题目

如图，在中，，以顶点C为圆心，适当长为半径画弧，分别交，于点E，F，再分别以点E，F为圆心，大于的长为半径画弧，两弧交于点P，作射线交于点D．若，，则的面积是（ ）A.36 B.18 C.15 D.9 答案：【答案】B【解析】作DQ⊥AC，由角平分线的性质知DB=DQ=3，再根据三角形的面积公式计算可得．解：作DQ⊥AC于Q．由作图知CP是∠ACB的平分线，∵∠B=90°，BD=3，∴DB=DQ=3，∵AC=12，∴S△ACD=•AC•DQ=×12×3=18，故选：B．阅读短文，判断正误。Hello. I am Alice. I am eight. I have a dog. His name is Sam. He is brown. He is very lovely. My mother and I like him. But my father doesn't like him. Sam likes eating meat. I like too.（1）Alice has a dog.（2）Alice's mother does not like Sam.（3）Sam is lovely.（4）Alice likes eating meat.（5）Sam is eight.