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101年 - 國立科工實中101年教師甄選國小資訊專長 數學科試題#21199
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題組內容
2. 純小數中的小數部分為 1,3,5,7,9 所構成的五位數字全相異循環節,如
……等,則:
(1)此等循環小數共有幾個?
其他申論題
二、計算題:(請以黑色或藍色筆在答案卷上作答) 需詳列演算過程,否則不計分,每題 10 分,第二題每個答案各五分 1. 有 9 個人排隊抽獎,9 支籤中只有 2 個中獎機會,每支籤被抽中的機會均等,且抽出後 不放回。若小實排在第三位抽獎,求小實中獎的機率。
#20141
(1)此等循環小數共有幾個?
#20142
(2)此等循環小數之總和為何?
#20143
1. 一直圓柱內接於半徑為 1 的球,則當此直圓柱之高為 h 時,直圓柱有最大的體積為 V。試 求滿足上述條件的 h 值與 V 值各為何?
#20144
(2)此等循環小數之總和為何?
#20146
(Translation)1.即使這個作家為童年的痛苦經驗及長期的憂鬱症所苦,他的創作卻呈現出極度的樂觀。事實 上,他寫的每部小說都包含了希望的概念。雖然自稱為悲觀主義者,他還是選擇在書中傳達 積極進取的訊息。他希望這樣他的文學創作能鼓勵讀者們以積極的角度來面對生活中的艱辛 和挑戰。
#20147
(Translation)2.當全世界的影迷知道這個演員喪生於車禍的消息時,都為他的英年早逝感到惋惜。因此當他 的最後一部電影上映時,便造成轟動。很多電影院擠滿人潮,等著看這部充滿飛車追逐畫面 及特殊效果的動作片。此外,他們也對電影中所表達的兄弟情誼及家人之間的羈絆感到感動。
#20148
II、Read the following passage and design three reading-comprehension questions in the form of multiple choices. (15 分) The answer to each question should be provided. People are sometimes praised by being told that they are as smart as a Philadelphia lawyer. Actually, this expression comes from a famous trial early in the eighteen century. During that period, an Englishman, William S. Cosby, was assigned by the British government as the governor of the American colony that contained New York City. Arriving in New York City, he assumed his royal governorship and wanted to make more money. He rules the colony with no regard for the law or the right of the people. In short, he was a tyrant. Among those who opposed Cosby’s rule was John Peter Zenger, who started a newspaper that praised liberty and sharply criticized the governor. Zenger was soon arrested by Cosby and charged with libel. However, Zenger couldn’t find a lawyer to defend him because of the governor’s power. Finally, Andrew Hamilton, an eighty-year-old lawyer from Philadelphia, came to his help. Faced with the jury at the court, Hamilton admitted that Zenger did publish the newspaper, as charged, but the publishing of a newspaper did not make a person guilty of slander. He said that it was the jury’s right to decide whether the alleged libel was, in fact, the truth. “Don’t people have the liberty and the right to oppose dishonesty and tyranny by speaking the truth?” he asked the jury. After a brief discussion, the jury declared that Zenger was innocent. This decision established the principle of freedom of the press in the American colonies. Hamilton was praised as a hero. And this expression, “as smart as a Philadelphia lawyer,” honors this man from Philadelphia who successfully defended the freedom of the press to print the truth
#20149
III、Essay question:(25 分) The “flipped classroom approach” seems to become the mainstream of educational reform. Please elaborate on you viewpoints about this teaching approach and how you would incorporate it into English teaching. Give examples to illustrate your answers
#20150
【已刪除】第一部份:繪畫基礎(造形輪廓及構圖 15分,空間層次 15分,主題創意 10分, 表現技法 10 分,共 50 分 ) 表現主題: 繪製一幅「臺灣水牛與農村景象」之精細寫實繪畫,請參考(附圖)所示藝術家 楊英風創作的水牛造形,搭配自訂農村相關景物為背景,完成一幅單色繪畫作品。 製作規格: 在答案卷第一題欄內,繪製一個寬 210 mm×高 150 mm 之橫式方格,並於方格內繪製。 製作要求: 1. 限以單色技法繪製。 2. 畫面主體之水牛造形應精細繪製,大小不得少於畫面的 2/ 3。 3. 背景須自行搭配表現出「臺灣水牛與農村景象」的相關題材或視覺效果,未處理 背景者,「空間層次」項目不予計分。 4. 整體畫面應力求其質感、量感、層次及整體主題效果。
#20151