資料內(nèi)容僅供您學(xué)習(xí)參考，如有不當(dāng)之處，請聯(lián)系改正或者刪除資料內(nèi)容僅供您學(xué)習(xí)參考，如有不當(dāng)之處，請聯(lián)系改正或者刪除/資料內(nèi)容僅供您學(xué)習(xí)參考，如有不當(dāng)之處，請聯(lián)系改正或者刪除單元測試題（A)選擇題:（每題4分，共20分）（1)SKIPIF1<0與SKIPIF1<0都存在是函數(shù)SKIPIF1<0在SKIPIF1<0處有極限的（）A、必要條件B、充分條件C、充要條件D、無關(guān)條件（2）下列各式中正確的是（)A、SKIPIF1<0B、SKIPIF1<0C、SKIPIF1<0D、SKIPIF1<0(3)函數(shù)SKIPIF1<0在SKIPIF1<0處有定義是SKIPIF1<0在SKIPIF1〈0處連續(xù)的（)A、必要條件B、充分條件C、充要條件D、無關(guān)條件（4）SKIPIF1<0（）A、1B、0C、SKIPIF1<0D、不存在(5）若函數(shù)SKIPIF1<0在SKIPIF1<0內(nèi)至少存在一點SKIPIF1〈0，使得SKIPIF1〈0,則SKIPIF1〈0在SKIPIF1〈0上（）A、一定連續(xù)且SKIPIF1〈0；B、不一定連續(xù)，但SKIPIF1<0；C、不一定連續(xù)且不一定SKIPIF1<0；D、一定不連續(xù)。2、填空題(每題4分,共20分）（1)函數(shù)SKIPIF1<0的定義域(）（2)當(dāng)SKIPIF1〈0時,SKIPIF1<0極限存在嗎？（）（3)SKIPIF1<0（）(4）當(dāng)SKIPIF1〈0時，SKIPIF1<0與SKIPIF1<0是（）無窮小?（5）函數(shù)SKIPIF1〈0是有界函數(shù)嗎（）3、求下列函數(shù)的極限（每題6分，共36分）(1）SKIPIF1〈0(2)SKIPIF1<0（3)SKIPIF1〈0（4)SKIPIF1<0（5）SKIPIF1〈0（6)SKIPIF1<04、簡答題（每題8分）（1）設(shè)函數(shù)SKIPIF1〈0，問SKIPIF1〈0為何值時？函數(shù)SKIPIF1<0在SKIPIF1〈0上連續(xù)？（2）討論函數(shù)SKIPIF1<0在SKIPIF1〈0的連續(xù)性，若有間斷點,判斷類型.5、證明題(共8分）證明方程SKIPIF1〈0在SKIPIF1<0有一個根.單元測試題（B)選擇題：(1）函數(shù)SKIPIF1<0在SKIPIF1〈0處有定義是SKIPIF1<0在SKIPIF1<0處有極限的（)A、必要條件B、充分條件C、充要條件D、無關(guān)條件（2）下列各式中正確的是（）A、SKIPIF1<0B、SKIPIF1<0C、SKIPIF1〈0D、SKIPIF1〈03）SKIPIF1<0在SKIPIF1<0連續(xù),且SKIPIF1<0與SKIPIF1〈0都存在，則函數(shù)SKIPIF1<0在SKIPIF1<0內(nèi)（）A、有界B、無界C、有最大值D、有最小值（4)SKIPIF1〈0（)A、1B、0C、SKIPIF1<0D、不存在（5)下列說法不正確的是（）A、無窮大數(shù)列一定是無界的；B、無界數(shù)列不一定是無窮大數(shù)列;C、有極限的數(shù)列一定有界；D、有界數(shù)列一定存在極限。2、填空題（1）判斷函數(shù)SKIPIF1<0的奇偶性(）（2）SKIPIF1〈0（）（3）SKIPIF1<0是函數(shù)SKIPIF1〈0的（)間斷點？（4）當(dāng)SKIPIF1<0時，SKIPIF1〈0與SKIPIF1<0是(）無窮?。浚?）當(dāng)SKIPIF1〈0時,函數(shù)SKIPIF1〈0與SKIPIF1〈0是（）無窮小?3、求下列函數(shù)的極限（1）SKIPIF1〈0(2）SKIPIF1〈0（3）SKIPIF1〈0（4）SKIPIF1〈0（5）SKIPIF1<0（6）SKIPIF1〈04、簡答題（1）設(shè)函數(shù)SKIPIF1<0，問SKIPIF1<0為何值時?函數(shù)SKIPIF1〈0在SKIPIF1<0上連續(xù)？（2）已知SKIPIF1<0存在，試求SKIPIF1<0。5、證明題證明方程SKIPIF1〈0至少有一個小于1的正根.

