5. 如右圖，圓 A,B,C,D,E,F 都是半徑為 1 的圓，且相鄰的兩圓 皆相切，若 P 是圓 A 上的動點，Q 是圓 F 上的動點，求 長度的最大值是 _______。

6. 數字都是"1"的數列 1,11,111,1111,----(第 k 項是 k 個 1)-----，設此數列前 100 項的和是 S，求 S 的末 10 位數的數字是 _______。 (例如：12345678 的末 6 位數的數字是"345678")

7. 設函數 ，其中 0°<x<90°，則 f(x)的最小值是 __________。

8. 有 10 張椅子排成一列，甲、乙、丙、丁、戊 5 人分成三組入座，三組人數分別為 1 人、2 人、 2 人，求同組相鄰，不同組不相鄰之坐法有 ______種。

9. ΔOAB 中，若 ˙ = x，   ˙ = y， ˙ = z，試以 x,y,z 來表示ΔOAB 的面積 為 _________。

10. 設 A(0, 0, 6)，B(0, 0, 20)為空間中的兩個定點，P(x, y ,0)為一個動點，若 0≤ x ≤15，0 ≤ y ≤15， ∠APB ≥ 30°，求 P 點之軌跡所成之圖形的面積 __________。

11. 如下圖一，將三個邊長為 12 的正方形紙片，分別取其中相鄰兩邊中點的連線切成一個等腰直角 三角形和一個五邊形。如下圖二，將這 3 個等腰直角三角形、3 個五邊形和 1 個邊長為的正 六邊形，沿著粗線向上折成一角錐多面體，求此角錐多面體的體積是____________。 (紙片厚度忽略不計)

V. Essay Writing Please write a well-organized essay in 200-250 words to discuss and give your opinion. Should education be free for everyone? Explain.

VI. 非選擇題 20% (每題 10 分) 1. Summarize the following article into 150-200 words. Abortion is about a child, not a choice By Dr. Grazie Pozo Christie I’m a practicing radiologist, and one of my favorite things to do at work is fetal ultrasound. The miracle of peeking into that intimate space and then looking up to catch the awe in the parents’ faces never makes me weary. But a couple of months ago, I got the call that all physicians would shrink from receiving. A fellow doctor called me, saying bluntly, “You missed something!” Taken aback, I asked him what I had overlooked. The ob-gyn continued, “I delivered a baby girl yesterday with a cleft lip and palate. You did not mention it in your report, and now the parents are extremely upset.” I quickly reviewed the images and explained that the defect was not apparent. I also added hopefully that cleft repairs were easy and that I was sure the parents would soon feel better when they saw the excellent work done by the plastic surgeon. “You don’t understand,” he said. “The parents told me they would have aborted the baby if they had known about this beforehand. Radiologists cannot be too careful when inspecting ultrasound images. So, call your lawyer. I’ve already called mine.” I know many people hearing this story don’t believe this kind of thing could happen, because such defect is not at all uncommon. When people hear the term “prenatal diagnosis,” they imagine a team of doctors standing by the delivery room, waiting to whisk the newborn baby with a heart defect to the operating room. They even imagine a miraculous operation performed on the baby before birth, with the baby tucked safely away inside its mother, to be born perfect later. These things certainly do happen, but they are the exception. The more common outcome is abortion. With deep commitment to human life, I find it very difficult to make such diagnoses, knowing in many cases it is a death sentence. In fetal ultrasound, we look for signs of Down syndrome. When I see any sign of this on an ultrasound, I often weep because I have just seen a little person making the same cute gestures that all the other babies make. However, the parents, during their lowest moments of shock and fear, will be told unemotionally that this problem has a solution, a surgical one, and that they can probably expect another baby soon. They will probably not get a referral to a support group for parents of children with Down syndrome, where they might hear of the special delight these loving people bring to their families. You see, now a child is a “choice.” And when one is choosing something to add value to one’s life, who would choose something that is already broken? Who would choose disability or illness, when one is looking only for giggles and joy? These are the naturally occurring roads that lead to a culture where the conversation I had with the ob-gyn is not only possible but commonplace. Having soundly rejected eugenics as it was notoriously practiced in the twentieth century, we are doing our own soft eugenics before birth, singling out the “damaged” humans. We couch our decisions in gentler terms. We say that some lives are not worth living, especially lives that will be full of pain and suffering. We claim to end those lives out of pure compassion, because in our wisdom, we believe we can judge for another human being exactly the point at which suffering outweighs all the happiness of life. Yet, we forget to ask ourselves why it is acceptable to end the life of an unborn baby with a disability, when no one would be pardoned for ending the life of a 5-year-old who suddenly acquired the same illness. The thinking of a child as a “choice” is terrifying. It causes a culture to treat damaged or vulnerable persons as disposable. That way of thinking will extend its reach to the elderly and the terminally ill. I may get a letter soon, telling me I’ve been named in a lawsuit regarding that baby. If I do, I may have to pay some compensation. It will hurt, of course. But in this case I will consider the money well spent, because our failure to diagnose the defect resulted in the birth of a lovely little girl. One day, her parents will thank God that this minor defect went undetected, and that their angel is safe in their arms. —Adapted from “Abortion Is About a Child, Not a Choice.”

