專升本數(shù)學(xué)公式匯編1x)x)))sec(arcsin(tgx2x1x2(ctgx(sec)csc2x1(arccosx)secxtgx1x2(cscx)cscxctgx1(arctgx(ax)axlna1x211)(logx)(arcctgxaxlna1x2，cosx1u，utg2u2x，dx2du2sinx1u1u1u222lnxClnsinxCdxsecxdxtgxC2cosx2dxcscxdx2ctgxCseclnsecxtgxCcsclncscxctgxCsinx2secxtgxdxsecxCcscxCxax1xCaxacscxctgxdxaCarctgaxa2222axadx1xlnClna2a1xaaxaxlnC222axCdxx2a2ln(xx2a)Carcsin2aa2x2n1I2sinn2nInnn200xa2x2ax2a2x2a2a2x2ln(xx2a)C222x2x2a2x2alnxx2a2C22a2xCa2x2arcsin22asinxlim1xx01lim(1)exxx1sinsinsinsin2sin)cossin22sinsin)sinsin2coscoscos2coscoscos2sintgtg22tg()1tgtgcos122()sin22sin22sincossincos4sin33sincos22cos2cos2sin2112sin23cos14cos3ctg2ctg23tgtg32ctgtg13tg22tgtg21tg2n(uv)(n)Cuv(k)k(nk)nk0vn(n1)u(n2)vn(n1)(nk1)u(nv(k)uv(n)uvnu(n)(n1)k)2!k!f(b)f(a)f()(ba)f(b)f(a)f()F(b)F(a)F()當(dāng)F(x)x2空間2點(diǎn)的距離：dPrMM(xx)2(yy)2(zz)212212121是AB與u軸的夾角。向量在軸上的投影：jABABcos,u(a)PrjaPrjaPrju1212ababcosababab,是一個(gè)數(shù)量,xxyyzzababab兩向量之間的夾角：cosxxyyzza2a2a2b2b2b2xyzxyzijk,cababaaabsin.例：線速度：vwr.xyzbbxyzaabcabcxyz為銳角時(shí)，向量的混合積：[abc](ab)cbcabccos,xyzxyz代表平行六面體的體積。平面的方程：1、點(diǎn)法式：A(xx)B(yy)C(zz)0，其中{A,B,C},M(x,y,z)00000002、一般方程：AxByCzD03、截距世方程：xyz1abcAxByCzD平面外任意一點(diǎn)到該平面的距離：d000A2B2C2xxmtxxyyzz0空間直線的方程：二次曲面：t,其中s{m,n,p};參數(shù)方程：yynt000mnp0zzpt0x22y2z21、橢球面：1ab2c2x2y22、拋物面：3、雙曲面：?jiǎn)稳~雙曲面：,p,q同號(hào)）2p2qxax2222yby2222zcz22221雙葉雙曲面：1馬鞍面）abc3zxzyuxuyuzzf[u(tv(tzf(x,y)xf(x,y)yxy：zutzvvtuzzuuzvxzf[u(x,yv(x,yxxv當(dāng)uu(x,y)，vv(x,y)uxuyvxvyFd2y2FFFF(x,y)0F(x,y,z)0()＋()xyxyxyFxFyzxzyFFyxzFFz11qn等比數(shù)列：1qqq12nq(n1)n等差數(shù)列：調(diào)和級(jí)數(shù)：123n2121311是發(fā)散的nf(x)f(n)(x)0f(x)f(x)(xx)(xx)(xx)02n002!0n!0()f(n1)R(xx),f(x)limR0n1(n1)!n0nnf(0)f(n)(0)x0f(x)f(0