三校生高考數(shù)學(xué)常用公式

1、1數(shù)學(xué)常用公式數(shù)學(xué)常用公式一一代數(shù)代數(shù)1.集合，函數(shù)集合，函數(shù)1.元素與集合的關(guān)系.UxAxCA???UxCAxA???2.包含關(guān)系A(chǔ)BAABB?????UUABCBCA????.UACB????UCABR???二次函數(shù)的解析式的三種形式(1)一般式2()(0)fxaxbxca????(2)頂點(diǎn)式2()()(0)fxaxhka????(3)零點(diǎn)式.12()()()(0)fxaxxxxa????5.指數(shù)式與對數(shù)式的互化式.logbaNba

2、N???(010)aaN???6.指數(shù)不等式與對數(shù)不等式(1)當(dāng)時1a?.()()()()fxgxaafxgx???()0log()log()()0()()aafxfxgxgxfxgx??????????(2)當(dāng)時01a??()()()()fxgxaafxgx???()0log()log()()0()()aafxfxgxgxfxgx??????????7.對數(shù)的四則運(yùn)算法則若a＞0，a≠1，M＞0，N＞0，則(1)log()loglog

3、aaaMNMN??(2)logloglogaaaMMNN??(3).loglog()naaMnMnR??3(3)(3)極值定理已知都是正數(shù)，則有yx（1）若積是定值，則當(dāng)時和有最小值；xypyx?yx?p2（2）若和是定值，則當(dāng)時積有最大值.yx?syx?xy241s4.復(fù)數(shù)復(fù)數(shù)(1)(1)復(fù)數(shù)的相等.（）abicdiacbd??????abcdR?(2)(2)復(fù)數(shù)的模（或絕對值）==.zabi??||z||abi?22ab?(3)(3

4、)復(fù)數(shù)的四則運(yùn)算法則(1)()()()()abicdiacbdi???????(2)()()()()abicdiacbdi???????(3)()()()()abicdiacbdbcadi??????(4).2222()()(0)acbdbcadabicdiicdicdcd???????????(4)(4)復(fù)數(shù)的乘法的運(yùn)算律，對于任何，有123zzzC?交換律:.1221zzzz???結(jié)合律:.123123()()zzzzzz?????

5、分配律:.1231213()zzzzzzz??????(5)(5)復(fù)平面上的兩點(diǎn)間的距離公式（，）.22122121||()()dzzxxyy??????111zxyi??222zxyi??5.排列組合與二項(xiàng)式定理排列組合與二項(xiàng)式定理排列數(shù)公式==.(，∈N，且)mnA)1()1(???mnnn?！！)(mnn?nmmn?注:規(guī)定.1!0?組合數(shù)公式===(∈N，，且).mnCmnmmAAmmnnn????????21)1()1(！??！