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填空题当________时,函数是无穷大, 当________时,函数是无穷小

高等数学重修在线课程课程封面

学科：高等数学重修在线课程

时间：2025-11-29 00:52:31

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下列函数不是基本初等函数的是( )

A. <img src="https://tihai-oss-cloud.itihey.com/img/24c00d9ef0804685526e27e51465d9c8.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/544e0aa3ee12e50bf565dfb04cce8b98.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/eff94c2a3b8ee785fece392577e408f1.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/9545f2742061c781203385ed8ee7de83.png">

函数<img src="https://tihai-oss-cloud.itihey.com/img/9e83a3ff5b49fdf33925db37edf90f8c.png">在<img src="https://tihai-oss-cloud.itihey.com/img/d86e18da8cb06a173b4410535744470a.png">处连续的是<img src="https://tihai-oss-cloud.itihey.com/img/b8ab14e132abd3d2e090473523f8dc0a.png">存在的<img src="https://tihai-oss-cloud.itihey.com/img/633a5def043d7400a284c42e3fd1fc57.png">

A. 必要条件B. 充分条件C. 充要条件D. 无关条件

已知<img src="https://tihai-oss-cloud.itihey.com/img/5afe842927bf644aa01626df72959ebd.png">在<img src="https://tihai-oss-cloud.itihey.com/img/33a8e395d15db59e6be01e32fdbcf6ce.png">上连续,在<img src="https://tihai-oss-cloud.itihey.com/img/b178f11ae4f6480b6719374e4a75d06c.png">内可导,且当<img src="https://tihai-oss-cloud.itihey.com/img/fc66c9b71b3503bd334383115c03f550.png">时,有<img src="https://tihai-oss-cloud.itihey.com/img/78a6ea412e98294368a7188e55b20000.png">,又已知<img src="https://tihai-oss-cloud.itihey.com/img/9390e9d06f88f4b2cb2bce1200615db0.png">,则 ( )

A. <img src="https://tihai-oss-cloud.itihey.com/img/5afe842927bf644aa01626df72959ebd.png">在<img src="https://tihai-oss-cloud.itihey.com/img/33a8e395d15db59e6be01e32fdbcf6ce.png">上单调增加,且<img src="https://tihai-oss-cloud.itihey.com/img/0bff9518112062bb357c517ba7105c7a.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/5afe842927bf644aa01626df72959ebd.png">在<img src="https://tihai-oss-cloud.itihey.com/img/33a8e395d15db59e6be01e32fdbcf6ce.png">上单调减少,且<img src="https://tihai-oss-cloud.itihey.com/img/54af660ef7becad3a9643d40d106f508.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/5afe842927bf644aa01626df72959ebd.png">在<img src="https://tihai-oss-cloud.itihey.com/img/33a8e395d15db59e6be01e32fdbcf6ce.png">上单调增加,且<img src="https://tihai-oss-cloud.itihey.com/img/54af660ef7becad3a9643d40d106f508.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/5afe842927bf644aa01626df72959ebd.png">在<img src="https://tihai-oss-cloud.itihey.com/img/33a8e395d15db59e6be01e32fdbcf6ce.png">上单调减少,但<img src="https://tihai-oss-cloud.itihey.com/img/0a124c481ebe3aae4e7616f75e1b9de9.png">正负号无法确定

下面结论正确的是( )

A. 若<img src="https://tihai-oss-cloud.itihey.com/img/2b3eacb3d52a366c7d1b769d6f89747f.png">,则函数<img src="https://tihai-oss-cloud.itihey.com/img/1eaf0005ef0216d73281c5a5a3d6f176.png">在<img src="https://tihai-oss-cloud.itihey.com/img/223574d21e20052ae103f53cde733ba2.png">点取得极值B. 可导函数的极值点必是此函数的驻点C. 可导函数的驻点必是此函数的极值点D. 若<img src="https://tihai-oss-cloud.itihey.com/img/223574d21e20052ae103f53cde733ba2.png">是<img src="https://tihai-oss-cloud.itihey.com/img/1eaf0005ef0216d73281c5a5a3d6f176.png">极值点,则必有<img src="https://tihai-oss-cloud.itihey.com/img/2b3eacb3d52a366c7d1b769d6f89747f.png">

求函数<img src="https://tihai-oss-cloud.itihey.com/img/046097d90d73ae22f52faea5d9fe095f.png">的原函数为

A. <img src="https://tihai-oss-cloud.itihey.com/img/00591906ff6e1560e719e4dda5e05117.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/233e85ff17daf790e0288faca5d45f71.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/eeaa7eef553bdd37f256b7296af0af25.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/264c4efbe2ed493f2b79b9bb583b23bf.png">

<img src="https://tihai-oss-cloud.itihey.com/img/c7dae148ddb1b4b0f63542f5c3d35a72.png">

A. 0B. <img src="https://tihai-oss-cloud.itihey.com/img/5ddf89660f10e8c62652a67f8a8b837a.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/caa3c359fad0a5dcfbc319a61a8d62ca.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/9bb926b225e506c65342203d9cc7b6d5.png">

若<img src="https://tihai-oss-cloud.itihey.com/img/d6514745a8a9c1261cae02e377cb4999.png">,<img src="https://tihai-oss-cloud.itihey.com/img/df3cee5ec2303fb338394f86a8030a33.png">,<img src="https://tihai-oss-cloud.itihey.com/img/e4511c1c23375182fd10cadef901683d.png">,则a、b、c的大小关系为( )

A. a<b<cB. b<a<cC. c<a<bD. b<c<a

1. 函数<img src="https://tihai-oss-cloud.itihey.com/img/6ff7a77de9f7c0ba990cf7dfeaac79f0.png">的定义域为( )

A. <img src="https://tihai-oss-cloud.itihey.com/img/824cc5690471b69c8e1e64ab58d98739.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/f66475348a71403d5a84b002f2ecb4d1.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/8a9db680908eecbdd4c0869c6a1a1842.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/b303bb9475c8340125fc90c5946de041.png">

已知函数<img src="https://tihai-oss-cloud.itihey.com/img/b295005cfad17aebe491eb5b20825d64.png">,则<img src="https://tihai-oss-cloud.itihey.com/img/f1c408e688c114e96255101cc49197f7.png">的定义域为

当<img src="https://tihai-oss-cloud.itihey.com/img/675148b22012dfcbd96f3c91e407534e.png">________时,函数<img src="https://tihai-oss-cloud.itihey.com/img/f6c3bb9f2f51e84f768f53df9a514b40.png">是无穷大, 当<img src="https://tihai-oss-cloud.itihey.com/img/675148b22012dfcbd96f3c91e407534e.png">________时,函数<img src="https://tihai-oss-cloud.itihey.com/img/f6c3bb9f2f51e84f768f53df9a514b40.png">是无穷小

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