高等數(shù)學(xué)16章單元自測題

經(jīng)典word整理文檔，僅參考，雙擊此處可刪除頁眉頁腳。本資料屬于網(wǎng)絡(luò)整理，如有侵權(quán)，請聯(lián)系刪除，謝謝！《高等數(shù)學(xué)》單元自測題第一章函數(shù)與極限專業(yè)班級姓名學(xué)號一、填空題：1xfxffx。1x23nnlim。。23nnn1)2xxx2x312limsin。．3x2xx101時(shí)1cos1．x．a(chǎn)x2與xa。31e,x0,,x0,xfx01x,x0x。二、選擇題：1xarcsin(y24x2）[0,2)；）(2,2)；）[0,4]；(2,4]。2lim(n2kn)0k（nn1；0；2。limfxAxx0(x)Af(x)x在fA0f(x)A0xf(x)0。；若001．當(dāng)x0sinx2；1cos2x；12；e1x。xxsinaxx,x00,b(),0xfxbx1x),x0x0,b0ab1；aa；b1ab1。；(x)x3x3(,)在x3x306．f3。((2；；；三、計(jì)算下列各題：exye1xlimnn1n1。n212n。222n1n2nnn13lim。x11x3x12axx8a。xax1lim13tanx2x2。x031xxfxx2x21四、證明題：,bfx在af(a)a,fb)ba,bf。4《高等數(shù)學(xué)》單元自測題第二章導(dǎo)數(shù)與微分專業(yè)班級姓名學(xué)號一、判斷題：f(x)x在0f(x)x在））0ff(x)xf(x)x在在00(x)xf(x)在f(x)x在））0xx0f(x)0xx0ff(x)x在0f(x)x在））0(x)xf(x)x在在00二、選擇題：f(x)f(x2h)lim3設(shè)00hh0()2()3；）fx；）fx0032()()）fx）fx；00f(2x)(0)02設(shè)f）f）fxx0(0)1；）f(0)2；1(0)(0)；）f2sinx,x0a(x)x0fln(bx),x0）a0,b1；）a1,b1；）a0,be；）a1,be．(x)0(0)0()||()f(x)xx在設(shè)x處連續(xù)，且fxx0f(0)(0)(0)(0)．；f5三、計(jì)算下列各題：xxarcsintan3(2xy。y2f(x)()y2fx。y2(1x)y。y2xx5y。y23x26xlnxsin2xy。y22dydxd2yyy(x)eyx。ydx22xt2tdydxd2y。dx2ytetln1x2dy。y7四、應(yīng)用題：f(12x)1.()()yfx過1，求曲線在點(diǎn)()xx020cm0.4cm五、yf(e)f(x)yyef(e)。設(shè)2xxx8《高等數(shù)學(xué)》單元自測題第三章微分中值定理與導(dǎo)數(shù)的應(yīng)用專業(yè)班級姓名學(xué)號一、填空題：(x)x3x．f．f．f在(x)x4在[(x)(xx2)(xx4)f(x)0x3axx22b．lim8ab.x2二、選擇題：,b是)a,bf(a)f(b)f(x)a,ba內(nèi)至少存在一點(diǎn)使f)0eexxxlim(．eexx；0；x12x16,．y24x1y3三、計(jì)算下列各題：1(elimx.xx911].ln(1x)xx01lim(cosx)x2.x0四、應(yīng)用題：2xey2xln(xy2x12x5y3,by2a33xmym1:2mxyh五、證明題：baba10arctanbarctana．a(chǎn)b1b1a2210時(shí)，x)xx2.x2x52x20《高等數(shù)學(xué)》單元自測題第四章不定積分專業(yè)班級姓名學(xué)號一、填空題：f(x)dx22cf(x)x(f(x)dx)1x2f設(shè)f(x)xC(x2，則2.secx2dx=..tanx11dxxx)3二、選擇題：2x為f(x)f(x)（.12x）x2x1;B）2x1;2ln2）x;）.x1ln2ln(x()()fx.）2為fxln(x2ln(xln(2x2ln(x;）.2;）2;）22()()(Fxfxfxx（）F(x)C）F(x)C）F(x)CD）f(x)C.三、計(jì)算下列不定積分：e2x．dx.1exxx1x2.．dx.．11x21dx.．2x11．ex2.x1xlnx22．dx.xlnx7x．.x2x21．dx.1cos2x四、應(yīng)用題：ftt)b,（ab(t)PP(0)0P(t).《高等數(shù)學(xué)》單元自測題第五章定積分及其應(yīng)用專業(yè)班級姓名學(xué)號一、填空題：sinxdx．x4。x2(0x．fxdx=2()()fx=。x2)2x024dxx2。2sinx[0,]在xxy積V。．=。x二、選擇題：41下列說法中正確的是（(x)[a,b]在f(x)[a,b]在）f）f）f(x)[a,b]在f(x)[a,b]在(x)[a,b]在f(x)[a,b]在2,x1f(x)x1(x)f(tdt[0,2]在x2x,02x,0x12x,x01）(x)）(x)））．2xx21x22,x12x2x(x)f(x)xx1f(xdxf(x)（f=203333x+x2.2xx2；x+x2；xx2；442kxf(2xdx(u)2xf(xdx012xf(xdxkf（0001；；；D411112）；）dx；）；.(x1)22xx113x201三、計(jì)算題：cosxdx。．32224．xx2dx。301ln(1)dx。．x202x．ex。0x2tedtt2．lim。0xsinx3x0四、應(yīng)用題：1yxx2，yxx2yxxy4cos（r221從0到1yx2x2《高等數(shù)學(xué)》單元自測題第六章常微分方程專業(yè)班級姓名學(xué)號一、填空題：212yyyx。sinlnxyyye。x2d2ydy2y0dx。dx2二、選擇題：1．ye(Ccos2xCsin2x)250yy；x12230）yyy；）y206130yy.）yyy；）y56yyyxe2a，()。xbbybe2；）y*2；x））*xebyb.）y*22；*2xx1yyexa，）bbaxebaebxaxebx；.aex；；xxx三、求下列微分