第二章導(dǎo)數(shù)與微分自測題（A）一、選擇題1.如果SKIPIF1<0在SKIPIF1〈0處可導(dǎo),則下列結(jié)論中錯誤的是(）A。SKIPIF1〈0B。SKIPIF1〈0C.SKIPIF1〈0D。SKIPIF1<02。SKIPIF1〈0在點SKIPIF1<0處的導(dǎo)數(shù)為（）A.1B。0C?！?。若SKIPIF1<0在SKIPIF1〈0處可導(dǎo)，則a、b分別為A.a=2，b=-1B。a=1，b=2C。a=-2，b=1D。a=2，b=—4。若函數(shù)SKIPIF1<0在SKIPIF1〈0處有導(dǎo)數(shù)，函數(shù)SKIPIF1〈0在SKIPIF1〈0處沒有導(dǎo)數(shù),則SKIPIF1<0SKIPIF1<0在SKIPIF1〈0處()A.一定都沒有導(dǎo)數(shù)B。一定有導(dǎo)數(shù)C.恰有一個導(dǎo)數(shù)D。至少一個有導(dǎo)數(shù)5。SKIPIF1〈0,則SKIPIF1〈0=（）A。SKIPIF1〈0B.SKIPIF1<0C.SKIPIF1〈0D.SKIPIF1〈0二、填空題1。已知SKIPIF1〈0則SKIPIF1〈0____________2。若SKIPIF1<0為可微函數(shù)，當(dāng)SKIPIF1<0是，則在點x處的SKIPIF1〈0是關(guān)于SKIPIF1<0的______3.已知SKIPIF1<0且SKIPIF1〈0,則SKIPIF1〈0________4.SKIPIF1<0_________5。函數(shù)SKIPIF1〈0在t=2處的切線方程為___________三、綜合計算題1。等速旋轉(zhuǎn)的角速度是旋轉(zhuǎn)角與對應(yīng)時間的比，試給出非等速旋轉(zhuǎn)時角速度的定義。2。設(shè)函數(shù)SKIPIF1<0試討論x=0處的可導(dǎo)性。3。設(shè)函數(shù)SKIPIF1〈0要使SKIPIF1<0在x=1處連續(xù)而可導(dǎo)，試討論a、b應(yīng)為多少?4.設(shè)SKIPIF1<0，求SKIPIF1〈05。求SKIPIF1<06.求SKIPIF1<0，n為常數(shù)7。求SKIPIF1〈08。求SKIPIF1<09.求SKIPIF1〈010.求SKIPIF1〈011。求SKIPIF1〈012.求SKIPIF1<0第二章導(dǎo)數(shù)與微分自測題（B)一、選擇題1。下列哪個選項不是洛爾(Rolle)中值定理成立的條件（)A.SKIPIF1<0在閉區(qū)間SKIPIF1〈0上連續(xù)；B。SKIPIF1<0在開區(qū)間SKIPIF1<0上可導(dǎo)；C。SKIPIF1〈0D.SKIPIF1〈02。如果SKIPIF1<0在SKIPIF1<0處可導(dǎo)，則（）A.SKIPIF1<0B.SKIPIF1〈0C。SKIPIF1<0D.SKIPIF1<03。設(shè)SKIPIF1<0,的不可導(dǎo)點為（）A.SKIPIF1<0B.SKIPIF1<0C。SKIPIF1〈0D.SKIPIF1<04。設(shè)SKIPIF1<0，則SKIPIF1〈0()A。4B.SKIPIF1<0C.SKIPIF1〈0D。05。函數(shù)SKIPIF1<0在點SKIPIF1〈0連續(xù)，是SKIPIF1〈0在點SKIPIF1<0可導(dǎo)的（）A.必要不充分條件B。充分不必要條件C.充分必要條件D.既不充分也不必要條件二、填空題1。設(shè)SKIPIF1〈0，則SKIPIF1<0=____________2。設(shè)函數(shù)SKIPIF1<0由函數(shù)SKIPIF1〈0所確定，則SKIPIF1〈0=________3。若函數(shù)有SKIPIF1〈0，則dy=________4。函數(shù)SKIPIF1〈0導(dǎo)數(shù)不存在的點為__________5。曲線SKIPIF1〈0在點SKIPIF1<0處的切線方程為____________三、綜合計算題1。求SKIPIF1〈02。求SKIPIF1〈03。求SKIPIF1<04。設(shè)方程SKIPIF1〈0確定了函數(shù)SKIPIF1〈0，求SKIPIF1<05.設(shè)方程SKIPIF1<0確定了函數(shù)SKIPIF1<0,求SKIPIF1〈06.求曲線SKIPIF1<0在橫坐標(biāo)x=e處對應(yīng)的切線方程和法線方程7.設(shè)拋物線SKIPIF1<0對應(yīng)于橫坐標(biāo)SKIPIF1<0,SKIPIF1<0兩點為SKIPIF1〈0，SKIPIF1<0試求平行于SKIPIF1<0的拋物線的切線方程.8.求SKIPIF1<09.求SKIPIF1〈010。設(shè)SKIPIF1<0,試證SKIPIF1〈011.設(shè)方程SKIPIF1<0確定了函數(shù)SKIPIF1〈0求SKIPIF1〈012。設(shè)方程SKIPIF1〈0確定了函數(shù)SKIPIF1<0,求SKIPIF1<013。求SKIPIF1〈0

