![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=1739293983-O0wrf6BYGAkv6rvqVefc4aqwGzMXvf7N-0-6b0d937b16a5dd7b1724bad7bbb55e85)
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=1739293983-MMiDhrjeO1MrmGbhCZcefIt96peGucmv-0-d7d213bf24795e454f67409f1b47c7b4)
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=1739293983-Xd8LDPuWPR958PLHF6z5ruqO9PJxTlDs-0-9572e9e2f847b17df141fceda12ca3a0)
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=1739293983-Qzk1hBDfYM0BhlH5LFTR2ndTOix70Gzn-0-27fa7e1b6333b0dfe46c0b3fd2906106)
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_19_1.jpg?sign=1739293983-0LvjIU0nuWlZ60MBvlg5cjXNyOSyrbQw-0-bd6682833c40970815a9a6b8cfc3699e)
翻转看答案
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_19_2.jpg?sign=1739293983-aKbkOpJSYu5Wf9QfIU48nes3kKQNGhsT-0-25e10de826bb0c6bde393a5825f663b3)
如此这般
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_19_4.jpg?sign=1739293983-F4PoK8FhJT9Acadp9gWKkdD0bI5wvGNL-0-c87f914506292725c641aa72756644df)
翻转看答案
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_19_5.jpg?sign=1739293983-3NgByVAc0CLI6UNI4voZSD8K3RQmqfNm-0-11471aa9686ab5192545ecc3db7cbc00)
基础巩固
1.计算
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_20_1.jpg?sign=1739293983-jZVsjW4UfUysvjQddcSO3TSSGYmL86yb-0-32507ca94d213950afc05c5f79355ec6)
2.计算
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_20_2.jpg?sign=1739293983-imAgGbSvV0l3dZLobWGhmMc8PjSZLLi5-0-655f08070381967c341d3297f2fc7f92)
3.计算
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_20_3.jpg?sign=1739293983-0SyrqEoI6uCdE6IlrNdeONMdsIARk0KB-0-999f1cd3d23e823ed8e85591231f5c3f)
能力提升
4.计算
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_20_4.jpg?sign=1739293983-OoOHs3GqFMPTIlh7nLONbyEYgwWvOIAY-0-6cc6d9763a9cf04d14bdf572ae93763c)
5.计算
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_20_5.jpg?sign=1739293983-WSs19CDTXWkXopCZsfLkrpd7V2x2DvOl-0-43ff5e9d7b569b4ecaf30a277bbc4144)
6.计算
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_20_6.jpg?sign=1739293983-Oyz1xcrybD0A3kjen6udWV4UlkqHSaHc-0-7aeb108eebb7568cf90d6f4be93bc186)
7.计算
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_20_7.jpg?sign=1739293983-OYVugMeyS2tI7Raj5dPGER6wG6egNlWg-0-23ad74c43f4b2aceb0b0974029aac13f)
8.计算
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_20_8.jpg?sign=1739293983-UTZbK6XYJXXwO1lcSt8OFFCAsRjYS3rb-0-6a473a0d74d844424c10eee5a70a9435)
9.计算
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_20_9.jpg?sign=1739293983-agUtzpOZ00pbDKzeaDWrENIByUp2DDqH-0-ac84ca815213b2a7287cd0dd4e509d02)
10.计算
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_20_10.jpg?sign=1739293983-DQ8bktrzxivS8UXiPNyJNrsgEe2YpWmD-0-f93446b5f0f4f73b3d6a165f60893610)
11.计算
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_20_11.jpg?sign=1739293983-kWc7iXbTa2Oav3mlLAEWAXkImCv7UfTk-0-f2d5f9d85021fd7cdcac381b4f781ca6)
12.计算
思维突破
13.计算
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_21_2.jpg?sign=1739293983-ESYycV090koNgcQriiufhZflxQRIqg5i-0-7e71156b7db1619e3e8b164c4065b6c4)
14.计算
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_21_3.jpg?sign=1739293983-FgrwWV4F9nS8Y1uZpBA8VKz9nhzTMcbW-0-6262507343d6af6f35197d9fdb9d6e0b)
单题拓展
(1) 计算
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_21_4.jpg?sign=1739293983-NQ70WlNCVx4u8pyg2VJ6Ze6raCByvu28-0-f92bcad128b61fac551d0d2f78a7c47f)
(2) 计算