專升本高數(shù)考試試題庫完整

....(專科起點(diǎn)升本科)高等數(shù)學(xué)備考試題庫 (2,) (2,)2.函數(shù)f(=arcsin(sinx)的定義域?yàn)?).C:-D:[-1,1]3.下列說法正確的為().A數(shù)列必收斂；B斂；CD:收斂數(shù)列必有界.4.函數(shù)f(x)=sinx不是()函數(shù).A:有界B:單調(diào)C:周期D:奇....6.設(shè)f(x)=〈x，則下面說法不正確的為().B:極限limf(x)存在；x)07.極限limsin4x=().x)0xA:1B:2C:3D:48.lim(1+1)n_5=().n)wnA:1B:eC:e_5D:wB:直線y=x；C:坐標(biāo)原點(diǎn);D:oy軸f(x)=x3sinx是().D:周期函數(shù)..11.下列函數(shù)中，表達(dá)式為基本初等函數(shù)的為().Cy=xDysinxD:有界函數(shù)13.limsin4x=().x)0sinx3A:1B:CD:不存在14.在給定的變化過程中，下列變量不為無窮大量是().xxBe1,當(dāng)x)wC:1+x,當(dāng)x)3x2-9D:lgx,當(dāng)x)0+n)n)wA:1B:eC:e3D:w16.下面各組函數(shù)中表示同一個函數(shù)的是().x1B:y=x,y=x2;.17.limtan2x=().x)0sin3xA:A:B:CD:2332，則下面說法正確的為().B:極限limf(x)存在；19.曲線y=上點(diǎn)(2,3)處的切線斜率是().4_xA:-2B:-1C:1D:2dx2x="dx2x="4A:-4B:4C:0D:121.若y=ln(1_x),則dy=().dxx=0A:-1B:1C:2D:-2....22.函數(shù)y=e一x在定義區(qū)間是嚴(yán)格單調(diào)().A:增加且凹的B:增加且凸的C:減少且凹的D:減少且凸的23.f(x)在點(diǎn)x可導(dǎo)是f(x)在點(diǎn)x可微的()條件.00A:充分B:必要C:充分必要D:以上都不對24.上限積分jxf(t)dt是().A:f,(x)的一原函數(shù)B:f,(x)的全體原函數(shù)C:f(x)的一個原函數(shù)D:f(x)的全體原函數(shù)A:2x;B:-1ylnsinxdy).dx1A:B:A:B:CD:A:1241B:4D:.28.設(shè)函數(shù)f(x)在區(qū)間[a,b]上連續(xù)，則jbf(x)dx-jbf(dt().AaaD:不能確定29.je2A:23-2B:3-2C:23-1D:43-2?z30.設(shè)z=xy，則偏導(dǎo)數(shù)=()A:yxy-1B:yxy-1lnxC:xylnxD:xyx)0ln(1+x)x)0ln(1+x)A:1B:2C:0D:3xx=11"A:-241"C:4D:...332A:B:CD:A:B:CD:A:.上限積分jxf(t)dt是().af,(x)的一個原函數(shù)af,(x)的全體原函數(shù)f(x)的一個原函數(shù)f(x)的全體原函數(shù)1xyx2+y2>1}幾x=4....B:CD:A:B:C:D:40.A:B:CD:41.A:B:CD:42.A:B:CD:43.A:B:CD:44.A:B:函數(shù)y=xex，則y=().014020000e1-e............C:1lnx+a+CaxaD:1lnxa+Cax+a?z45.設(shè)z=xy，則偏導(dǎo)數(shù)?y=().A:yxy1xC:xylnxD:xyxx382.limx23x+2=x2x2424.limx0x4.limx0x..x4x35.6.limx23x+2=.x1x21nn2+n39.設(shè)f(x)=lnx，g(x)=e3x+2,則f[g(x)]=.........|lx則limf(x)=.x)x)xx16.j1exdx=218.設(shè)z=x2y+xsinxy，則z’=.x22.設(shè)函數(shù)f(x)在點(diǎn)x0處具有導(dǎo)數(shù)，且在x0處取得極值，則f’(x0)=4.jdx=.x幾01x001.計算limn)wfx函數(shù)，求jxf"(x)dx....x)w1+x6.計算lim(x)w1+x0011.計算limn2_3n.n)w4n+10jln(lnx)+17.設(shè)f(x)=〈|l，求f(x)的不連續(xù)點(diǎn).....(專科起點(diǎn)升本科)高等數(shù)學(xué)備考試題庫參考答案1.[A]2.[A]3.[D]4.[B]5.[D]6.[C]7.[D]8.[B]9.[C]10.[B]11.[C]12.[D]13.[C]14.[B]15.[B]16.[C]17.[B]18.[A]19.[D]20.[A]21.[A]22.[C]23.[C]24.[C]25.[B]26.[D]27.[B]28.[B]29.[A]30.[A]31.[B]32.[A]33.[A]34.[B]35.[A]36.[C]37.[B]38.[B]39.[A]40.[A]41.[B]42.[A]43.[C]44.[A]45.[C]1.[3]2.[1/4]3.[y=1-2cosx]4.[1/4]5.[1/4]6.[-1/2]7.[1/2]8.[y=1-3sinx]9.[3x+2]10.[1]11.[3/2]12.[y=x+2]13.[e1]3x31.計算limn1.計算lim.y,y,5解：limn2一5n=limn=1n)w2n+3n)w2+32n223.設(shè)f"(x)是連續(xù)函數(shù)，求jxf"(x)dx2?z?z?z?z(1,1)x)w1+x6.計算lim(x)w1+xx)w1+xx)w1+xx)w1+xx)w1+x3解:y=ln(1+x3一)ln(1+x3+1)x...000000011.計算limn2-3n.n)w4n+131=解：limn2-3n1=4n)w4n+1422222....002020015.求j15.求j[ln(lnx)+1]dx解:原式=jln(lnxx+j1lnxlnxlnxlnxyfx)=x2在點(diǎn)x=1處連續(xù).x=1有定義，且x)1x-2，17.設(shè)f(x)=〈|l，求f(x)的不連續(xù)點(diǎn).x)0-x)0+