![小学奥数思维突破练习·11级](https://wfqqreader-1252317822.image.myqcloud.com/cover/836/32435836/b_32435836.jpg)
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第3讲 分数裂项
原来如此
的计算结果是。
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_18_3.jpg?sign=1738839617-6wxi9RKQfDCKsmpA4A2xmEHghsZJ0YsL-0-81adce769e0432a430cc693f8838d918)
跟我学
Step1:
观察到分母隔项相连,把相连的放到一起。
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_18_4.jpg?sign=1738839617-dkzfAz3qeZ9bkwtlVUndG9xxFZ8vGy3f-0-87159071e58835d9bb5d88e9c755b70e)
Step2:
观察到分子不相同,但是分子恰好等于分母中两个因数的和,拆分试试。
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_18_5.jpg?sign=1738839617-bfz7V9PL8B0rzEnuzgq4cLtClAC7jqVe-0-92aef9d43d82e901cd059535019a0b69)
Step3:
分数裂项的本质是研究分子与分母中因数的和差倍关系,此题有和的关系,是裂和。
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_18_6.jpg?sign=1738839617-RK3iIJVx4vWW8l5ZPwsnXafNJyBQwwMs-0-7cbca7b56ab2db6761e59900fae23fae)
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_19_1.jpg?sign=1738839617-D1mNVqjDUhETF1ZeXc4QJp0DiGCzxVsL-0-f5b9be58a80c3ceaa2e9de362fccaffe)
翻转看答案
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_19_2.jpg?sign=1738839617-kUochtccphTLhgndSl0kwZvimGGHwP3x-0-662418d7a82b1d6af0e8b031301fa0f2)
如此这般
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_19_4.jpg?sign=1738839617-SyIjKurAHCQM6XspXxZiHmAiJxJBxyno-0-0bda898ffd2ef912b96dbe08f7345491)
翻转看答案
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_19_5.jpg?sign=1738839617-ja5S33OKv4ylR11igeAzBzGUBs3nUDLR-0-10a4fb694112073e40f54d31fe01debf)
基础巩固
1.计算
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_20_1.jpg?sign=1738839617-SDx9dIrHEeSxXOra8QFcBofVpR4oo6Jo-0-5182cf1d8ae797a0506622ff75379bba)
2.计算
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_20_2.jpg?sign=1738839617-o0Lf57f5VsApCIyTUFyH5WwCYi1uZdYS-0-5b62a0fe19b8309fd0fef056058a9af2)
3.计算
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_20_3.jpg?sign=1738839617-zjuRISCOgZrNDSfwYrCbOLzJgOpPSeWV-0-c12777943c25558e6fa14da0edf0dc2a)
能力提升
4.计算
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_20_4.jpg?sign=1738839617-kTsl1DYgc57LTd2qsHRZ9JT1fE5HMSRo-0-25ae443849179c45ce5bbeca71d98032)
5.计算
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_20_5.jpg?sign=1738839617-D3S1hc13pYI5ZuU2skGtNnXatuspXQwb-0-f63dadfbf969480bed55d2afcefb45d7)
6.计算
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_20_6.jpg?sign=1738839617-SE8L6og60MbcFPYLdV0mNuAnRCO8nToK-0-5a318b13f6c9948391c3edac79a9cc88)
7.计算
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_20_7.jpg?sign=1738839617-qga7Zq1orvORxWFYFlPSQvG9MS9vwqZR-0-9a45ea0af47ccfe1f823bc3dd143837c)
8.计算
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_20_8.jpg?sign=1738839617-EWzeNyenm0WFxCo6EMjZMH0RvDpcSX6C-0-0331eb4237a576a0efff05d8f0d6981e)
9.计算
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_20_9.jpg?sign=1738839617-Ts4cMRplOCW8qn4ariOsf6nJyGa5JDHM-0-934e1e3a11362ebfeebbbb99e875ed95)
10.计算
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_20_10.jpg?sign=1738839617-bvy2rUkFE9c8ImLwiSd4qRqMMHG9OME2-0-c7d9dad15fe250157d6869c434052232)
11.计算
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_20_11.jpg?sign=1738839617-1uS5moToVNZfjUtlHRqbAdTrErGPpvQa-0-6ba3b4a4c78c6bf286c4e0220a368af8)
12.计算
思维突破
13.计算
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_21_2.jpg?sign=1738839617-NhkQNFjgnrCL0sRQ1kUbPhMtv6kPAzFk-0-9c68764cb82cec36797c0775fe4d2fb6)
14.计算
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_21_3.jpg?sign=1738839617-xrLtm14owuKsG1Km7BNJFkG7zs0BGzng-0-fff634cc6b29879665138444de5f5c75)
单题拓展
(1) 计算
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_21_4.jpg?sign=1738839617-Ohf5ay998r5NvL84vdaZ71aHjwgIqPCL-0-9729f2126ea92d5fac685d60062ca446)
(2) 计算