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单选题 函数在点处有定义,是在该点处连续的( )

A. 充要条件

B. 充分条件

C. 必要条件

D. 无关的条件

高等数学课程封面

学科：高等数学

时间：2025-05-08 00:00:38

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题目1
单选题
如果函数<img src="https://tihai-oss-cloud.itihey.com/img/9e83a3ff5b49fdf33925db37edf90f8c.png">的定义域是<img src="https://tihai-oss-cloud.itihey.com/img/777e9453a99435ad53311c96956f6198.png">,则<img src="https://tihai-oss-cloud.itihey.com/img/6f1641b2eec96fef9dfd67019bf0d21d.png">的定义域是( )
A. <img src="https://tihai-oss-cloud.itihey.com/img/7441e010b791be69cf1a5f68dd07f5c8.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/dd111f2f070eccdb9ccdaa5b652d258d.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/ed42612d4b27d0de7893674aea5921b3.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/f3ed3b391f14cdb66e4b1d1363f64b81.png">
题目2
单选题
如果函数<img src="https://tihai-oss-cloud.itihey.com/img/9e83a3ff5b49fdf33925db37edf90f8c.png">的定义域是<img src="https://tihai-oss-cloud.itihey.com/img/8659127f48d41e37987d8ea6b12f0cf9.png">,则<img src="https://tihai-oss-cloud.itihey.com/img/5132bd34a66a6fe3a340a1ebf5421523.png">的定义域是( )
A. <img src="https://tihai-oss-cloud.itihey.com/img/b1f8fda0a7813fb35304a0f9bf011819.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/bc8e5928e885fd37372e4803a3b5e055.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/0ff29a4a657796096b593142818f5c33.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/8727591c848f705b80b0b35adbe11b41.png">
题目3
单选题
如果<img src="https://tihai-oss-cloud.itihey.com/img/9e83a3ff5b49fdf33925db37edf90f8c.png">的定义域是[0,1],则<img src="https://tihai-oss-cloud.itihey.com/img/86199b444f70dbb74df38c31c2c0a980.png">的定义域是( )
A. <img src="https://tihai-oss-cloud.itihey.com/img/55a8ff8cc710129fcfc0ad48706fb414.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/12f559a6e7627d54c4835f1c8ddfb922.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/588daf5c1901adc17ab90c120ffc6e04.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/72d33519f8184fe06da1737344beb700.png">
题目4
单选题
当<img src="https://tihai-oss-cloud.itihey.com/img/095ad1da53a41d738450e2084efa301d.png">时,下列变量中是无穷小量的有( )
A. <img src="https://tihai-oss-cloud.itihey.com/img/a6cb97de7b94033e2ebf065d8fde215c.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/1e8c241f61fd44f2bb92323b1b90aad0.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/ae00fe0bd70bb20bf94316cfd3e9438e.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/65d1fb63478598554995cecf259c246e.png">
题目5
单选题
下列变量在给定的变化过程中是无穷大量的有( )
A. <img src="https://tihai-oss-cloud.itihey.com/img/c9482921df89f0b3788ba1df8482a8a3.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/dc06b3eff3e2d50daae6009831c96ad1.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/c1cb6b87a8989c23546e83fb0bf85928.png"><img src="https://tihai-oss-cloud.itihey.com/img/1a57716182055f9f25c248cbe4d34e85.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/b5c928a51468ce31eafa0e8871b315fd.png">
题目6
单选题
如果<img src="https://tihai-oss-cloud.itihey.com/img/185c19b33b5590c05f5c22c62e78ca06.png">,<img src="https://tihai-oss-cloud.itihey.com/img/b27e101b5f21165d6bad59e8bfe8a78d.png"> ,则必有( )
A. <img src="https://tihai-oss-cloud.itihey.com/img/e5bf9391410ba3b35c27e44b1dbc4473.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/dfc8d71f7d66390d1c12b1e9b0fdf98f.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/83bfcee063ef9f125c80dc31fda73dfa.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/54fc578c7ef917a8e5ec6857e7364bbe.png">(k为非零常数)
题目7
单选题
<img src="https://tihai-oss-cloud.itihey.com/img/2006dd5f0be39f9d1e66c364ee183e7b.png">( )
A. 1B. 2C. 0D. <img src="https://tihai-oss-cloud.itihey.com/img/139bf4ef972f36702bfbf5b9b58342be.png">
题目8
单选题
下列等式中成立的是( )
A. <img src="https://tihai-oss-cloud.itihey.com/img/d1abe5fb52cb45b72a1dffb796faf2e5.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/661fddbc812bcf6a3d92de7fca4f2949.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/87317f235c3668d3778fa2660004e3e4.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/11fa5709766d61de402294fc665c2cde.png">
题目9
单选题
当<img src="https://tihai-oss-cloud.itihey.com/img/095ad1da53a41d738450e2084efa301d.png">时,<img src="https://tihai-oss-cloud.itihey.com/img/1f668aeaefc4b56d990430a713ad6f93.png">与<img src="https://tihai-oss-cloud.itihey.com/img/817c0343048ffa359d3a6b7b766a73c9.png">相比较( )
A. 是低阶无穷小量B. 是同阶无穷小量C. 是等阶无穷小量D. 是高阶无穷小量
题目10
单选题
函数<img src="https://tihai-oss-cloud.itihey.com/img/0f2f192f1726ab810365d2845d6a73e1.png">在点<img src="https://tihai-oss-cloud.itihey.com/img/a4836ebc3c8a5438576deba1dcb594e1.png">处有定义,是<img src="https://tihai-oss-cloud.itihey.com/img/0f2f192f1726ab810365d2845d6a73e1.png">在该点处连续的( )
A. 充要条件B. 充分条件C. 必要条件D. 无关的条件
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