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问题 解答题
已知f（x）=
1
x(x+1)
，则f（1）=
1
1×(1+1)
=
1
1×2
   f（2）=
1
2×(2+1)
=
1
2×3
…，已知f（1）+f（2）+f（3）+…+f（n）=
14
15
，求n的值．
答案

∵f（x）=

1
x(x+1)
=
1
x
-
1
x+1
，

∴f（1）+f（2）+f（3）+…+f（n）=1-

1
2
+
1
2
-
1
3
+
1
3
-
1
4
+…+
1
n
-
1
n+1
=1-
1
n+1
，

∵f（1）+f（2）+f（3）+…+f（n）=

14
15
，

∴1-

1
n+1
=
14
15
，

解得n=14．

单项选择题

Our ape-men forefathers had no obvious natural weapons in the struggle for (1) in the open. They had neither the powerful teeth nor the p claws of the big cats. They could not (2) with the bear, whose strength, speed and claws (3) an impressive " small fire" weaponry. They could not even defend themselves (4) running swiftly like the horses, zebras or small animals. If the ape-men had attempted to compete on those terms in the open, they would have been (5) to failure and extinction. But they were (6) with enormous concealed advantages of a kind not possessed by any of their competitors.

In the search (7) the pickings of the forest, the ape-men had (8) efficient stereoscopic vision and a sense of color that the animals of the grasslands did not (9) . The ability to see clearly at close range permitted the ape-men to study practical problems in a way that lay far (10) the reach of the original inhabitants of the grassland. Good long-distance sight was (11) another matter. Lack of long-distance vision had not been a problem for forest-dwelling apes and monkeys because the (12) the viewpoint, the greater the range of sight-so (13) they had had to do was climb a tree. Out in the open, however, this simple solution was not (14) . Climbing a hill would have helped, but in many places the ground was flat. The ape-men (15) the only possible solution. They reared up as high as possible on their hind limbs and began to walk (16) . This vital change of physical position brought about considerable disadvantages. It was extremely unstable and it meant that the already slow ape-men became (17) still. (18) , they persevered and their bone structure gradually became (19) to the new, unstable position that (20) them the name Homo erectus, upright man.

8（）

A.progressed

B.generated

C.developed

D.advanced
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多项选择题

大承气汤的证治要点是( )

A．数日不见大便

B．脘腹胀满

C．呕吐不止

D．苔黄厚而干或焦黑燥烈

E．脉沉数有力
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