第三章試卷A一、選擇題（每題3分共15分）1．下列函數(shù)在區(qū)間SKIPIF1<0內(nèi)滿足拉格朗日定理條件的是(）（A)y=ln(lnx）（B）y=ln（2SKIPIF1<0x）（C）y=lnx（D)y=SKIPIF1〈04。點(0,1)是SKIPIF1〈0的拐點,則（)（A）SKIPIF1<0（B）SKIPIF1<0為任意值,SKIPIF1<0（C)SKIPIF1<0為任意值（D)SKIPIF1<0為任意值，SKIPIF1<05.極限SKIPIF1<0=（）;（A）1(B)0（C）-1（D）不存在6.函數(shù)SKIPIF1〈0（）(A)在SKIPIF1〈0上單調(diào)減少(B)在SKIPIF1<0上單調(diào)增加（C）在SKIPIF1<0內(nèi)單調(diào)減少(D)在SKIPIF1<0內(nèi)單調(diào)增加10.當(dāng)SKIPIF1<0>0時，SKIPIF1〈0與1+x的大小關(guān)系是(）(A）SKIPIF1<0>1+SKIPIF1〈0(B)SKIPIF1〈0<1+SKIPIF1〈0（C）SKIPIF1<0SKIPIF1<01+SKIPIF1〈0（D)SKIPIF1〈0SKIPIF1<01+SKIPIF1<0二、填空題（每題3分共15分）SKIPIF1<0SKIPIF1<0。2。在SKIPIF1〈0SKIPIF1<03。SKIPIF1<0SKIPIF1<04.SKIPIF1<0.SKIPIF1〈0三、計算題（每題10分共70分）SKIPIF1〈0SKIPIF1<0SKIPIF1<0SKIPIF1〈0SKIPIF1<016證明方程x5x10只有一個正根17SKIPIF1<0。

第三章試卷B

選擇題（每小題3分，共15分)下列函數(shù)在SKIPIF1<0上滿足羅爾定理條件的是(C）ASKIPIF1<0BSKIPIF1〈0CSKIPIF1〈0DSKIPIF1〈02、曲線SKIPIF1<0的拐點是（B）ASKIPIF1<0BSKIPIF1<0CSKIPIF1<0DSKIPIF1〈03、已知函數(shù)SKIPIF1〈0，則SKIPIF1<0有（C）實根A一個B兩個C三個D四個4、設(shè)函數(shù)SKIPIF1<0在SKIPIF1〈0內(nèi)可導(dǎo)，則在SKIPIF1<0內(nèi)SKIPIF1〈0是函數(shù)SKIPIF1<0在SKIPIF1<0內(nèi)單調(diào)增的（B）A必要非充分條件B充分非必要條件C充要條件D無關(guān)條件5、如果SKIPIF1<0，則(B）ASKIPIF1〈0是函數(shù)SKIPIF1<0的極大值BSKIPIF1<0是函數(shù)SKIPIF1<0的極小值CSKIPIF1<0不是函數(shù)SKIPIF1〈0的極值D不能判定SKIPIF1〈0是否為函數(shù)SKIPIF1<0的極值

