高考數(shù)學(xué)公式大全

1、１高考數(shù)學(xué)公式大全一、集合1.集合的運(yùn)算符號(hào)：交集“”，并集“”補(bǔ)集“”子集“”??C?2.非空集合的子集個(gè)數(shù)：（是指該集合元素的個(gè)數(shù)）n2n3.空集的符號(hào)為?二、函數(shù)1.定義域（整式型：；分式型：分母；零次冪型：底數(shù)；對(duì)數(shù)型：真數(shù)Rx?0?0?；根式型：被開(kāi)方數(shù)）0?0?2.偶函數(shù)：奇函數(shù)：)()(xfxf??0)()(???xfxf在計(jì)算時(shí)：偶函數(shù)常用：)1()1(??ff奇函數(shù)常用：或0)0(?f0)1()1(???ff3.單調(diào)增

2、函數(shù)：當(dāng)在遞增，也遞增；當(dāng)在遞減，也遞減xyxy單調(diào)減函數(shù)：與增函數(shù)相反4.指數(shù)函數(shù)計(jì)算：；；；；nmnmaaa???nmnmaaa???nmnmaa??)(mnmnaa?10?a指數(shù)函數(shù)的性質(zhì)：；當(dāng)時(shí)，為增函數(shù)；xay?1?axay?當(dāng)時(shí)，為減函數(shù)10??axay?指數(shù)函數(shù)必過(guò)定點(diǎn))10(5.對(duì)數(shù)函數(shù)計(jì)算：；；；1log?aa0log1?anmanama???logloglog；；nmanamalogloglog??mamannlog

3、log?mamannlog1log?對(duì)數(shù)的性質(zhì)：；當(dāng)時(shí)，為減函數(shù).當(dāng)時(shí)，xaylog?10??axaylog?1?a為增函數(shù)xaylog?對(duì)數(shù)函數(shù)必過(guò)定點(diǎn))01(6.冪函數(shù)：axy?7.函數(shù)的零點(diǎn)：①的零點(diǎn)指)(xfy?0)(?xf②在內(nèi)有零點(diǎn)；則)(xfy?)(ba0)()(??bfaf３633?????ab33?????ab特別強(qiáng)調(diào)當(dāng)a0時(shí)：)sin(cossin22?????????baba⑧三角函數(shù)的性質(zhì)：)sin(???wxA

4、y⑴單調(diào)增減區(qū)間：↑↓????????2222????kk????????23222????kk⑵對(duì)稱軸方程：；對(duì)稱中心：2????kx)0(?k⑶周期：④時(shí)，wT?2?maxy2222min????????kxykx時(shí)：⑸值域：⑥記死：兩條相鄰對(duì)稱軸之間距離為??AA?2T兩條相鄰對(duì)稱中心距離為2T9.由圖像求，三步：第一步：由圖找到振幅)sin(???wxAyA第二步：由圖找到周期，然后由求出具體值TwT?2?w第三步：代“特殊點(diǎn)”

5、利用特殊角求出的值?10.)sin(???wxAy???????個(gè)單位向左右平移a??????)(sinaxwAy11.平移個(gè)單位wxAysin??????如何變成)sin(???wxAyw?四、正余弦定理①邊與角之間的轉(zhuǎn)化：用正弦定理；；RAa2sin?RBb2sin?RCc2sin?（把邊轉(zhuǎn)化為角）ARasin2?BRbsin2?CRcsin2?，，（把角轉(zhuǎn)化成邊）RaA2sin?RbB2sin?RcC2sin?②余弦定理：夾邊夾邊