問題詳情
19.在△ABC中， 
， 
，若I、G兩點分別為△ABC的內心與重心，則 
＝？
(A) 2
(B) 3
(C) 4
(D) 5 。
參考答案
答案：A
難度：計算中-1
書單：沒有書單，新增
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- 如圖(七)，△ABC為直角三角形，∠B＝90°， ，O為△ABC的內切圓圓心，則 ＝？ (A) 3 (B) (C) (D) 3√2。
- 如圖(六)，梯形ABCD中， 為梯形兩腰中點的連線段， ，則 ＝？ (A) 8 (B) 14 (C) 6 (D) 12 。
- 如圖(五)，△ABC中，若 為∠BAC的角平分線，且 ，則 ＝？ (A) 10 (B) 12 (C) 14 (D) 16 。
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- 等腰△ABC中，∠BAC＝160°， 。若I點為△ABC之內心，則∠AIB＝？(A) 95° (B) 100° (C) 105° (D) 170° 。
- 已知a、b皆為正整數，且b＝a－3，則a2－b2必是下列何者的倍數？(A) 3 (B) 5 (C) 7 (D) 9 。
- 已知正三角形ABC的內心到三頂點的距離和為60，則△ABC的面積為何？(A) 100√3 (B) 200√3 (C) 300√3 (D) 400√3 。
- 下列何者必在三角形的內部？(A) 外心與重心 (B) 內心與外心 (C) 內心與重心 (D) 只有內心 。
- 如圖(四)，圓O中有多個三角形，則O點不是下列哪一個三角形的外心？ (A) △ABE (B) △ACF (C) △ABD (D) △ADE。
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