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单选题函数,在点处( )

A. 连续

B. 极限存在

C. 有定义

D. 为间断点

高等数学课程封面

学科：高等数学

时间：2025-12-02 02:51:33

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函数<img src="https://tihai-oss-cloud.itihey.com/img/37765579cd57d4ed67ac97ca4cee38bd.png">的定义域是()

A. <img src="https://tihai-oss-cloud.itihey.com/img/655bae0bc4766f6358a7846af93207a9.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/d5ce0dd85c03e935dda885b6bb867c4b.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/4485a5f2cba3e4e9e33e461fcb622ecd.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/608ce7a586694f00e81b9a95d3362122.png">

设<img src="https://tihai-oss-cloud.itihey.com/img/12bf6f4ec642a030f08bebd1b6ba992c.png">,<img src="https://tihai-oss-cloud.itihey.com/img/6f22df50c5273ad44dce01676e605ffc.png">,则<img src="https://tihai-oss-cloud.itihey.com/img/b525d00b88c5577e1c72bbaa95d8749e.png">( )

A. <img src="https://tihai-oss-cloud.itihey.com/img/78d11f6fe011a434ffc659a272e2cebb.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/9f6cefead0b48d8e0ed4b92df80b755b.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/7b2601a1010506bfa28df4c741bfec5c.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/8ea4a4d35bd8e632c5350021f8ff6764.png">

函数<img src="https://tihai-oss-cloud.itihey.com/img/deae5f94fa659d6b2f6e243085338b1c.png">的反函数是( )

A. <img src="https://tihai-oss-cloud.itihey.com/img/6dbdea80033a409ac097561b76d58da8.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/3fef9a8ed6ed2623204d1bb9786e03a7.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/51c3f1ee185f843f654e9677d0f29f89.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/1908226de61b91b8c1030cd0a5a95488.png">

下列各函数中,是复合函数的是( )

A. <img src="https://tihai-oss-cloud.itihey.com/img/2c3a14148173444bbd9357a4c0d6a678.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/7d51fedbdd4eed2bf0ca196ae2441291.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/c6f2ce555ec70e76071a4f057509fb5b.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/2391653b20e45284a071ccce142c4d8c.png">

复合函数<img src="https://tihai-oss-cloud.itihey.com/img/c1152cf82e345fb012826f860db23ae4.png">可分解为()

A. <img src="https://tihai-oss-cloud.itihey.com/img/22e0b34d627fec7941d51ac713d25f47.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/91787f9881fc84982b71377f4ddb21fd.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/b7fe81d1292d61643e0b32809cb2a806.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/f0f2a4a8e4b37666ad80dd8caa5059f0.png">

设分段函数<img src="https://tihai-oss-cloud.itihey.com/img/78d1a5daea123bd72e600abd7c7ff927.png">,下列结论正确的是()

A. <img src="https://tihai-oss-cloud.itihey.com/img/0c9b2e7c699fe37d05c547570cbbb3bc.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/48951f00559bf93fd93bfcdd77a9a420.png">不存在C. <img src="https://tihai-oss-cloud.itihey.com/img/8ac7c623c899bd1068817c0802213db3.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/fc3944e4481a5eb1171ca26e845c4996.png">

若<img src="https://tihai-oss-cloud.itihey.com/img/376a95bb17be4cad7bcc826c30d55cab.png">,则<img src="https://tihai-oss-cloud.itihey.com/img/deee1680bc28593f83351667de34aca2.png">的值为( )

A. 1B. 2C. 4D. <img src="https://tihai-oss-cloud.itihey.com/img/376a62636cded1c6752c81aa8603436c.png">

极限<img src="https://tihai-oss-cloud.itihey.com/img/57acefaae114f7b416c155cd9ea9c295.png">的值为()

A. 1B. <img src="https://tihai-oss-cloud.itihey.com/img/497c117d804419bab77178ccdd9045a1.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/e6d4dd440941777a700afc4a8f9bd0c4.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/100d4b7045e99f6bb94589ba254d299d.png">

如果<img src="https://tihai-oss-cloud.itihey.com/img/002e560d4fd1460eb02a66ec277616b2.png">,则<img src="https://tihai-oss-cloud.itihey.com/img/eb814780af2f12ac64c36a7d27db6cb4.png">的取值为( )

A. <img src="https://tihai-oss-cloud.itihey.com/img/f886e5c2ef81a7871dafc5bf34bd437e.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/293f9d57b83047b61fd4725f3bc7b0f6.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/865ec3fb20aa8ca74f65e35a5d6ab9e1.png">D. 6

函数<img src="https://tihai-oss-cloud.itihey.com/img/467644905accbdd30061f80c9425fba3.png">,在点<img src="https://tihai-oss-cloud.itihey.com/img/61f7df4de89282aaba55b4eff8781727.png">处( )

A. 连续B. 极限存在C. 有定义D. 为间断点

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