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1、学子教育培训资料第三讲:绝对值化简和有理数的计算第一部分:化简绝对值【知识点一】:采用零点分段讨论法【例1】:化简【归纳点评】虽然的正负不能确定,但在某个具体的区段内都是确定的,这正是零点分段讨论法的优点,采用此法的一般步骤是:1.求零点:分别令各绝对值符号内的代数式为零,求出零点(不一定是两个).2.分段:根据第一步求出的零点,将数轴上的点划分为若干个区段,使在各区段内每个绝对值符号内的部分的正负能够确定.3.在各区段内分别考察问题.4.将各区段内的情形综合起来,得到问题的答案.【课堂练习】:化简
2、x+2
3、+
4、x-3
5、第二部分:有理数的计算一、注意事项:①有理数的加、减、乘、除
6、四则混合运算,一定要先把减法改成加法,除法改成乘法。这样可以防止出错。②应注意灵活运用运算律,使计算简便化,对互为相反数其和为零的要优先解决。③theoilleveltothenormaloillevel.(2)forthesecondarypreventionoftheleakageofcoolingwaterpipefittings,valvepartsbeforeinstallationtocheck...4.2measurestoeliminatequalitydefectsofcablescablelayinginfrontofthecableconstruction,
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10、desofeachsideofthecableyouwanttolayaccuratelyverifycablelengthsandsetaside.Bridgeshouldbecombined,correctingerrors,avoidstraight,nocablebridgescaffoldingusedintheconstruction,notallowedtouseelectricity(fire)cutting,fixcabletray,cabletrayisnotallowedasaweldinggroundconnectionorcabletraycannotb
11、eusedforotherprocesses5态度决定一切!学子教育培训资料在进行有理数的加减法运算时,先观察有没有相加后为0的数,若有,先将它们结合起来;然后把同分母的数相加;若是带分数,还可以将其整数和分数部分分别结合相加;若既有小数又有分数,通常将小数化为分数(熟记一些常见的数据:0.125=____,0.25=______,0.375=____,0.75=______等)。在进行有理数混合运算时,若有公因数,一般先提出,然后运算。有时可以利用因数之间关系获得公因数。在运算