题目

求证：棱柱中过侧棱的对角面的个数是． 答案：证明：（1）当时，四棱柱有个对角面：，命题成立．（2）假设（，）时，命题成立，即符合条件的棱柱的对角面有个．现在考虑时的情形．第条棱与其余和它不相邻的条棱分别增加了1个对角共个，而面变成了对角面．因此对角面的个数变为：，即成立．由（1）和（2）可知，对任何，，命题成立． 阅读表达 　　In the course of working my way through school, I took many jobs I would rather forget．But none of these jobs was as dreadful as my job in an apple plant．The work was hard; the pay was poor; and, most of all, the working conditions were terrible． 　　First of all, the job made huge demands on my strength．For ten hours a night, I took boxes that rolled down a metal track and piled them onto a truck．Each box contained twelve heavy bottles of apple juice．I once figured out that I was lifting an average of twelve tons of apple juice every night． 　　I would not have minded the difficulty of the work so much if the pay had not been so poor．I was paid the lowest wage of that time－two dollars an hour．Because of the low pay, I felt eager to get as much as possible．I usually worked twelve hours a night but did not take home much more than ＄100 a week． 　　But even more than the low pay, what made me unhappy was the working conditions．During work I was limited to two ten-minute breaks and an unpaid half hour for lunch．Most of my time was spent outside loading trucks with those heavy boxes in near-zero-degree temperatures．The steel floors of the trucks were like ice, which made my feet feel like stone．And after the production line shut down at night and most people left, I had to spend two hours alone cleaning the floor． 　　I stayed on the job for five months, all the while hating the difficulty of the work, the poor money, and the conditions under which I worked．By the time I left, I _________． 1．What is the best title of the passage?(Please answer within 10 words．) ____________________ 2．Which sentence in the passage can be replaced by the following one? The worst job among all my jobs was working in an apple plant． ____________________ 3．Please fill in the blank in the last paragraph with proper words or phrases to complete the sentence．(Please answer within 10 words．) ____________________ 4．Which of the conditions do you think is the most terrible? Why?(Please answer within 30 words．) ____________________ 5．Translate the underlined sentence in the third paragraph into Chinese． ____________________