2. 請依照 108 學年度實施之十二年國民基本教育「英語文課綱」, 將下列文章出一份「混合題型」 的試題, 共出三題,每題題目後, 必須附上答案。 ………………………………………………………………………………………. (學生試題說明)作答說明：第1至3題為題組，請根據文章之文意選出或寫出一個最適當的答案，請 畫記或填寫在答題卷之作答區。 (學生試題說明)第 1 至 3 題為題組 How Much Coffee Can I Safely Drink? Health experts share how much coffee is safe to drink and how to find your limit based on several factors, including health. When it comes to coffee, there tends to be two types of drinkers. There are those who get jittery after drinking half a cup and those who can drink an entire pot and still fall asleep at night. Chances are if you identify with the latter, you’ve probably thought about whether this is a healthy habit. It’s easier to gauge if you’re having one too many cups if you feel its adverse effects. But what if you don’t? How can you tell if you’re drinking too much coffee? According to the U.S. Department of Agriculture’s (USDA) Dietary Guidelines, most people probably shouldn’t drink an entire pot of coffee a day. “For the majority of healthy adults, consumption of up to 400 milligrams (mg) of caffeine a day appears to be safe,” says Lana Nasrallah, MPH, RD, LDN, clinical dietitian at UNC Health in Chapel Hill, North Carolina. “To put that in perspective, 4 to 5 cups of brewed coffee has just about 400 mg of caffeine.” FYI, that’s 8-ounce servings, and chances are you’re drinking 12 or 16 ounces at a time if you’re buying from your local coffee shop. Therefore, you would reach that limit much quicker. As it turns out, though, exactly how many cups of coffee you can safely drink depends on a few things. This includes how sensitive you are to caffeine, whether or not you have any health conditions that don’t mix well with the stimulant, and how your coffee is brewed. Caffeine sensitivity “There is wide variation in how sensitive people are to the effects of caffeine,” says Nasrallah. For some people, even one cup of regular coffee a day can cause uncomfortable effects like restlessness, jitteriness, nervousness, and sleep interruptions. On the other side of the spectrum, some people may tolerate well over the recommended limit, feeling no adverse effects, says Mary M. Sweeney, MS, PhD, assistant professor in the Behavioral Pharmacology Research Unit of the Department of Psychiatry and Behavioral Sciences at Johns Hopkins School of Medicine in Baltimore. “There are many factors that may contribute to individual differences in caffeine response,” Sweeney adds. “For example, people may have genetic differences that result in variations in the liver enzyme systems responsible for metabolizing, or breaking down, caffeine in the body. As a result, caffeine may be metabolized more quickly by some people than others, meaning it has less of a chance to linger in the body and cause pharmacological effects.” 1. 2. 3.

1.請簡介南社社團主幹、重要活動、其與前後期南台地方詩社之傳承關係；並說明該社與日據時期併稱三大詩社之櫟社與瀛社，分布地點及特點差異。

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