，我們終於可以一探有關太陽移動軌跡的秘密，而不必透過長期的觀測，更可藉由軟體的功能，進行地球與金星上太陽在空中移動軌跡的實驗研究，讓我們了解到，原來太陽位置的變化是受到了行星自轉軸傾斜角度及其自轉、公轉的方向與速度的影響，並且觀察者所在的觀察地點的不同也會發現太陽有不同的位置變化情形。這次的探究活動，讓我們印證了課本中所學到有關太陽的概念，並相信太陽有可能打從西邊出來，只是，不是發生在地球上。

本研究將探討所合成的金屬硫化物製備於量子點敏化太陽能電池之光電極，並應用於水裂解反應，使之產生氫氣作為新型替代能源。以硝酸鋅、硝酸鎘、氧化硒及硫化鈉作為起始物，利用化學浸泡法(Chemical Bath Deposition, CBD) 於氧化錫參雜氟之導電玻璃(fluorine-doped tin oxide, FTO)表面上，製備不同層數量子點硫化物之光電極。當CBD循環層數為1、5及7時，運用紫外光-可見光吸收光譜儀與掃描式電子顯微鏡分別可觀察到光譜變化，與球狀、團簇狀，以及緞帶狀奈米材料之結構。另外以線性掃瞄伏安法測量光電流，在一個太陽光強度(100 mW cm-2)照射下，當電壓為1.3 V (vs. Hg/Hg2Cl2) 時， TiO2/(CdZnS)4/(CdZnSe)2/ZnS光電極之光電流可達 79.24 mA，可證明經CBD循環製成之量子點電極具有高電催化活性。此外將沉積不同量子點的光電極與硫化鈷反電極結合後製成不同的太陽能電池，在一個太陽光強度照射下測量其光電轉化效率，當使用的光電極為 TiO2/(CdZnS)4/(CdZnSe)2/ZnS 時，可得最大轉化效率η為 2.40 %。更進一步，以此光電極在定電壓下進行水裂解反應，由自製的氫氣收集器收集氫氣，可得其與白金對電極產氫率為 0.98 mmol/hr，以此可確定最佳化的光電極。

車輛遭竊以及酒醉駕車對社會安全造成的危害普遍存在於世界各先進國家。以目前看來，此問題並非嚴刑峻罰就能解決的。若本研究計畫將來普及應用於大眾，必定可以同時減少車輛遭竊之機會和預先防範酒醉者開車駕駛。 生物特徵泛指指紋、虹膜、臉型、聲紋甚至DNA 等等，它的特性即每個人均具有此獨一無二的性徵，加以應用就如同無法被仿造或偷竊的身分證明。若車主能利用自己的生物特徵為車輛上鎖，即可防止車輛遭竊。 視覺密碼學是屬於資訊隱藏技術的一種，藉由兩張以上的影像疊合後呈現其中隱藏之機密資料。雖然視覺密碼學原先純粹是為了加密資料，但我們將之加以修改，設計出複雜且無意義的偽裝影像，使其不易被酒醉後神智不清的人疊合成功而讀出其中的加密資料。 結合生物特徵及視覺密碼學，即可設計出一套可安裝於車上的系統，不僅防止車輛失竊又能防止酒醉駕車事故的發生。 ;The damage which is caused to social security by car stealing and drunk driving universally exist in others developed countries. As things are, these problems can not be solved by severe law. If our project can be applied in the masses extensively, it must be able to prevent both car stealing and drunk driving. Roughly speaking, biological characteristics mean fingerprint, iris, face, pronunciation and DNA. Their uniqueness is a special feature that everyone has. If we can apply it more, the characteristics are identification that can not be imitated or stolen. If the car owner can use his or her biological characteristics to lock the car, the car stealing could be prevented. Visual cryptography belongs to a kind of information hiding. By stacking two or more images, user can recognize the secret information hiding in the stacking. Although visual cryptography is merely created for encryption at first, we modify it and design a complex as well as meaningless stego-image. That makes the unconscious driver who is drunk fail to both stack the images and recognize the secret information hiding inside. We combine biological characteristics with visual cryptography and design a suit of system that is able to install in the car. This system can prevent not only car stealing but also drunk driving.

This work presents fundamental research in the field of algebra and the theory of number. The subject of the work is equations of Markov's type (the type of the equations introduced by me earlier which generalizes the classic equation of Markov (x2+y2+z2=3xyz)) of parabolic type with two unknown quantities and their genealogical trees. The following questions appeared when I was working on the equations of Markov's type and constructing genealogical trees to them: are there any other trees besides one for a certain equation; how to find all the genealogical trees for the equation of Markov's type; how to find all the integer solutions with the help of the genealogical trees. This work is devoted to the analysis of these questions. The aim of the work: to create the method of finding all the integer solutions of the equations of Markov's type of parabolic type. The tasks of the work: 1. Carrying out some experimental works to find all the genealogical trees for a concrete equation. 2. Formulating a hypothesis that the curve has a specific part. 3. Research the parabolic type in order to apply the hypothesis to it. 4. To formulate and prove the theorems about the necessary and sufficient conditions of the existence of the genealogical trees of the integer solutions of equations of Markov's type of parabolic type with two unknown quantities. As the result of the work all the tasks have been solved. I worked the method of finding all the integer solutions: : to find all the integer solutions by means finding all genealogical trees of the equations of Markov's type of parabolic type with two unknown quantities you need : 1. To investigate if there any integer solutions‧ a special part of the parabola (if it is a parabola)‧ a special part of the parallel lines (if it is a pair of the parallel lines) 2. To build a genealogical tree from every solution (if they exist). 3. All the integer solutions will be on the constructed trees. I also worked out a computer program which is based on the usage of this method.

