TYMO1001A.pdf - 桃園縣 100...

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1 桃園縣 100 學年度國中數學能力競賽初賽試題 測驗說明: 1. 請將答案填在答案卡上。 2. 每題皆為四選一的單選題,共 20 題;每題答對得 5 分,答錯倒扣題分之四分之一。 1. 如右圖, ABC 的面積為 5 ,且 1 1 2 2 3 3 4 4 BD D D D D D D D C 則圖中共有 a 個三角形 ( 包含 ABC 在內 ) ,且這 a 個三角形 的面積總和為 b ,試問下列何者正確 ? (1)a=6 b=10 (2)a=14 b=30 (3)a=15 b=35 (4)a=15 b=55 2. 1000 9999 之間有多少個四位數,其各位數字互不相同,且首尾兩個數字之差為 2 ? (1)784 (2)840 (3)896 (4)1008 3. 下圖左是一個三角柱紙盒,試問下列選項何者最有可能是紙盒的展開圖 ? (1) (2) (3) (4) 4. ABC 為直角三角形, BAC =90 o 8 AB 6 AC D BC 中點,若 G 1 ABD 的重 心, G 2 ACD 的重心,則 1 2 GG 長為何 ? (1) 5 2 (2) 10 3 (3) 5 4 (4) 5 3 A B C D 1 D 2 D 3 D 4
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2 5. 函數 ( ) 2 1 3 2 3 f x x x x 的最小值為何 ?
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