3、求 x ⁴⁰ 除以 (x ² + 1)(x + 1) ² 的餘式 = ? (7 分)

1. 題目:如果可以重來提示:(1)如果可以重來,你最想改變什麼?是那個說不出口的再見,還是那次錯過的機會?人生無法倒帶,但每個「如果」都藏著對未來的期許。別讓懊悔成為包袱,而是把它化為羅盤,指引你更清晰地前行。現在就是你「重來」的機會,請勇敢地為此刻的自己,做出無悔的選擇。(2)文體不限,記敘、抒情、說明或議論皆可,字數不少於300字,內容至少三段。

三、英文作文：  On January 15, 2009, US Airways Flight 1549 lost both engines after a bird strike. Air traffic control suggested returning to LaGuardia or going to another airport, but Captain Sullenberger judged these options unsafe. He made the decision to land on the Hudson River, successfully saving all 155 people on board. The National Transportation Safety Board later investigated whether his choice was appropriate. Write a 250-word essay analyzing Captain Sullenberger’s leadership and judgment during this crisis. In your opinion, during emergencies, is it better to follow the established authority or rely on your own judgment? Support your view with specific examples. 

The global fashion industry is constantly changing. Many brands are now focusing on their production processes to make them more sustainable. This shift is due to growing from consumers who are more aware of environmental issues. Companies are beginning to understand that they need to their environmental footprint while still providing high-quality products. As a result, some companies are eco-friendly materials and ethical labor practices to remain competitive. The challenge, however, lies in the balance between sustainability and profitability.

In recent years, teenagers' consuming habits have undergone a significant transformation, largely driven by the rise of digital media and social networks. Teenagers today ˍˍˍ more purchasing power and influence than ever before, making them a key demographic for marketers. However, their buying preferences are often ˍˍˍ by trends and peer influence, rather than traditional advertising methods. Social media platforms, in particular, play a crucial role in shaping their consumption patterns, as teens are more likely to products endorsed by influencers they follow. Moreover, the growing concern for environmental sustainability is becoming ˍˍˍ among younger consumers, who are increasingly opting for eco-friendly brands. Therefore, companies targeting teenagers must adapt their strategies to reflect not only the digital landscape but also the ˍˍˍ values that drive this generation’s choices.

⑵乙欲儘速製造鼻病毒治療藥物以供應全臺需求，有無機制使乙能實施 A 及 B 專利權？若有此機制，要件、程序及效果之重點為何？（10 分）

十、請簡要說明下列沉積岩之原生沉積構造 (一)層理(Bedding)與葉理(Lamination)(2分) (二)交錯層(Crossbedding)(2分) (三)波痕(Ripplemarks)(2分) (四)分級層(Gradedbedding)(2分) (五)底痕(Solemarks)(2分)

九、請說明白雲岩形成的可能方式與分佈特性並比較白雲岩與方解石在成份、密度、體之差異。(10分)

八、在成熟岛弧地的火成岩依化學性質可分成三大類,请寫出這三類岩系名稱、主要成分及其在岛弧與大陸邊緣分佈特性。(10分)

七、石英、瑪腦、玉髓、蛋白石(Opal)、石英等均為自然界存在的氧化矽礦物,請簡單敘述其差異。(各2分)

六、請簡遠輝石與角閃石在顏色、條痕、解理、矽酸塩分類及共有氧離子数的異同。(各2分)

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