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单选题 已知函数f(x)=x3-ax-1,若f(x)在区间(-1,1)上为减函数,则a的取值范围是( )
学科：高等数学
时间：2025-03-02 13:43:37
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题目1单选题
设函数<img src="https://tihai-oss-cloud.itihey.com/img/caae8929cc2c1692c7bc07a4e971fd9d.png">,若f(x)的极小值为<img src="https://tihai-oss-cloud.itihey.com/img/26ae663866d3bf93a83b2f5203f224aa.png">,则a=( )A. <img src="https://tihai-oss-cloud.itihey.com/img/17e9a8082edb62880a2a61d92f726402.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/74b80cde49fe393b5f75b060573cdac7.png">C. 2D. <img src="https://tihai-oss-cloud.itihey.com/img/054b12d1c34151467e3cab42acaf56af.png">
题目2单选题
已知函数f(x)=x3-ax-1,若f(x)在区间(-1,1)上为减函数,则a的取值范围是( )A. B. C. D.
题目3单选题
函数<img src="https://tihai-oss-cloud.itihey.com/img/c2a67fb5d835034b983407f24d42d42b.png">的极值为( )A. 函数f(x)有极大值f(-2)和极小值f(2)B. 函数f(x)有极大值f(-1)和极小值f(2)C. 函数f(x)有极大值f(2)和极小值f(-2)D. 函数f(x)有极大值f(1)和极小值f(-2)
题目4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/fd447b7bb5d5a26a40d6b9192217ad65.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/f275968289f950ced690cc41b9c4fe49.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/afcecba26a981b3355afb6d491d724de.png">
题目5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. DB. CC. BD. A
题目6单选题
下列四个函数中,在定义域上不是单调函数的是( )A. y=x3B. y=<img src="https://tihai-oss-cloud.itihey.com/img/5e0d89aaac49f01de6e9200548c8a4d4.png">C. y=<img src="https://tihai-oss-cloud.itihey.com/img/649f9404c126950868fda89ba8895844.png">D. y=<img src="https://tihai-oss-cloud.itihey.com/img/846a87e3bf9d8c69cad127a383406f80.png">
题目7单选题
函数f(x)的定义域为区间(a,b),导函数f ′(x)在(a,b)内的图如图所示,则函数f(x)在(a,b)内的极小值有( )<img src="https://tihai-oss-cloud.itihey.com/img/e038edfcdfe71bd4ccff3f72b7cdb17c.png">A. 4个B. 2个C. 3个D. 1个
题目8单选题
已知函数f(x)的导函数为f ′(x),若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/ae2f3ee368d95ebbbfa107ee5a348b53.jpg">A. <img src="https://tihai-oss-cloud.itihey.com/img/e351c9e5572add9d5b84d626cc330d17.jpg">B. <img src="https://tihai-oss-cloud.itihey.com/img/6247f8db89621d24d2d7e06985170a03.jpg">C. <img src="https://tihai-oss-cloud.itihey.com/img/5327673bee17600452e80d6321a79128.jpg">D. <img src="https://tihai-oss-cloud.itihey.com/img/ef35eaab41af7d936b6fa3834a6b2238.jpg">
题目9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/583dd9a0c939e919fa8af33479db1393.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/4e76dabb4653040234326e7b97b27a06.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10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/986249e5acda7387e986777508f1c74a.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/2fb43d865815452017131cc847d0b8b3.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">
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