本科高等數(shù)學(xué)練習(xí)題(ii)(含答案)

1、第七章第七章向量代數(shù)與空間解析幾何向量代數(shù)與空間解析幾何一填空題1設(shè)kjia???????23，kjib????32???，則??ba??.2設(shè)????203152?????ba??，則ba???.3設(shè)kjia???????2，kjib???????，則??ba??32.4設(shè)??????????????cbacba??????2021302121則.5設(shè)??????211302211??????cba???，則???cba???)(.6

2、設(shè)????112321????nm??，則?m?，??m?，??nm??2.7設(shè)三點(diǎn))132()312()121(??CBA，則??ACAB.8設(shè)kjia???????32，bakjib???????????，則??.9設(shè)????11321?????ba??，????則0ba??.10設(shè)??121??a?，??123???b?，則a?與b?的夾角??.11向量kjiAB???2????與y軸的夾角是.12已知三點(diǎn)BCBACBA與則、、)

3、113()112()431(?????的夾角??ABC.13過點(diǎn))201(?A且與向量kjia???????72垂直的平面方程是.14過點(diǎn))211(?A且與平面072????zyx平行的平面方程是.15過點(diǎn))310()211(??BA、的直線方程是.16過點(diǎn))014(?M且與直線351211??????zyx垂直的平面方程是.17過點(diǎn))301(?M且與直線12133?????zyx平行的直線方程是.18過點(diǎn))231(?M且與向量kjiA

4、B???432???平行的直線方程是.19以點(diǎn))321(?M為球心，半徑為4的球面方程是.20以點(diǎn))000(O為球心，半徑為2的球面方程是.二解答題1求過三點(diǎn))101(A，)011(?B，)112(?C的平面方程。2求過點(diǎn)????????????0103202)231(zyxzyxM且與直線垂直的平面方程。3求過點(diǎn))321(?M且與平面0723????zyx垂直的直線方程。SimpoPDFMergeSplitUnregisteredVe

5、rsion16設(shè)xxyzsin2??，則????yxz2.17設(shè)?????)10()ln(32)(22xxfyxyxyxf則.18設(shè))32ln(2???xezyx，則0222????yxyz.19設(shè)3ln)5cos(233?????yyxz，則??????102yxyxz.20設(shè))1ln(3232?????xxezyx，則???????122yxyxz.二解答題1設(shè))1ln()3(sin2xyxz????，求xz??、yz??.2設(shè))(

6、2xyvyxuvufz???其中函數(shù))(vuf為可微函數(shù)，求xz??、yz??.3設(shè))()2sin(22yxyfyxz????，其中)(uf為可導(dǎo)函數(shù)，求xz??、yz??.4設(shè))(yxyfxzy??，其中)(uf為可導(dǎo)函數(shù)，求xz??、yz??.5設(shè))(22xyeyxfz??，其中)(vuf有連續(xù)偏導(dǎo)數(shù)，求xz??、yz??.6設(shè))(yxxyez???，求dz.7設(shè))(22yxfyxzy???，其中)(uf為可導(dǎo)函數(shù)，求dz.8設(shè))(