填空题已知凹曲线y＝f(χ)在曲线上任意一点(χ，f(χ))处的曲率为K＝，且f(0)＝0，f′(0)＝0，则f(χ)＝________。

填空题{{B}}Direction:{{/B}} Fill in each of the following blanks with ONE word to complete the meaning of the passage. Write your answer on Answer Sheet II. A child who has once been pleased with tale likes, as a rule, to have it retold in identically the same words, but this should not led parents to treat printed fairy stories as sacred texts. It is always much better to tell a story than read it {{U}} {{U}} 1 {{/U}} {{/U}}of a book, and, if a parent can produce {{U}} {{U}} 2 {{/U}} {{/U}}in the actual circumstances of the time and the individual child, is an improvement on the printed text, so much the better. A charge made against fairy tales is that they harm the child by frightening him or arousing his sadistic impulses. To prove the {{U}} {{U}} 3 {{/U}} {{/U}}, one would have to show in a controlled experiment that children who have read fairy stories were more often guilty of cruelty than those who had not. Aggressive, destructive, sadistic impulses every child has and, {{U}} {{U}} 4 {{/U}} {{/U}}the whole, their symbolic verbal discharge deems to be rather a safety valve than an incitement to overt action. As to fears, there are, I think, well-authenticated cases of children {{U}} {{U}} 5 {{/U}} {{/U}}dangerously terrified by some fairy story. Often, however, this arises from the child having heard the story once. Familiarity with the story by repetition turns the pain of fear {{U}} {{U}} 6 {{/U}} {{/U}}the pleasure of a fear face and mastered. There are also people who object to fairy stories on the grounds {{U}} {{U}} 7 {{/U}} {{/U}}they are not objectively true, that giants, witches, two-headed dragons, magic carpets, etc, do not exist, and that, instead of indulging, his fantasies {{U}} {{U}} 8 {{/U}} {{/U}}fairy tales, the child should be taught how to adapt to reality by studying history and mechanics. I find such people, I must confess, so unsympathetic and peculiar that I do not know how to argue with them. If their cases {{U}} {{U}} 9 {{/U}} {{/U}}sound there should be full of madmen attempting to fly from New York to Philadelphia on broomstick {{U}} {{U}} 10 {{/U}} {{/U}}covering a telephone with kissed in the belief that it was their enchanted girl- friend. No fairy story ever claimed to be a description of the external world and no such child ever believed that it was.

填空题ycos(1－χ)2dχ＝________．

填空题∫max{x+2，x 2 }dx=_________．

填空题设n(n≥3)阶方阵的秩为n-1，则a=________．

填空题任意3维向量都可用α 1 =(1，0，1) T ，α 2 =(1，－2，3) T ，α 3 =(a，1，2) T 线性表出，则a=_______．

填空题设f(x)==________．

填空题函数z=f(1nx+)，其中函数f(u)可微，则=______．

填空题设f(x)=∫ 0 x e cost dt，求∫ 0 π f(x)cosxdx=________．

填空题f(x)=在x=-1处的泰勒展开式为________。

填空题与α 1 ＝(1，－1，0，2) T ，α 2 ＝(2，3，1，1) T ，α 3 ＝(0，0，1，2) T 都正交的单位向量是_______．