高等數(shù)學(xué)(理工類)考研真題五

1、考研真題五2.1.填空填空2)7(2?????xxdx???????2210??dxxx???????00數(shù)一考研題00數(shù)二考研題0)(3.xf?且上連續(xù)在設(shè)函數(shù)0)(0?dxxf?0cos)(0?xdxxf?)().0(:1010)(4..0)()()0(2121lDtSttyxlyxyxDxOyff試求左下方部分的面積位于直線表示正方形若及直線平面上有正方形設(shè)使內(nèi)至少存在兩個(gè)不同的點(diǎn)試證在???????????????).0()(0

2、xdttSx?00數(shù)一考研題00數(shù)二考研題[])1(2)(2)1((1)cos)(5.0nxSnnxnndttxSx證時(shí)為正整數(shù)且當(dāng)設(shè)函數(shù)?????????.)(lim(2)xxSx求???00數(shù)二考研題cos)sin(6.22322xdxxx填空?????????????01數(shù)二考研題).(.)().(0)0(0)(7.2)(0xfexdttgxgfxfxxf求若且其反函數(shù)為上可導(dǎo)在設(shè)函數(shù)????)((1)0)0()0()(8.???

3、xffaaaxf的帶拉格朗日余項(xiàng)的一階麥克勞林公式寫出上有二階連續(xù)導(dǎo)數(shù)在區(qū)間設(shè)01數(shù)二考研題01數(shù)二考研題[)[]ln9.2???xxdxe填空????????02數(shù)一考研題.)(3)((2)3?????dxxffaaaaa使上至少存在一點(diǎn)證明在??[]cos12cos1cos11lim10.?????????????????nnnnnn填空????02數(shù)二考研題????????12..(D)(C))(11.(B)(A)xf則下列函數(shù)中

4、必為偶函數(shù)的是連續(xù)設(shè)函數(shù))(20dttfx)(20dttfx02數(shù)二考研題)()(0??dttftftx[].)()(0??dttftftx[].2lim)00()(12.2arctan0?????nnfeyxfyntx并求極限寫出此切線方程處的切線相同在點(diǎn)與已知兩曲線02數(shù)一考研題.)()(1001)1(232)(13.122的表達(dá)式求函數(shù)已知函數(shù)dttfxFxxexexxxfxxx?????????????02數(shù)二考研題tantan

5、402401(D)(C)(B)(A)dxxxIdxxxI??則設(shè)??15.)(.21II??21II??.12II??12II??03數(shù)二考研題1111dt.)(eeeenadxxannnnnnn().1)11)11)11)1lim12314.1231101????????????????則極限設(shè)x((((.?232323A)(C)(B)(D)(.)1(21)(922ln2112????????????xtudxydtduueytxxy

6、y所確定由參數(shù)方程設(shè)函數(shù)16.求03數(shù)二考研題()..(D)(C)(B)(A)????????????04數(shù)一、二考研題().sintancos017.030022???dttdttdttxxxx則正確的排列次序是使排在后面的是前一個(gè)的高階無窮小排列起來時(shí)的無窮小量把?????13..31.設(shè)函數(shù))(yxf連續(xù)則二次積分1sin2)(xdyyxfdx??().(A)???ydxyxfdyarcsin10)(???ydxyxfdyarcs