题干

如图,点C,D在线段AB上,△PCD是等边三角形,且△ACP∽△PDB,求∠APB的度数.

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答案(点此获取答案解析)

解:∵△PCD是等边三角形,

∴∠PCD=60°,

∴∠ACP=120°,

∵△ACP∽△PDB,

∴∠APC=∠B,又∠A=∠A,

∴△ACP∽△ABP,

∴∠APB=∠ACP=120°

同类题2

根据短文内容,选择最佳答案。

    In summer, it's common on the street to see many Chinese women holding parasols1 to protect themselves from the sun.  But when Amy, an exchange student in Beijing from the US, first saw this, she found it strange, even impossible to understand.  She wrote on her blog, "Unlike Chinese women, American women like to put on their tank tops and sunglasses during summer. If you walk around an American college campus2, you will probably see girls out on the grassy fields reading, but they really hope to get a head start on their summer tan3."

    This may be caused by the different standards of beauty between the US and China. Many Americans don't want white skin. They would rather be tanned3. Amy also wrote, "Having darker skin is so popular that many women and men will pay for fake4 tans so that they can keep their sun-kissed appearance during the winter months, too."

    Why do they like tanned skin? Michelle Louis reported in her research, "The process of tanning can help make people's skin smooth and hide marks." She further explained, "Tans make people's skin appear healthier and make them appear thinner than when they have pale skin."

    Perhaps there is no real ideal standard of beauty. In different cultures and at different times of history, the standards change. On Amy's blog, she also gave two examples: Some women carried parasols around trying to keep their white skin in the US 150 years ago; During the Tang Dynasty in China, heavy women were thought attractive. But now, Chinese women prefer to be slim.

    In a word, different standards of beauty should be respected. People may grow up with only one idea of what beauty is, but it doesn't mean that it's necessarily the correct or the best idea.

New words:

①parasol n. umbrella used to protect people from the sun 阳伞

②campus n. grounds of school, college or university校园

③tan n. the brown colour of sun-kissed skin 晒成的棕褐

④become brown by the sun 晒成棕褐色,晒黑

⑤fake adj. not real 假的

同类题4

阅读下面材料,根据材料内容完成后面表格,每空填一个单词。

    Sometimes it may seem difficult to improve our health. If so, the following health habits may help you.

    Eat breakfast every morning

    Research(研究) shows that if you eat a meal in the morning, you may not become too fat or eat too much during lunch. Eating breakfast can help people feel better through the day.

    Get enough sleep

    Poor sleep can influence(影响) our memory and learning. It can also cause traffic accidents! Studies show that people who don't get enough sleep seem to get into more accidents. So stay safe and get enough sleep!

    Take a walk every day

    Walking is an easy way of exercising. You'd better meet friends for a walk, not for a meal. As you walk, you will see the beautiful world around you. Once you try, you'll find that adding a walk into your daily life is very easy.

    Join social groups

    Social groups can provide support. They might include sport teams, art or music groups. The people in the group can offer advice and can help each other in difficult times. Also, being in a group keeps your mind busy. And active mind is a healthy mind.

    Have a hobby

    A hobby could be running, reading or making something with your hands. Hobbies help people to relax and rest. Hobbies bring us joy, too.

Title:  Ways to ____ our health

Eat breakfast every

morning

◆Breakfast stops you from eating too much during lunch.

◆It can help you feel better ____ the day.

Get ____ sleep

◆Poor sleep influences your memory and learning.

◆It may ____ traffic accidents

Take a walk every day

◆Walking is an easy way of ____. You'd better meet friends for a walk ____ of a meal.

◆Enjoy the ____ world around you while walking.

Join social groups

◆You can get much support, ____ and help from social groups.

◆Being in a group keeps your____ busy.

Have a hobby

◆Different hobbies can help you relax and rest.

◆Hobbies bring us joy ____ well.