《2025年快乐过暑假江苏凤凰科学技术出版社七年级提优版》

4. 若$x$,$y$均为正数,$43^{x}= 2021$,$47^{y}= 2021$,则$xy与x+y$之间的数量关系为$ xy = x + y $.

答案： 4. $ xy = x + y $

5. (1)已知$3× 9^{m}× 27^{m}= 9^{8}$,求$m$的值；3
(2)已知$2x+5y+4= 0$,求$4^{x}× 32^{y}$的值.$\frac{1}{16}$

答案： 5.
(1) $ \because 3 × 9 ^ { m } × 27 ^ { m } = 9 ^ { 8 } $，
$ \therefore 3 × 3 ^ { 2 m } × 3 ^ { 3 m } = 3 ^ { 16 } $，即 $ 3 ^ { 1 + 5 m } = 3 ^ { 16 } $，
$ \therefore 1 + 5 m = 16 $，解得 $ m = 3 $。
(2) $ \because 2 x + 5 y + 4 = 0 $，$ \therefore 2 x + 5 y = - 4 $，
$ \therefore 4 ^ { x } × 32 ^ { y } = 2 ^ { 2 x } × 2 ^ { 5 y } = 2 ^ { 2 x + 5 y } = 2 ^ { - 4 } = \frac { 1 } { 16 } $。

The Chongyang Festival is a Chinese traditional festival. It's celebrated on the 1 (ninth) day of the ninth lunar month. That is 2 (why) it is called the Double Ninth Festival too.
The festival started as 3 (early) as the Warring States Period (475—221 BC). It has a history of more than 2,200 years. Among the numbers from zero to nine, nine is the 4 (highest) odd number(奇数). People 5 (believe) that two "nines" meeting together stand for a long life. So it is a special holiday for Chinese people to show love and respect for their elders. They hold many kinds of activities 6 (in) honour of old people, wishing them good health and a long life.
The festival comes during the golden 7 (time) in autumn. On the day, people traditionally 8 (drink) chrysanthemum(菊花) wine, eat Double-Ninth Cakes and climb mountains. They also carry a kind of plant 9 (named) dogwood (山茱萸). People in ancient (古代的) times believed that this plant could drive away bad luck and stop them 10 (from) catching the illness in winter.
1.
2.
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答案： 1. ninth 2. why 3. early 4. highest
5. believe 6. in 7. time 8. drink 9. named
10. from

书面表达
百节年为首,四季春当先。春节是中华民族最隆重的传统佳节。为了弘扬中华传统文化,学校英文俱乐部正在开展主题为"我的中国年"的征文活动。假如你是李华,请用英语写一篇 90 词左右的文章投稿,介绍春节在什么时候、你和家人通常会做什么来庆祝春节以及你的感受。
提示词语:sweep away, have a family dinner, lucky money, happy
提示:1. When is the Spring Festival?
2. What do your family usually do to celebrate it?
3. How do you feel?
The Spring Festival is important in China.

答案： One possible version:
The Spring Festival is important in China. It comes on the first day of Chinese lunar calendar and lasts for fifteen days. We usually do many things to celebrate it. Before the Spring Festival, we clean the house to sweep away bad luck. On the Chinese New Year's Eve, we get together and have a big family dinner. I like eating jiaozi—a kind of dumplings. After the dinner, we usually watch the Spring Festival Gala on TV. On the first day of the new year, we often wear new clothes and visit my uncles and aunts. I feel very happy because I can play with my friends and I can get many red packets from my family.