高等數(shù)學(xué)(理工類)考研真題三

1、考研真題三時(shí)有且是恒大于零的可導(dǎo)函數(shù)設(shè)bxaxgxfxgxfxgxf??????0)()()()()()(3.)()()()(xgafagxf(B)?)()()()(xgbfbgxf(A)?00數(shù)二考研題填空xxxx????.)21ln(arctanlim1.3000數(shù)二考研題???????填空2.曲線的斜漸近線方程為.???????)(xy??21e1x00數(shù)二考研題則當(dāng)出其類型求該函數(shù)的間斷點(diǎn)并指記此極限為求極限.)(sinsinl

2、im8.sinsin??xfxtxtxxt01數(shù)二考研題)(1)1()1()()11()(6.)3()1(5.22(A)ffxfxfxxy?????????則且嚴(yán)格單調(diào)減內(nèi)有二階導(dǎo)數(shù)在區(qū)間已知函數(shù)的拐點(diǎn)個(gè)數(shù)為曲線??0(A)1(B)2(C).3(D))()11()11(xxf???內(nèi)均有和在??01數(shù)二考研題01數(shù)二考研題).((D)(C)(B))()11()11(xxf???內(nèi)均有和在??)()11()()11(xxfxxf????內(nèi)

3、在內(nèi)在??.)()11()()11(xxfxxf????內(nèi)在內(nèi)在??[]成立使存在唯一的內(nèi)的任一對(duì)試證內(nèi)具二階連續(xù)導(dǎo)數(shù)且在設(shè).21)(lim(2))()0()()10()(0)11((1):0)()11()(7.0?????????????xxxfxfxfxxxfxfyx???01數(shù)一考研題).3)(0(0)1ln()(4.)(2nfnxxxxfn????階導(dǎo)數(shù)處的在求)()()()(bgbfxgxf(C)?).()()()(agafx

4、gxf(D)?00數(shù)二考研題少則內(nèi)具界且可導(dǎo)在設(shè)函數(shù))0()(9.???xfy0)(lim0)(lim?????????xfxf(A)xx必有時(shí)當(dāng)02數(shù)一考研題().6...1lnln2011..0)0()2()(0)0(0)0(0)(10..0)(lim)(lim0)(lim0)(lim0)(lim)(lim220000?????????????????????????????????????abababbaababahhfhbfha

5、fffxxfxfxf(D)xfxf(C)xfxf(B)xxxxxx證明不等式設(shè)試確定高階的無窮小時(shí)是比在若的某個(gè)鄰域內(nèi)具有一階連續(xù)導(dǎo)數(shù)且在設(shè)函數(shù)必有存在時(shí)當(dāng)必有時(shí)當(dāng)必有存在時(shí)當(dāng)02數(shù)一考研題02數(shù)二考研題的值?0)()()1(?xfba內(nèi)在)(2)()()2(22???bafdxxfabba???使內(nèi)存在點(diǎn)在)2()()3(ba??使相異的點(diǎn)中內(nèi)存在與在)()()(13兩個(gè)極小值點(diǎn)和一個(gè)極大值點(diǎn)一個(gè)極小值點(diǎn)和兩個(gè)極大值點(diǎn)有則內(nèi)連續(xù)在設(shè)函

6、數(shù)(B)(A)xfxf??.?其導(dǎo)?)(03數(shù)一考研題數(shù)的圖形如圖所示.2高階的無窮小是比h02數(shù)二考研題三個(gè)極小值點(diǎn)和一個(gè)極大值點(diǎn)兩個(gè)極小值點(diǎn)和兩個(gè)極大值點(diǎn)(D)(C)14.03數(shù)一考研題..______?lim0?xcosx)(ln()1x2?1Oxy.ln4ln44的交點(diǎn)個(gè)數(shù)與討論曲線xxykxy????15.)(][)(babaxf且在開區(qū)間上連續(xù)在閉區(qū)間設(shè)函數(shù)16.內(nèi)可導(dǎo)03數(shù)二考研題03數(shù)二考研題)2(lim.0)(????