四、 中國戲曲中有雜劇和傳奇，二者有何異同之處？請比較說明之。(25分)

1. Many marine fish species require n-3 highly unsaturated fatty acid (HUFA) as their essential fatty acid. Fatty acids with high degree of un-saturation are more susceptible to attack from oxygen free radicals than saturated fatty acids. This may increase the requirement of anti-oxidative nutrients. Further, fatty acid composition of dietary lipids has been shown to affect the fatty acid profile and lipid per-oxidation activity in bio-membrane of hybrid tilapia. When dietary HUFA increased, the lipid per-oxidation activity also increased. (Translate this paragraph into Chinese). (25%)

2. What kind of research topic would you like to work on if you are admitted to the Department of Aquatic Biosciences at NCYU? (Answer this question in English) (25%)

3. Aquaculture is defined as “The farming of aquatic organisms including fish, mollusks, crustaceans and aquatic plants. Farming implies some sort of intervention in the rearing process to enhance production, such as regular stocking, feeding, protection from predators, etc. Farming also implies individual or corporate ownership of the stock being cultivated.” For statistical purposes, aquatic organisms which are harvested by an individual or corporate body which has owned them throughout their rearing period contribute to aquaculture, while aquatic organisms which are exploited by the public as a common property resource, with or without appropriate licenses, are the harvest of fisheries. (Translate this paragraph into Chinese) (25%)

4. 將下圖用中文呈現。(25%)

求以下一階一次常微分方程式之通解：(25 分) \[ xdy - [y + xy^3(1 + \ln x)]dx = 0 \]其中 \( \ln x \) 為自然對數函數。

2. 求解以下高階線性微分方程：(25 分) \[ y'' - 2y' + y = 4\sinh^2\left(\frac{x}{2}\right) + 4\cos^2 x. \]

3. 求解以下微分方程之初值問題：(25 分) \[ x^2 y'' - xy' + y = x(\ln x) \] 其中 \( y(1) = 0 \) and \( y'(1) = 0 \) 且 \( \ln x \) 為自然對數函數。

4. 求解以下 Sturm-Liouville 邊界值問題之特徵值與特徵函數：(25 分) \[ (xy')' + \frac{\lambda}{x} y = 0, \quad y(1) = y(e) = 0, \quad \text{其中 } e \text{ 為自然指數常數}。 \]

第一題：【中翻英】【35 分】 在公共場所，具備基本的禮貌和公德心十分重要。例如，在捷運或圖書館裡，要保持安靜，不可大聲說 話，以免打擾到別人。同時，垃圾應隨手帶走，不隨意丟棄，保持環境整潔。咳嗽或打噴嚏時應掩住口鼻， 上下車廂時應排隊。看到需要幫助的人，應主動協助。只要大家一起努力，就能讓公共空間變得更舒適、更 有秩序。

第二題：【英翻中】【35 分】 Artificial intelligence is rapidly transforming how people live and work today. While it enhances efficiency and productivity, it has also sparked significant concerns. Recent news reports from China have revealed alarming incidents involving driverless vehicles, such as driving in the wrong direction or continuing to operate despite tire blowouts. These cases have raised serious doubts about the reliability of AI systems. Moreover, excessive reliance on AI may result in intellectual laziness and weaken people’s ability to think independently. Issues related to privacy and data security are also growing increasingly acute.

110年 - 110 國立政治大學_博士班招生考試_ 中國文學系:中國文學史#108429

110年 - 110 國立清華大學碩士班考試入學試題_中國文學系/甲組(中國文學組):中國文學史#105261

110年 - 110 國立中山大學碩士暨碩士專班招生考試_中文系碩士班選考:中國文學史#104249

110年 - 110 國立中央大學_碩士班招生考試_中國文學系：中國文學史#103798

110年 - 110 國立政治大學_碩士班招生考試_中國文學系:中國文學史#102057

110年 - 110元智大學_碩士班招生考試__中國語文學系︰中國文學史#100324

110年 - 110淡江大學_碩士班招生考試_中國文學系︰中國文學史#100296

110年 - 110 國立臺灣大學_碩士班招生考試_中國文學研究所:中國文學史#100016

110年 - 110東吳大學_碩士班招生考試_中國文學系︰中國文學史#100000

109年 - 109 輔仁大學_碩士班招生考試_中國文學系：中國文學史#105494