2017小学数学思维版块公式大全.pdf

文档介绍：目录计算板块.................................................................................................................................................2计数板块.................................................................................................................................................5数论板块.................................................................................................................................................7应用题板块...........................................................................................................................................11几何板块...............................................................................................................................................15行程板块...............................................................................................................................................21计算板块1、加法交换律:abba,abcacb2、加法结合律:abcabc3、乘法交换律:abba,abcacb4、乘法结合律:abcabc5、乘法分配律:abcabac6、“除法分配律”:abcacbc7、减法性质:abcabc8、除法性质:abcabc9、商不变性质:abambmanbn,m0,n010、积不变性质:abambm,m011、等差数列相关:项数n,公差d,首项a1,第n项an,前n项和Sn,通项公式:ana1n1d,anamnmd,项数公式:nana1d1,若mnpq,amanapaq求和公式:Sna1ann2,中项定理,奇数项等差数列:Snan1n2nn1从1开始连续自然数求和:12n2从1开始连续奇数求和:132n1n2从2开始连续偶数求和:242nnn1n12、多位数乘法:M99M101当M99时,积的数字和为9nn个9n个92213、aba22abb2,aba22abb2ababa2b2,a1b1abab1ab3a33a2b3ab2b3a3b3aba2abb2,a3b3aba2abb2114、平方求和:1222n2nn12n16212立方求和:1323n312nn2n14115、整数裂项:1223nn1nn1n231123234nn1n2nn1n2n34113352n12n12n32n12n1361111分数裂项:11223nn1n1111111123234nn1n2212n1n216、缺8数:123456799111111111,12345679**********,···,1234567981999999999;123456798987654321··2··3··17、走马灯数:,