常用的不等式公式大全
ji ben bu deng shi gong shi wei :a + b ≥ 2 √ (a b )。chang yong de bu deng shi gong shi you :√ ((a ² + b ² )/ 2 )≥ (a + b )/ 2 ≥ √ a b ≥ 2 / ( 1 / a + 1 / b ) √ a b ≤ (a + b )/ 2 a ² + b ² ≥ 2 a b a b ≤ (a + b )² / 4 | | a | - | b | | ≤ | a + b | ≤ | a | + | " chang yong de bu deng shi de ji ben xing zhi you a & g t ; b , b & g t ; c → a & g t ; c deng 。suo shu xue ke shu xue zuo yong miao shu bu deng guan xi ji ben bu deng shi √ ( a b ) ≤ ( a + b ) / 2 chang yong bu deng shi jue dui zhi bu deng shi 、ji ben bu deng shi 、ke xi bu deng shi 、pai xu bu deng shi ding yi liang tou bu dui deng de gong shi zhong wen ming bu deng shi "
常用不等式公式:√(ab)≤(a+b)2。一般地,用纯粹的大于号“gt;"、小于号“lt;"连接的不等式称为严格不等式,用不小于号(大于或等于号)“≥"、不大于号基本不等式公式为:a+b≥2√(ab)。常用的不等式公式有:√((a²+b²)2)≥(a+b)2≥√ab≥2/(1/a+1/b) √ab≤(a+b)2 a²+b²≥2ab ab≤(a+b)²/4 ||a|-|b||≤|a+b|≤|a|+|
最新不等式常用公式汇总.docx,最新不等式常用公式汇总不等式的势本性质(对称性)(传递才生)瓦力=。一(可加小生)》Oh + c6 + c+j (同向可加性)zui xin bu deng shi chang yong gong shi hui zong . d o c x ,zui xin bu deng shi chang yong gong shi hui zong bu deng shi de shi ben xing zhi (dui cheng xing )(chuan di cai sheng )wa li = 。yi (ke jia xiao sheng ). 》O h + c 6 + c + j (tong xiang ke jia xing )"
chang yong bu deng shi gong shi :√ (a b )≤ (a + b )/ 2 。yi ban di ,yong chun cui de da yu hao “& g t ; "、xiao yu hao “& l t ; "lian jie de bu deng shi cheng wei yan ge bu deng shi ,yong bu xiao yu hao (da yu huo deng yu hao )“≥ "、bu da yu hao " 三角不等式:对于任意实数a和b,有|a + b| ≤ |a| + |b|。这个不等式表达了两个实数之和的绝对值不大于其绝对值之和。平均值不等式:对于非负实数a₁,a₂,,aₙ,有以下不等式: 算术平均值不小于几何平均值:(a₁+a₂++aₙ)/n ≥ √(a₁·a₂··aₙ) 几何平均值不小于调和平均值:(a₁+a₂++aₙ)/n ≥ n/(1/a₁+1/a₂++1
常用的不等式的基本性质有a>b,b>c→a>c等。所属学科数学作用描述不等关系基本不等式√(ab)≤(a+b)/2 常用不等式绝对值不等式、基本不等式、柯西不等式、排序不等式定义两不对等的公式中文名不等式san jiao bu deng shi : dui yu ren yi shi shu a he b , you | a + b | ≤ | a | + | b | 。zhe ge bu deng shi biao da le liang ge shi shu zhi he de jue dui zhi bu da yu qi jue dui zhi zhi he 。ping jun zhi bu deng shi : dui yu fei fu shi shu a ₁ , a ₂ , " , a ₙ , you yi xia bu deng shi : suan shu ping jun zhi bu xiao yu ji he ping jun zhi : ( a ₁ + a ₂ + " + a ₙ ) / n ≥ √ ( a ₁ · a ₂ · " · a ₙ ) ji he ping jun zhi bu xiao yu tiao he ping jun zhi : ( a ₁ + a ₂ + " + a ₙ ) / n ≥ n / ( 1 / a ₁ + 1 / a ₂ + " + 1 "