函数f（x）的定义域为（-∞，1）∪（1，+∞），且f（x+1）为奇函数，当x＞1时，f（x）=2x2-12x+16，则直线y=2与函数f（x）图象的所有交点的横坐标之和是（ ）
A．1
B．2
C．4
D．5
f（x+1）为奇函数，函数图象关于（0，0）对称
函数f（x）的图象关于（1，0）对称
当x＞1时，f（x）=2x2-12x+16
当x＜1时，f（x）=-2x2-4x
令2x2-12x+16=2可得x1+x2=6
令-2x2-4x=2可得x3=-1
横坐标之和为5
故选D
| 完型填空。 | ||||
| A professor told his students to go into the city slums (贫民窟) to study the life of 200 boys. He asked them to 1 reports about each boy's life and future. Every one of the students wrote, "He doesn't have any hope." Twenty-five years 2 , another professor read about the earlier study. He told his students to 3 what had happened to the boys. They tried very hard and found that 176 of the boys had become successful 4 doctors, teachers and scientists. The professor was very 5 and decided to study it further. Luckily, all the men were living near the place and he was able to ask each one, "What made you 6 ?" Each one answered, "There was a teacher." The teacher was 7 living there, so the professor found him and ask the old man 8 he had used to pull those boys 9 the slums, and change them into successful people. The teacher's 10 began to shine and said with a sweet smile, "It's really very easy. I loved those boys." | ||||
|