二、填空題（每小題3分，共15分）6、函數(shù)SKIPIF1<0在SKIPIF1〈0上滿足拉格朗日定理的SKIPIF1<0=7、函數(shù)SKIPIF1〈0在閉區(qū)間SKIPIF1<0上的最大值點為SKIPIF1<0=8、函數(shù)SKIPIF1<0的單調(diào)減少區(qū)間是9、若函數(shù)SKIPIF1〈0在SKIPIF1<0二階可導(dǎo)，則SKIPIF1<0=10、曲線SKIPIF1<0的鉛直漸近線為解答題（每題10分共70分)11、計算SKIPIF1<012、計算SKIPIF1〈013、計算SKIPIF1〈014、計算SKIPIF1<015、設(shè)函數(shù)SKIPIF1<0在SKIPIF1〈0上連續(xù)，在SKIPIF1〈0內(nèi)可導(dǎo)，且SKIPIF1〈0，證明:存在SKIPIF1〈0，使得SKIPIF1<016、證明：當(dāng)SKIPIF1〈0時,SKIPIF1〈017、設(shè)函數(shù)SKIPIF1〈0在SKIPIF1<0的鄰域內(nèi)具有三階導(dǎo)數(shù)，且SKIPIF1<0求SKIPIF1〈0求SKIPIF1<0第四章單元測試題(A）選擇題：（每題3分，共15分)（1）如果SKIPIF1<0,則SKIPIF1<0（）A、SKIPIF1〈0B、SKIPIF1<0C、SKIPIF1<0D、SKIPIF1<0（2）下列各式中正確的是()A、SKIPIF1〈0B、SKIPIF1〈0C、SKIPIF1〈0D、SKIPIF1〈0（3）已知SKIPIF1<0，則SKIPIF1〈0（）A、SKIPIF1〈0B、SKIPIF1〈0C、SKIPIF1<0D、不可求（4）在區(qū)間SKIPIF1<0內(nèi)，如果SKIPIF1〈0,則下列各式中一定成立的是（）A、SKIPIF1<0B、SKIPIF1〈0C、SKIPIF1〈0D、SKIPIF1〈0（5)下列表達不正確的是（）A、SKIPIF1〈0；B、SKIPIF1〈0；C、SKIPIF1<0；D、以上各項都不正確.2、填空題：（每題3分,共15分）（1）SKIPIF1<0_____________（2）SKIPIF1<0______________(3）SKIPIF1〈0______________（4）SKIPIF1〈0()SKIPIF1〈0(5)已知SKIPIF1<0，則SKIPIF1〈0______________3、計算下列不定積分：（每題4分，共24分）（1）SKIPIF1〈0（2)SKIPIF1〈0（3）SKIPIF1<0（4)SKIPIF1〈0（5）SKIPIF1〈0（6）SKIPIF1<04、計算下列不定積分：（每題4分，共24分）(1）SKIPIF1<0（2）SKIPIF1〈0(3）SKIPIF1〈0（4）SKIPIF1〈0(5）SKIPIF1〈0(6）SKIPIF1〈05、計算下列不定積分（每題4分，共24分）（1)SKIPIF1<0（2）SKIPIF1<0（3）SKIPIF1〈0(4)SKIPIF1〈0（5）SKIPIF1〈0(6)SKIPIF1〈0