日常生活中所使用的橡皮筋，彈性會愈來愈鬆。我們想了解：有哪些因素會改變橡皮筋的彈性?造成橡皮筋使用壽命的縮短？日常生活中該如何使用橡皮筋來增加它的壽命?經由這次研究我們發現：光照時間、不同光源、不同溶液（汽油、麻油、鹼性溶液）和高溫下都會改變橡皮筋的彈性。它們會使橡皮筋變鬆，但是鹼性溶液會使橡皮筋變緊。如何增加橡皮筋的壽命？是日後研究發展的方向。

當我們知道石蕊試紙遇酸會變紅，遇鹼會變藍的時候，大家都非常驚奇，因為這反應太神奇了。為了想知道是否任何植物的色素對酸鹼都有反應，我們全班同學就展開了以下的實驗。

我們時常在放學途中，看到有人撿拾廢置的塑膠袋，但未明究竟。請叫老師後，知道是因為塑膠製品不受細菌分解，無法腐爛，所以收集回爐重新製造，或者乾脆燒了。

家中廚房的水管堵塞了，我們懷疑是因為使用苦茶粉洗碗造成的，上網搜尋解決方法，原來不少人深受苦茶粉堵塞水管之苦，經過許多測試，我們發現熱的飽和小蘇打水溶液可以有效的分解苦茶粉凝塊。網路資料建議大家用苦茶粉洗滌水來澆花，但是，根據我們的實驗結果，發現苦茶粉水溶液對水生生物及種子發芽會造成嚴重的危害。雖然對陸生植物的生長不會有明顯的影響，但對土中的蚯蚓有很大的殺傷力，因此我們建議不要用苦茶粉水溶液來澆花！為避免苦茶粉堵塞的問題，建議大家不妨利用簡易的自製過濾器將較粗的顆粒濾出，這樣就可以安心的使用這種天然的環保清潔劑囉！我們還發現有特殊香氣的苦茶粉具有除臭的功能，用不完的苦茶粉可以放入冰箱中，有助除臭。

One of the anthropogenic influences on the permafrost landscapes is deforestation and breach of the surface cover at the road constructions. On these areas a development of various cryogenic and postcryogenic processes and features (thermosubsidence, knobs (bilars, baydjarakhs), ravines, small lakes - djyodje) is being observed. Such features can be observed on the territory of Megino- Kangalassky Region, which is situated in the Central Yakutia, as well. During the period from 1998 to 2003 the author carried out monitoring studies of cryogenic features along three roads. Ten areas measuring twenty square metres were put in all. During 6 years of research about 1520 measurements of cryogenic formations parameters were made. Based on the results, it is concluded that elimination of the shadowing effect by trees and removal of the surface cover along the roads have caused thawing of shallow-lying ice wedges, as well as development of various cryogenic processes and features. In this paper, the author presents the basic technologies which are used in road construction in permafrost areas and, based on the research results, proposes a set of measures for rehabilitation of the roadside areas.

本研究的目的在於探討螺旋狀剝皮對植物生存以及芭樂果實的影響。實驗的設計是將選擇的植株或其枝幹分成四組，分別施予環狀剝皮、螺旋狀剝皮一圈、螺旋狀剝皮三圈及不剝皮等處理。 研究結果顯示，螺旋狀剝皮不會導致植株死亡，且於處理部位下方會長出新的枝葉。芭樂果實經100 天的生長之後，不剝皮處理之枝幹長出的芭樂重量都在 300g 以下，而螺旋狀剝皮一圈之枝幹長出的芭樂有重達300-400g(5%)及 400-500g(5%)，最重的達 490g；螺旋狀剝皮三圈之枝幹長出的芭樂也有重達 300-400g(占 7.7%)。此外，與不剝皮處理者比較之，螺旋狀剝皮也有助於高甜度芭樂比例的提升。 本研究成果若能成功應用在其他果樹上，有助於提高果農產收的經濟價值。 The purpose of our study is to examine spiral bark-stripping’s effects on trees, and observe what will happen with this treatment, especially in the survival of trees and fruit of Guava. The experimental design is as below. First, we divided tree samples or branches into 4 groups randomly, and then treated each group differently with girdling, spiral bark-stripping a circle, spiral bark-stripping 3 circles, or non-stripping on the trunks or branches. As a result, spiral bark-stripping did not cause death of trees. Instead, new green leaves grew below treated area. After 100 days of growth, the fruit of Guava treated with non-stripping weighed below 300 grams, while some fruit weighing above 300-400 grams(5%) and 400-500 grams(5%) grew on those trees treated with spiral bark-stripping a circle, with the heaviest of 490 grams. Besides, there are some fruit weighing 300-400 grams(7.7%) growing on those trees treated with piral bark-stripping 3 circles. The result shows that spiral bark-stripping, compared to non-stripping, promoted the proportion of high-sugar fruit. This study provides a possible way to increase the economic value of fruit harvest if applied to other kinds of fruit trees.