高中数学常用公式定理汇总[1]高中数学常用公式定理汇总【1】201*年高考数学资料整理高中数学常用公式定理汇总集合类：ABAABABBAB逻辑关系类：pqpqpqpq真真真真真真真假真真假假假真真假真假假假假假假假对数类：logaM+logaN=logaMNlogMaM-logaN=logaNlogaMN=NlogaMlogabMN=NblogaMloga1=0logaa=1loga1=-1aloga^ba=blogaa^b=blogab=alogba=1a三角函数类：sin,一二正co，s一四正tan，一三正sinsincoscostantansin2cos21sin2cossincos2cossincos22sintan21tan1tan2tansinsinsinsincoscoscoscostantantantanfxAsinxA0,0周期：T2频率：f1T0°30°45°60°90°弧度06432sin01222321cos13212220tan03313coscoscossinsincoscoscossinsinsinsincoscossinsinsincoscossintantantan1tantantantantan1tantansin22sincostan22tan1tan2cos2cos2sin212sin22cos2201*年高考数学资料整理asinAbsinBcsinC2RabcsinAsinBsinCa*ba*b*cosa*bcosa*bxx12yy12a2b2c22bccosAcosAb2c22bca2xx1221*yy12x21yx22y22流程图类：Int2.52.52圆标方程xa圆心：a,b2yb2r2函数类：斜率：kyx22y(xx11圆一般方程x12y2DxEyF0x)2D2E24F0D2点斜式：yyy21kxx2x11y两点式：yy11xxx1DE圆心：,;半径：22E224F点点距离：PP12截距式：xayb10bax2x1y2y122一般式：AxByC韦达定理：x1x21//2k1k2点线距离：dcxxa12Ax0By0C2A222BA1xB1yC1012与A2xB2yC2021平行：AB垂直：AA1ABBB12椭圆：xab222yb1ab020a2c2焦点：(c,0),(-c,0)c2平行：A1xB1yC30垂直：B1xA1yC30平面向量类：aba//b离心率：e准线：xaac双曲线：xa22yb221a,b0b2c2a2xx1,2y211y2焦点：(c,0),(-c,0)离心率：eacxy12xy0准线：xa渐近线：yc2bax201*年高考数学资料整理抛物线：y22px(p>0)p焦点：F,02x2x2,112xx,x,x1离心率：eca准线：xp2数列类：等差：ana1n1danamnmdSa1annn2na1nn12dmnpqamanapaq等比：an1na1qananmmqSa11nqa1anqn1q1q(q≠1)mnpqamanapaq线性规划类：nnxnniyixiyii1bi1i1*n2nx2nixii1i1aybxnxiyinxyxixyiy**bi1nnx2x2inxix2i1i1aybx导数类：kxb,kC,圆标方程xa圆心：a,b2yb2r2函数类：斜率：kyx22y(xx11圆一般方程x12y2DxEyF0x)2D2E24F0D2点斜式：yyy21kxx2x11y两点式：yy11xxx1DE圆心：,;半径：22E224F点点距离：PP12截距式：xayb10bax2x1y2y122一般式：AxByC韦达定理：x1x21//2k1k2点线距离：dcxxa12Ax0By0C2A222BA1xB1yC1012与A2xB2yC2021平行：AB垂直：AA1ABBB12椭圆：xab222yb1ab020a2c2焦点：(c,0),(-c,0)c2平行：A1xB1yC30垂直：B1xA1yC30平面向量类：aba//b离心率：e准线：xaac双曲线：xa22yb221a,b0b2c2a2xx1,2y211y2焦点：(c,0),(-c,0)离心率：eacxy12xy0准线：xa渐近线：yc2bax201*年高考数学资料整理抛物线：y22px(p>0)p焦点：F,02x2x2,112xx,x,x1离心率：eca准线：xp2数列类：等差：ana1n1danamnmdSa1annn2na1nn12dmnpqamanapaq等比：an1na1qananmmqSa11nqa1anqn1q1q(q≠1)mnpqamanapaq线性规划类：nnxnniyixiyii1bi1i1*n2nx2nixii1i1aybxnxiyinxyxixyiy**bi1nnx2x2inxix2i1i1aybx导数类：kxb,kC,（0C为常数）x,1ax,axlnaa0,且a1ex,exlogax,1exloga1xlnaa0,且a1lnx,1sinx,xcosxcosx,sinxfxgx,f,xg,xCfx,Cf,xC为常数fxgx,f,xgxfxg,xfx,f,xgxfxg,xgxg2xgx0复数：i21abicdiac,bdabicdiacbdiabicdiacbdiabicdiacbdbcadix2y2xyixyiZar,以a,0为圆心，r为半径的圆Zabir,以a,b为圆心，r为半径的圆313-22i11i22i120ax2bxc0,b24ac0xb4acb2求根公式：i2a向量与向量模关系：201*年高考数学资料整理Z1Z2Z1Z2Z1Z2Z1,Z2是二次方程的根，那么即Z1abi,Z2abiZ1,Z2共轭。等式与不等式：ababaabb33222ac22a2b222aabb22b3ba242abc23abc2ab2ab,ab2ab,ab时取“”ab2ab22abcabbcac222平面几何类：内心：三条角平分线的交点（到交边距离相等，为内切圆圆心）外心：三条中垂线的交点（外接圆的圆心）垂心：三条高线的交点重心：三条中线的交点S三角形1ppapbpc注：pabc2角平分线：中AD12ABACBDDC：线2AB长2AC2BC212S扇形rr弧长22立体几何类：S直棱柱侧chch,V柱体V长方体abcShV球43R3S正棱锥侧S正棱台侧1212,,V椎体V台体1313ShSS,S球4RS,2cchhS201*年高考数学资料整理公理1：如果一...