第四章單元測試題(B）選擇題：（每題3分,共15分）（1）如果SKIPIF1<0,則SKIPIF1〈0(）A、SKIPIF1〈0B、SKIPIF1〈0C、SKIPIF1<0D、SKIPIF1〈0（2)下列各式中正確的是(）A、SKIPIF1<0B、SKIPIF1〈0C、SKIPIF1<0D、SKIPIF1<0（3）已知SKIPIF1〈0,則SKIPIF1〈0（）A、SKIPIF1<0B、SKIPIF1〈0C、SKIPIF1<0D、不可求(4）在區(qū)間SKIPIF1〈0內(nèi),如果SKIPIF1〈0,則下列各式中一定成立的是（）A、SKIPIF1〈0B、SKIPIF1<0C、SKIPIF1〈0D、SKIPIF1〈0（5）下列表達不正確的是(）A、SKIPIF1<0；B、SKIPIF1〈0；C、SKIPIF1<0;D、以上各項都不正確。2、填空題（每題3分，共15分）(1）SKIPIF1〈0_____________SKIPIF1<0（2）SKIPIF1〈0______________SKIPIF1〈0(3）SKIPIF1〈0______________(4)SKIPIF1<0___________________（5）SKIPIF1<0______________3、計算下列不定積分：(每題4分，共20分）（1）SKIPIF1〈0(2）SKIPIF1〈0(3)SKIPIF1〈0(4)SKIPIF1〈0（5）SKIPIF1<04、計算下列不定積分（每題4分，共24分）（1)SKIPIF1<0（2）SKIPIF1<0（3）SKIPIF1<0（4）SKIPIF1〈0（5)SKIPIF1<0（6)SKIPIF1<05、計算下列不定積分(每題4分，共24分）（1)SKIPIF1〈0（2）SKIPIF1〈0（3）SKIPIF1<0（4）SKIPIF1〈0(5）SKIPIF1<0（6）SKIPIF1〈0第五章A卷一、填空題1.SKIPIF1〈0SKIPIF1<02.設(shè)SKIPIF1<0SKIPIF1<0則SKIPIF1<0SKIPIF1〈03.已知SKIPIF1<0為偶函數(shù)且SKIPIF1〈0,則SKIPIF1<0SKIPIF1〈04。設(shè)SKIPIF1〈0則SKIPIF1〈0SKIPIF1<05.反常積分SKIPIF1<0SKIPIF1<0二、選擇題1.下列等于1的積分是（）SKIPIF1〈0SKIPIF1<0SKIPIF1<0SKIPIF1<0SKIPIF1<0SKIPIF1〈0SKIPIF1〈0SKIPIF1<02.下列等式正確的是（）SKIPIF1〈0SKIPIF1<0SKIPIF1〈0SKIPIF1<0SKIPIF1<0SKIPIF1<0SKIPIF1<0SKIPIF1〈03.下列式子正確的是（）SKIPIF1〈0SKIPIF1<0SKIPIF1〈0SKIPIF1<0SKIPIF1<0SKIPIF1〈0SKIPIF1〈0以上都不對4.下列反常積分中，收斂的是（)SKIPIF1<0SKIPIF1<0SKIPIF1<0SKIPIF1〈0SKIPIF1〈0SKIPIF1〈0SKIPIF1〈0SKIPIF1<05.曲線SKIPIF1〈0，SKIPIF1<0與坐標(biāo)周圍成的面積是（）SKIPIF1<0SKIPIF1<0SKIPIF1〈0SKIPIF1〈0SKIPIF1<0SKIPIF1〈0SKIPIF1<0SKIPIF1<0三、計算題1.SKIPIF1<02。SKIPIF1〈03.SKIPIF1〈0，其中SKIPIF1<04.SKIPIF1<05.SKIPIF1〈06。SKIPIF1〈07。已知SKIPIF1<0，求SKIPIF1<08.SKIPIF1<09。SKIPIF1〈0四、應(yīng)用題求由SKIPIF1<0與直線SKIPIF1<0及SKIPIF1<0所圍成平面圖形的面積。第五章B卷一、填空題1.若SKIPIF1〈0，則SKIPIF1<0SKIPIF1<02.SKIPIF1<0SKIPIF1<03.SKIPIF1〈0SKIPIF1〈04.設(shè)SKIPIF1〈0有連續(xù)的導(dǎo)數(shù)，SKIPIF1〈0,SKIPIF1<0，則SKIPIF1〈0SKIPIF1〈05。若反常積分SKIPIF1<0,則常數(shù)SKIPIF1〈0SKIPIF1〈0二、選擇題1.SKIPIF1<0（）SKIPIF1〈0SKIPIF1〈0SKIPIF1〈0SKIPIF1<0SKIPIF1<0SKIPIF1<0SKIPIF1<0SKIPIF1〈02。設(shè)SKIPIF1<0在SKIPIF1〈0上連續(xù)，則定積分SKIPIF1〈0（）SKIPIF1〈00SKIPIF1<0SKIPIF1<0SKIPIF1<0SKIPIF1<0SKIPIF1<0SKIPIF1<03.設(shè)SKIPIF1〈0，則SKIPIF1<0（）SKIPIF1<0SKIPIF1〈0SKIPIF1〈0SKIPIF1〈0SKIPIF1<0SKIPIF1〈0SKIPIF1〈0SKIPIF1<04.設(shè)函數(shù)SKIPIF1〈0，則SKIPIF1<0有（）SKIPIF1〈0極小值SKIPIF1<0SKIPIF1<0極小值SKIPIF1〈0SKIPIF1〈0極大值SKIPIF1<0SKIPIF1〈0極大值SKIPIF1<05.已知SKIPIF1〈0，且SKIPIF1<0，則SKIPIF1<0()SKIPIF1<0SKIPIF1<0SKIPIF1<0SKIPIF1〈0SKIPIF1〈0SKIPIF1<0SKIPIF1<0SKIPIF1〈0三、計算題1.SKIPIF1〈02。SKIPIF1〈03.SKIPIF1<04.SKIPIF1〈05.SKIPIF1<06.SKIPIF1<07。設(shè)SKIPIF1<0，求SKIPIF1<08。SKIPIF1<09。SKIPIF1<0四、應(yīng)用題平面圖形SKIPIF1〈0由拋物線SKIPIF1〈0和SKIPIF1〈0軸圍成，試求：（1）SKIPIF1<0的面積(2）SKIPIF1<0繞SKIPIF1<0軸旋轉(zhuǎn)所得旋轉(zhuǎn)體的體積(3)SKIPIF1<0繞SKIPIF1〈0軸旋轉(zhuǎn)所得旋轉(zhuǎn)體的體積

