1.一年中有五個星期一的月份最多有幾個？
想請問除了大致條列排個月曆表外，還有沒有比較快的方法。
2.如圖，邊長a的正三角形ABC中，D是AB的中點。
作一圓通過B、D兩點且與AC相切於E點，請問三角形ABE的面積為何？
http://imgur.com/DBeeNAe
3.如圖，O是三角形ABC外接圓的圓心，D是直線BO與AC的交點。
已知三角形ABC中，角A=75度，角C=60度，外接圓的半徑為5，
則線段BD的長度為何？
http://imgur.com/JbgURr9
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