![小学奥数思维突破练习·11级](https://wfqqreader-1252317822.image.myqcloud.com/cover/836/32435836/b_32435836.jpg)
上QQ阅读APP看本书,新人免费读10天
设备和账号都新为新人
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=1739290921-r7MFPBUYFBGiShvnsIm3Tc7IEM3QsTaT-0-f0c182c24ce039757410950eb41a7b03)
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=1739290921-yqMOjPtyxSXWxlYRqpsQzZ581wd7h0Gk-0-d1ecadd2a81edaf1477b06288cd40e50)
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=1739290921-F44O1gS7KxVTRk9BqDdhvI2tCMavkJ8I-0-80e20d806f9e456d8b0553cf4fb0f6c0)
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=1739290921-7Xc1PyMX0oRpcXnMck6UGiUDYcKjexwF-0-ea0010e9ef2285f4d0d5ebbfc9b873cb)
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_19_1.jpg?sign=1739290921-9K4LAdcGP59IIhGiTFtzTMWXunXjyo6S-0-03a02db41e75937cfaa4e7fd025ae832)
翻转看答案
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_19_2.jpg?sign=1739290921-Y8aH0CufaEuDG1lb54OdKUysKz1igHD7-0-50f889b8139e5b0b11a9635d45637757)
如此这般
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_19_4.jpg?sign=1739290921-g2VyDEVHwr8USwQusndtoC3EvCiz3ou8-0-26cb80a7f2d71c1d55f477ebcd9433dc)
翻转看答案
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_19_5.jpg?sign=1739290921-4ARc3AOFpYlAfUIPA9M9vAV70icwkyIB-0-9e58b18d51467ddb574ceed1ee1f8813)
基础巩固
1.计算
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_20_1.jpg?sign=1739290921-pY0dWWWljmnsO74WhD6VBTwnWzZccvZj-0-263d4563d957d80056b157913543fccf)
2.计算
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_20_2.jpg?sign=1739290921-9MO7NBlbed05ZG9gan6UIYegR8ZRSF7p-0-1c7248b5ef598c42bf9616c8578930db)
3.计算
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_20_3.jpg?sign=1739290921-RtvONt2PZts5bsfvKDJCJWpRS9GzEZXT-0-81dd35b87672d974b39368c39c35ba8a)
能力提升
4.计算
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_20_4.jpg?sign=1739290921-pf0JeBAE2MOZoYEcvqEArYa9P71XUdZ3-0-90574e85b4464d6261ba876948a391ce)
5.计算
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_20_5.jpg?sign=1739290921-5lNhYdrwLWTKQ0ronY2c3pCYV8iKHdY5-0-4e547b18cc5cddb1b5e6a2b4c51e9134)
6.计算
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_20_6.jpg?sign=1739290921-sAQ1ymMrgZFdRvhv8pw8GtL9FdSezNSw-0-f28da5eb7b4ea4cd9c8289d1c9a537ae)
7.计算
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_20_7.jpg?sign=1739290921-cH09CyrpuuO1tKCsbWwowsw0Ni9w1wdt-0-d37dd3c7134a488180d153e1b2435e15)
8.计算
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_20_8.jpg?sign=1739290921-lWSE9QkVzZGVPOKGkjmWoU359Tzo3rPz-0-bd3457a321eabca2ff4e612238f39596)
9.计算
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_20_9.jpg?sign=1739290921-jH3BXyo1i4HaqD6GZNX1P9D7rOdTQ0eL-0-89e97b18fa2171ab42da119dff19aeaf)
10.计算
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_20_10.jpg?sign=1739290921-mWvQNvtsruUi18TuH3obCjvVLJhG22sU-0-1145ca10c26983caeee7a0b1347c6fb1)
11.计算
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_20_11.jpg?sign=1739290921-TnMmJwt9OjIJYd2hOY7FBnQhq8sEerOk-0-d7601fbcc0fd096236857910c12af1bc)
12.计算
思维突破
13.计算
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_21_2.jpg?sign=1739290921-3cUwWQz0DA87mamMfocqqUmx9itrKDW7-0-e901882928d9d5f89156738863ec50e4)
14.计算
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_21_3.jpg?sign=1739290921-fbVXmcZuZjZmno7ZyfWeLOES3Ifl9QEh-0-ec5df6759c4220c3653dcefefcce15b1)
单题拓展
(1) 计算
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_21_4.jpg?sign=1739290921-mhdjv6hBuew4RMvRC45GS59W45mwwVRm-0-4a6c11b2bc83732f720f1a13a58652b2)
(2) 计算