第六章A卷

填空題1。過點(3，-2，2）垂直于平面5x—2y+6z—7=0和3x—y+2z+1=0的平面方程為____。2SKIPIF1〈0SKIPIF1<0_________________.3.過SKIPIF1<0點且平行于向量SKIPIF1<0和SKIPIF1<0的平面方程為__________。4.SKIPIF1<0______________。5。SKIPIF1〈0SKIPIF1〈0________________6.SKIPIF1<0___________________。7.SKIPIF1<0____________。8.SKIPIF1〈0___________.9.設(shè)SKIPIF1<0互相垂直，且SKIPIF1<0SKIPIF1<0模等于__________。10．過點（0，2,4)且與平面x+2z=1,y—3z=2都平行的直線是_______________.11。SKIPIF1<0___________________。選擇題1．SKIPIF1<0SKIPIF1〈0SKIPIF1<02．SKIPIF1<0SKIPIF1〈0SKIPIF1<03.SKIPIF1〈0SKIPIF1〈04。平面3x—3y—6=0的位置是(A)平行xoy平面(B）平行z軸,但不通過z軸；(C)垂直于z軸;(D）通過z軸.答:（)5．SKIPIF1<0SKIPIF1<0SKIPIF1〈06．SKIPIF1<0SKIPIF1<0SKIPIF1<0SKIPIF1〈0SKIPIF1〈07。SKIPIF1<0SKIPIF1<0SKIPIF1<0SKIPIF1〈0SKIPIF1〈08.SKIPIF1<0SKIPIF1<0SKIPIF1〈09.方程SKIPIF1<0在空間解析幾何中表示(A）橢圓柱面，（B）橢圓曲線；（C)兩個平行平面,（D)兩條平行直線.答：（）10.對于向量SKIPIF1<0，有若SKIPIF1<0,則SKIPIF1<0中至少有一個零向量SKIPIF1〈0SKIPIF1<0SKIPIF1〈011。方程SKIPIF1〈0表示(A)單葉雙曲面;(B）雙葉雙曲面;（C)錐面;（D)旋轉(zhuǎn)拋物面.答:(）12.雙曲拋物面(馬鞍面)SKIPIF1<0與xoy平面交線是（A)雙曲線;(B)拋物線，（C）平行直線；(D）相交于原點兩條直線;答()

計算題（本題共6小題,每小題8分，滿分48分。）1．SKIPIF1<0SKIPIF1〈02．SKIPIF1〈03。SKIPIF1<0SKIPIF1<04.SKIPIF1<0SKIPIF1<05．SKIPIF1〈0SKIPIF1<06．SKIPIF1〈0SKIPIF1〈0SKIPIF1〈07．SKIPIF1〈0四、證明題：1。SKIPIF1<0SKIPIF1<0SKIPIF1〈0

第六章B卷一、填空題(每小題5分，共25分）1．SKIPIF1<0______________。2．已知向量的始點坐標(biāo)為，則其終點坐標(biāo)為_____________，模為_____________．3．過點且垂直于向量的平面方程為_____________．4．在空間解析幾何中,方程表示_____________（曲面)．5．設(shè)向量的方向角，為銳角，，且，則____________.二、

選擇題（每小題5分,共25分）1、直線與平面的關(guān)系是（)．A．相交B．重合C．垂直D．平行2、設(shè)向量滿足，則必有（)（A)(B)(C）（D）。3、點到平面的距離為（）（A)1（B)（C)－1(D)4、點關(guān)于平面的對稱點是（）（A）（B）（C)(D）5、向量與三坐標(biāo)軸正向夾角分別為，則的方向余弦中的（）（A）（B）（C）（D）三、計算題（每小題10分,共50分）1、

求過點且垂直于平面和的平面方程．2、一直線在坐標(biāo)面上，且過原點又垂直于直線，求它的對稱式方程3、從點到一個平面引垂線,垂足為點,試求此平面的方程。4、判斷直線是否在平面上。5、求直線與平面的交點與夾角。第七章試卷A一、單項選擇題(每題3分共15分）1．函數(shù)SKIPIF1<0在點SKIPIF1<0處連續(xù)是函數(shù)在該點可微分的（)（A)充分而不必要條件;（B）必要而不充分條件；（C）必要而且充分條件;(D)既不必要也不充分條件。2．對于二元函數(shù)SKIPIF1〈0,下列結(jié)論正確的是（).若SKIPIF1<0,則必有SKIPIF1<0且有SKIPIF1〈0;若在SKIPIF1〈0處SKIPIF1〈0和SKIPIF1<0都存在,則在點SKIPIF1<0處SKIPIF1〈0可微；若在SKIPIF1<0處SKIPIF1〈0和SKIPIF1〈0存在且連續(xù)，則在點SKIPIF1<0處SKIPIF1<0可微;若SKIPIF1〈0和SKIPIF1<0都存在,則.SKIPIF1<0SKIPIF1<0SKIPIF1〈0.3。設(shè)ABCD

