题干

已知α,β0.π
2
,满足tan(α+β)=4tanβ,则tanα的最大值是(  )

A:14

B:34

C:342

D:32

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答案(点此获取答案解析)

B

同类题1

阅读理解

    Thousands of taxi drivers in Shenyang, Liaoning Province, reportedly blocked streets with their vehicles on Sunday in protest against unlicensed vehicles using taxi-hiring apps(打车软件) and apps-based car rental companies providing passenger services, including high-end cars. Although the drivers also complained about the withdrawal of the fuel subsidy (补贴) by the government, their main complaint was the loss of business because of the rising number of Internet-based car services companies.

    On Wednesday, news reports came that Beijing transport authorities will take measures to stop the illegal “taxi business” of private cars through the newly rising Internet apps, following the footsteps of Shenyang and Nanjing.

It is not yet clear how the Shenyang city government will handle the issue and whether it will declare the services offered by market leaders such as Didi Dache, a taxi-hiring app provider backed by Tencent Holdings, and Kuaidi Dache illegal. But Shanghai transport regulators have set a rule, by banning Didi Zhuanche, or car services offered by Didi Dache in December.

    Such regulations will cause a setback to the car-hiring companies and investors that are waiting to cash in on the potentially booming business. Just last month, Didi Dache got $700 million in funding from global investors, including Singapore state investment company Temasek Holdings, Russian investment company DST Global and Tencent. Besides, the market is uncertain that Kuaidi Dache is about to finalize its latest round of funding after getting $800 million from global investors.

    Regulatory uncertainties, however, could cast a shadow on the future of the Internet-based car-hiring services, which have become popular in most of China's big cities. To be fair, these companies' business model is anything but bad. For example, Didi Zhuanche works side by side with established car rental companies to provide high-end car service mainly for businesspeople through the Internet and mobile phone apps.

    Every link in this business model chain has legal companies and services. Therefore, it is hard to define it as illegal and ban it.

同类题2

阅读下面短文,从短文后各题所给的四个选项(A、B、C和D)中,选出可以填入空白处的最佳选项。

    Number sense is not the ability to count. It is the ability to recognize a 1 in number. Human beings are born with this ability.2, experiments show that many animals are, too. For example, many birds have good number sense. If a nest has four eggs and you remove one, the bird will not3. However, if you remove two, the bird4leaves. This means that the bird knows the5   between two and three.

    Another interesting experiment showed a bird's6number sense. A man was trying to take a photo of a crow(乌鸦)that had a nest in a tower, but the crow always left when she saw him coming. The bird did not7until the man left the tower. The man had an8.He took another man with him to the tower. One man left and the other stayed, but they did not9 the bird. The crow stayed away until the second man left, too. The experiment was10with three men and then with four men. But the crow did not return to the nest until all the men were11.It was not until five men went into the tower and only four left that they were12 able to fool the crow.

    How good is a human's number sense? It's not very good. For example, babies about fourteen months old almost always notice if something is taken away from a 13 group. But when the number goes beyond three or four, the children are14fooled.

    It seems that number sense is something we have in common with many animals in this world, and that our human 15 is not much better than a crow's.