![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=1739260468-bZH2obYeQNbwGYFIpqPMykPc7yqZuax2-0-4ffa08e78d2ec3b27ba9b7a7a333f203)
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=1739260468-kwIsdy5UquUnuQQO0DD2yOOY6j5JhFZ9-0-a87aabb182cefd783aaef9157618aaf7)
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=1739260468-POp9xGvRuQsbE8XtzUrvy103OmLXoTdw-0-a2e6cfbf67a2a307e51f9990c22b0b27)
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=1739260468-BM3DztMj3P3PUJsyOo25S1tpwaOimHUA-0-9bf2537d11ed2aab00eb5fc2f5b76b1b)
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_19_1.jpg?sign=1739260468-ovKDbRIMgPhFeJV3aQhJwTct7bU2qqtu-0-d90b42f36a6f586161e03816201e3825)
翻转看答案
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_19_2.jpg?sign=1739260468-FszCbQwJcPTly7ciockw534f9EbD3MqB-0-bc4aa4a1a19b19cd05f538c45f66d756)
如此这般
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_19_4.jpg?sign=1739260468-lhhzRidHNiU0qJTwaIQO1SzVy0qGWSte-0-e8149a83dff74e8979a31c2cd3328258)
翻转看答案
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_19_5.jpg?sign=1739260468-BqOc26zPxU7RWj9dcTIVwzH9X7XZL9vh-0-1c7475551c753ba4ff5a4dd3441550ae)
基础巩固
1.计算
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_20_1.jpg?sign=1739260468-ahW6DqXHYI2QTwM7qYNYdGKwbAXXAPKf-0-7546fe1cff08332c0365e83821dcfd1c)
2.计算
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_20_2.jpg?sign=1739260468-b7C3rM3HjZ7UiRHvOr3BbF9Q3qwbn9iz-0-c4f68e0cc36243ea5f8bdc6845550e96)
3.计算
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_20_3.jpg?sign=1739260468-n5bcVJPtEkDZSlihCgm7L6pycfF0WUUo-0-397597fc04f2dff13417fc4ec83fa60b)
能力提升
4.计算
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_20_4.jpg?sign=1739260468-YQE1Uzqn9YltielWgJgVHcN1Qz25mPBe-0-651bcc55b53e74a6378de2efbb5f6f2f)
5.计算
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_20_5.jpg?sign=1739260468-VnfhuoqPjVkimCWxnfFEwBdFXPtP1yTX-0-78ae96a6a7adaefc56ead5cd725d755a)
6.计算
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_20_6.jpg?sign=1739260468-mKv4HrHnlRFcUGSG5JhCPvVF81flI9RQ-0-945e81f97f8e04e6e5aa6729b0b5cb7e)
7.计算
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_20_7.jpg?sign=1739260468-UJ05sOZeXUz83VxphjhRNmJ9CcpDLcmn-0-f40203d69f15474ce2a0af49ba716549)
8.计算
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_20_8.jpg?sign=1739260468-zpH0xS4UnJrvGPvu2xiYfU1d0Ta5wiXL-0-5c95045133f420d9b76436d079e8121b)
9.计算
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_20_9.jpg?sign=1739260468-Rwli4UgyL0SrfgnSHD2OhhHIMzrGyWKI-0-de80f64bf3be0fc64723981e7372a432)
10.计算
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_20_10.jpg?sign=1739260468-y5AeOE5cbL3pWHcUuHDDEctH78mvo50l-0-e279da210f160e4ed36d52f2702b19d8)
11.计算
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_20_11.jpg?sign=1739260468-mA2bYJqu5XWMlslGSgYC5c8hAsHvEpYD-0-daa104d7f4bbc6eb968bc277e905aabb)
12.计算
思维突破
13.计算
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_21_2.jpg?sign=1739260468-kTBsLSBrW46BsJlIQKODfpnu4sDWKWl6-0-519c4058d9bcad67811aa821a3bddb62)
14.计算
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_21_3.jpg?sign=1739260468-bAUlL7LUVdYW2xCQjqGzloSdRPbcdtPQ-0-31ffb517e1879174a61cea95bd3072d1)
单题拓展
(1) 计算
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_21_4.jpg?sign=1739260468-w4eYOgtqOU8VA3rzRx35mPVguxOHsIce-0-c6d896dac55f7da1633f1093b1aa4b25)
(2) 计算