4．設(shè)SKIPIF1〈0為圓域SKIPIF1<0SKIPIF1〈0，化積分SKIPIF1〈0為二次積分的正確方法是(）。A.SKIPIF1〈0B。SKIPIF1<0C。SKIPIF1〈0D。SKIPIF1〈05．設(shè)SKIPIF1〈0,改變積分次序,則SKIPIF1<0（)A。SKIPIF1〈0B.SKIPIF1〈0C。SKIPIF1〈0D.SKIPIF1<0

二、填空題(每題3分共15分)6．設(shè)積分區(qū)域SKIPIF1〈0,且SKIPIF1<0,則SKIPIF1〈07．設(shè)積分區(qū)域SKIPIF1〈0為SKIPIF1〈0,SKIPIF1<08．若SKIPIF1<0，則SKIPIF1<09．設(shè)SKIPIF1〈0,則SKIPIF1<010.設(shè)SKIPIF1〈0為園域SKIPIF1〈0,若SKIPIF1〈0，則SKIPIF1〈0三、計算題(每題10分共70分)11．設(shè)SKIPIF1<0,求SKIPIF1〈012．設(shè)SKIPIF1〈0，求SKIPIF1<013．設(shè)SKIPIF1<014．計算二重積分SKIPIF1<0，其中SKIPIF1〈0是由直線SKIPIF1〈0所圍成的閉區(qū)域.15．改變二次積分SKIPIF1<0的積分次序。16．計算二重積分SKIPIF1<0其中D：SKIPIF1<0SKIPIF1<017．將周長為SKIPIF1<0的矩形繞它的一邊旋轉(zhuǎn)得一圓柱體，問矩形的邊長各為多少時，所得圓柱體的體積為最大?

第七章試卷B一、單項選擇題（每題3分共15分)1．函數(shù)SKIPIF1<0在點SKIPIF1〈0處偏導(dǎo)數(shù)存在是函數(shù)在該點可微分的(）。（A）充分而不必要條件;(B)必要而不充分條件；(C）必要而且充分條件；（D）既不必要也不充分條件。2.設(shè)SKIPIF1<0，其中SKIPIF1<0由圓環(huán)SKIPIF1<0所確定的閉區(qū)域，則必有（）；A.SKIPIF1<0B。SKIPIF1<0C。SKIPIF1〈0D.SKIPIF1<0，但符號不能確定3。設(shè)SKIPIF1<0是由SKIPIF1〈0所圍成的閉區(qū)域,則SKIPIF1<0（）；A。SKIPIF1〈0B。SKIPIF1<0C.SKIPIF1〈0D。04.設(shè)SKIPIF1〈0為連續(xù)函數(shù)，交換積分SKIPIF1〈0的次序得（).A.SKIPIF1<0B。SKIPIF1<0C。SKIPIF1〈0D.SKIPIF1〈05。二次積分SKIPIF1〈0可以寫成_（）A.SKIPIF1〈0B。SKIPIF1<0C。SKIPIF1〈0D.SKIPIF1<0二、填空題(每題3分共15分)6．設(shè)SKIPIF1〈0，則SKIPIF1<0______。7．設(shè)SKIPIF1<0由曲線SKIPIF1〈0所圍成，則SKIPIF1〈08．若SKIPIF1<0，則SKIPIF1<09．設(shè)SKIPIF1〈0是由直線SKIPIF1〈0及SKIPIF1〈0所圍成的閉區(qū)域，則SKIPIF1<0;10。積分SKIPIF1〈0的值等于SKIPIF1〈0三、計算題（每題10分共70分）11、設(shè)12、設(shè)z=z（x,y）是由方程確定的函數(shù),求13、計算二重積分SKIPIF1〈0，其中SKIPIF1<0是由直線SKIPIF1〈0所圍成的閉區(qū)域。14、改變二次積分SKIPIF1〈0的積分次序。15、求函數(shù)的極值.16、改變二次積分SKIPIF1<0的積分次序。17、從斜邊之長為SKIPIF1<0的一切直角三角形中，求有最大周長的直角三角形.

