注冊巖土工程方案師基礎(chǔ)專業(yè)考試基本公式匯總(數(shù)物化電工程方案)

1、.一、高等數(shù)學(xué)公式導(dǎo)數(shù)公式：導(dǎo)數(shù)公式：基本積分表：基本積分表：三角函數(shù)的有理式積分：三角函數(shù)的有理式積分：222212211cos12sinududxxtguuuxuux????????，，，axxaaactgxxxtgxxxxctgxxtgxaxxln1)(logln)(csc)(cscsec)(seccsc)(sec)(22????????????????222211)(11)(11)(arccos11)(arcsinxarcctg

2、xxarctgxxxxx?????????????????????????????????????????????????CaxxaxdxCshxchxdxCchxshxdxCaadxaCxctgxdxxCxdxtgxxCctgxxdxxdxCtgxxdxxdxxx)ln(lncsccscsecseccscsinseccos22222222CaxxadxCxaxaaxadxCaxaxaaxdxCaxarctgaxadxCctgxxxdx

3、CtgxxxdxCxctgxdxCxtgxdx???????????????????????????????????arcsinln21ln211csclncscseclnsecsinlncosln22222222?????????????????????????????CaxaxaxdxxaCaxxaaxxdxaxCaxxaaxxdxaxInnxdxxdxInnnnarcsin22ln22)ln(221cossin2222222222

4、22222222222020??.半角公式：半角公式：??????????????????cos1sinsincos1cos1cos12cos1sinsincos1cos1cos122cos12cos2cos12sin??????????????????????ctgtg正弦定理：正弦定理：余弦定理：余弦定理：RCcBbAa2sinsinsin???Cabbaccos2222???反三角函數(shù)性質(zhì)：反三角函數(shù)性質(zhì)：arcctgxarctg

5、xxx????2arccos2arcsin??高階導(dǎo)數(shù)公式高階導(dǎo)數(shù)公式——萊布尼茲（萊布尼茲（LeibnizLeibniz）公式：）公式：)()()()2()1()(0)()()(!)1()1(!2)1()(nkknnnnnkkknknnuvvukknnnvunnvnuvuvuCuv????????????????????????中值定理與導(dǎo)數(shù)應(yīng)用：中值定理與導(dǎo)數(shù)應(yīng)用：拉格朗日中值定理。時，柯西中值定理就是當(dāng)柯西中值定理：拉格朗日中值定

6、理：xxFfaFbFafbfabfafbf??????????)(F)()()()()()())(()()(???曲率：曲率：.10.)1(limMsMM:.13202aKaKyydsdsKMMsKtgydxydss?????????????????????????的圓：半徑為直線：點的曲率：弧長。：化量；點，切線斜率的傾角變點到從平均曲率：其中弧微分公式：?????定積分的近似計算：定積分的近似計算：??????????2333313