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单选题 若函数
(
是自然对数的底数)在f(x)的定义域上单调递增,则称函数f(x)具有M性质.下列函数中具有M性质的是( )
学科：高等数学
时间：2025-05-20 05:20:55
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题目1单选题
函数f(x)=-lnx+2x2的递增区间是( )A. <img src="https://tihai-oss-cloud.itihey.com/img/835b9778148a361d8babad4118489cdb.png">和<img src="https://tihai-oss-cloud.itihey.com/img/21fc663d0660b56c9f741b4d2c0b620b.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/3887c618b20ee5a7d8cbebf0367f31ca.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/835b9778148a361d8babad4118489cdb.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/21fc663d0660b56c9f741b4d2c0b620b.png">
题目2单选题
f(x)的导函数f ′(x)的图象如下图所示,则函数f(x)的图象最有可能是图中的( )<img src="https://tihai-oss-cloud.itihey.com/img/3df326f5e813b81ea8f34c2d9a42faea.png">A. <img src="https://tihai-oss-cloud.itihey.com/img/69c87d467ca0f17e71cdbee2123d0726.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/86c3f11d1be0fb6d55e09929c7c07b8c.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/942bd072fc99d22210ef23d8440eae96.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/056cf6c8c5052ec2eaf300dba8ba43e4.png">
题目3单选题
已知<img src="https://tihai-oss-cloud.itihey.com/img/15a7952cddfed3eaaafb0f0ddaa91a87.png">在(-∞,-1]上递增,则实数a的范围是( )A. <img src="https://tihai-oss-cloud.itihey.com/img/507699df8251170fd564660c9f5d0406.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/f275968289f950ced690cc41b9c4fe49.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/fd447b7bb5d5a26a40d6b9192217ad65.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/afcecba26a981b3355afb6d491d724de.png">
题目4单选题
函数f(x)=x2lnx的单调递减区间为( )A. <img src="https://tihai-oss-cloud.itihey.com/img/2fb43d865815452017131cc847d0b8b3.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/986249e5acda7387e986777508f1c74a.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/d67c00bc6ea3dc6943a1d18f85507173.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/b7c64b4f4cd4d4b1d0cc975501b8094d.png">
题目5单选题
设函数f(x)的图象如图所示,则导函数f ′(x)的图象可能为( )<img src="https://tihai-oss-cloud.itihey.com/img/32c7a31e2e7993f29be4590099c69548.png">A. <img src="https://tihai-oss-cloud.itihey.com/img/4e76dabb4653040234326e7b97b27a06.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/583dd9a0c939e919fa8af33479db1393.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/ad7466214e7c010b968ebbd5151b4b3e.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/afd3cc555e4131ef691028673a5cefe4.png">
题目6单选题
下列函数在定义域内是减函数的是( )A. <img src="https://tihai-oss-cloud.itihey.com/img/50e46c5ddbb65aff7ab4ccf2e628e1cd.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/dc9b369e3e79e763a18529a6d033be69.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/59ff7631fc91f15a6640c24dfe6b9e03.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/58cba62978518ce88896173832aa402b.png">
题目7单选题
若函数<img src="https://tihai-oss-cloud.itihey.com/img/e4f0239ead0fba28fa3cfd6491e70900.png">(<img src="https://tihai-oss-cloud.itihey.com/img/f84dcaaf796abf4d42ea1f5ba4ed91ea.png">是自然对数的底数)在f(x)的定义域上单调递增,则称函数f(x)具有M性质.下列函数中具有M性质的是( )A. f(x)=2-xB. f(x)=x2C. f(x)=3-xD. f(x)=cosx
题目8单选题
函数y=f(x)的导函数y=f ′(x)的图象如图所示,则函数y=f(x)的图象可能是( )<img src="https://tihai-oss-cloud.itihey.com/img/67af6d8bcb2818ba8adcaba20f9b2809.jpg"><img src="https://tihai-oss-cloud.itihey.com/img/710f2e3734e5675e7f9c05c5f44c6660.jpg">A. AB. BC. CD. D
题目9单选题
函数<img src="https://tihai-oss-cloud.itihey.com/img/e8655cfc0154ed5253a6731cb5358c6c.png">的图像大致为( )<img src="https://tihai-oss-cloud.itihey.com/img/7b10eeb002c30a014d9e32672ac5ff81.png">A. AB. BC. CD. D
题目10单选题
函数f(x)=-x4+x2+2的图像大致为( ) <img src="https://tihai-oss-cloud.itihey.com/img/c1a99a186cd476e51ef1c5ab1b9af052.jpg">A. AB. BC. CD. D
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