第八章無窮級數(shù)單元檢測題A卷一、選擇題：1．級數(shù)SKIPIF1<0收斂的充分條件是（）；A．SKIPIF1<0B．SKIPIF1〈0C．SKIPIF1<0D．SKIPIF1<02．若級數(shù)SKIPIF1<0收斂，那么下列級數(shù)中發(fā)散的是（）；A．SKIPIF1〈0B．SKIPIF1〈0C．SKIPIF1<0D．SKIPIF1<03．SKIPIF1〈0是級數(shù)SKIPIF1<0發(fā)散的（);A．充分條件B．必要條件C．充分必要條件D．既非充分也非必要條件4．無窮級數(shù)SKIPIF1<0收斂的充分條件是（);A．SKIPIF1<0B．SKIPIF1<0C．SKIPIF1〈0，且SKIPIF1〈0D．SKIPIF1〈0收斂5．對于級數(shù)SKIPIF1〈0,下列結(jié)論中正確的是(）；A．SKIPIF1<0時，級數(shù)收斂B．SKIPIF1<0時，級數(shù)發(fā)散C．SKIPIF1〈0時，級數(shù)收斂D．SKIPIF1〈0時,級數(shù)發(fā)散二、填空題:6．調(diào)和級數(shù)SKIPIF1<0是__________。（填收斂或發(fā)散)7．收斂級數(shù)SKIPIF1<0的和是_________。8．級數(shù)SKIPIF1<0是_________。（填收斂或發(fā)散）9．級數(shù)SKIPIF1<0是_________.（填收斂或發(fā)散)10．冪級數(shù)SKIPIF1<0的收斂半徑SKIPIF1〈0________。三、計算題:11．判定下列級數(shù)的收斂性：（1）．SKIPIF1〈0（2）．SKIPIF1〈0(3）．SKIPIF1<0（4）．SKIPIF1〈012．判定級數(shù)SKIPIF1〈0是否收斂，如果收斂，是絕對收斂還是條件收斂？13．求冪級數(shù)SKIPIF1<0的收斂域。14．將函數(shù)SKIPIF1〈0展開成SKIPIF1<0的冪級數(shù).

第八章無窮級數(shù)單元檢測題B卷一、選擇題：1．級數(shù)SKIPIF1<0的部分和數(shù)列SKIPIF1<0有界是該級數(shù)收斂的（）條件；A．必要不充分B．充分不必要C．充分必要D．既不充分也不必要2．若級數(shù)SKIPIF1〈0收斂，則下列結(jié)論中，不正確的是（）；A．SKIPIF1<0收斂B．SKIPIF1<0C．SKIPIF1<0D．SKIPIF1〈03．設(shè)SKIPIF1<0，則下列級數(shù)中必定收斂的是（）;A．SKIPIF1〈0B．SKIPIF1<0C．SKIPIF1<0D．SKIPIF1<04．關(guān)于級數(shù)SKIPIF1<0收斂性的下述結(jié)論中，正確的是（)；A．SKIPIF1<0時條件收斂B．SKIPIF1<0時絕對收斂C．SKIPIF1<0時條件收斂D．SKIPIF1〈0時發(fā)散5．下列級數(shù)中發(fā)散的是（）;A．SKIPIF1〈0B．SKIPIF1<0C．SKIPIF1〈0D．SKIPIF1〈0二、填空題：6．對于p級數(shù)SKIPIF1<0，當(dāng)SKIPIF1〈0時是______的,當(dāng)SKIPIF1〈0時是______的。（填收斂或發(fā)散）7．級數(shù)SKIPIF1<0是_________。(填收斂或發(fā)散）8．級數(shù)SKIPIF1<0是_________。（填絕對收斂，條件收斂或發(fā)散）9．級數(shù)SKIPIF1<0是_________。（填絕對收斂,條件收斂或發(fā)散）10．冪級數(shù)SKIPIF1<0的收斂半徑SKIPIF1〈0________。三、計算題:11．判定下列級數(shù)的收斂性:（1)．SKIPIF1〈0（2）．SKIPIF1〈0（3)．SKIPIF1<0（4）．SKIPIF1<012．判定級數(shù)SKIPIF1<0是否收斂，如果收斂，是絕對收斂還是條件收斂？13．求冪級數(shù)SKIPIF1<0的收斂域。14．將函數(shù)SKIPIF1〈0展開成SKIPIF1〈0的冪級數(shù)。

第九章自測題A卷選擇題：1．方程SKIPIF1<0的通解是（）；SKIPIF1<0.SKIPIF1〈0SKIPIF1<0。SKIPIF1<0SKIPIF1<0。SKIPIF1〈0SKIPIF1〈0。SKIPIF1<02。下列函數(shù)中,是微分方程SKIPIF1〈0的解的是（）;SKIPIF1<0。SKIPIF1〈0SKIPIF1〈0。SKIPIF1<0SKIPIF1〈0。SKIPIF1<0SKIPIF1〈0。SKIPIF1〈03．函數(shù)SKIPIF1<0是方程（）的解SKIPIF1<0.SKIPIF1<0SKIPIF1〈0。SKIPIF1<0SKIPIF1〈0。SKIPIF1<0SKIPIF1<0。SKIPIF1<04。求微分方程SKIPIF1<0的特解時，