- 小学奥数思维突破练习·11级
- 学而思研发中心
- 194字
- 2020-08-27 13:53:39
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=1739378595-CNc9T9c69zinO2kRWJqBiY9mdJKq0c9H-0-11eeaa51c54f95f7dbf918a9befa2962)
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=1739378595-L8gyIfckA8iSIOrErP0TuAzVK3urx2qu-0-c9873881cc2c38afed51ac001bfb4ccc)
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=1739378595-aMzInaPvqAH6e5MldWDiW7CEISiZmOsV-0-7c7d0904868662a21bf4dff879e819e7)
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=1739378595-KNwFqvrMYFbQwqIhBCkuvlCuhLy7xYgI-0-7cdd8ce369611ac6b3a4f4161fd2d26e)
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_19_1.jpg?sign=1739378595-SLlWhonXSz4G0XwOOzFY38FIMOK2ESgX-0-26ed0f9993c1f4baf0574e350c8d7cdb)
翻转看答案
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_19_2.jpg?sign=1739378595-Aga8ymU5VcJgLFLA0lWEKv06Gt4TJGgQ-0-8b2811e776c83873676cc17400c1c441)
如此这般
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_19_4.jpg?sign=1739378595-ej9VTrUPsOjX4cy5JLoUBSeBeGskQRlu-0-52d6b9cbbf08cfe7d763fddd21a46057)
翻转看答案
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_19_5.jpg?sign=1739378595-AzLXFaQdOyG5uyRNQ6JttQBSheQG4ZAZ-0-7dbda767a7abd1db27aab9c70a977681)
基础巩固
1.计算
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_20_1.jpg?sign=1739378595-3t9KdP7nHQWxqEQ5BaxKSk2SfqrzsWNv-0-53bb6ad0bfb88bb964890c5df04468d3)
2.计算
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_20_2.jpg?sign=1739378595-5mmjNxT2ZkfffA4uPBVFkRWm0fuPZIZA-0-be1f21b8935f2e3d42d5685695ea3b61)
3.计算
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_20_3.jpg?sign=1739378595-vy7MzNwSXHFK6uHdsBte6uJIWshbJAlj-0-70975864a600793f71c1b51630119a74)
能力提升
4.计算
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_20_4.jpg?sign=1739378595-OyPlXr1R01ZDqUSPbOYed76AtziYKMW1-0-73d646d81780a9c181a5fe0cf0793046)
5.计算
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_20_5.jpg?sign=1739378595-zGVmK2bBWkdkxB6z1HiZ8pj5TicnFm0s-0-703eca294c9770683b16b77be8e8c589)
6.计算
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_20_6.jpg?sign=1739378595-VfLaJU7SVHYnN1Yu0SrYfP3VwCB5aeAJ-0-e0be5c4acdf9e9cf61326ed0b964da91)
7.计算
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_20_7.jpg?sign=1739378595-vDtEGH4DOxxBXtwxOc30Xi3DdkrFPKgK-0-672b85c90aa47b53c38a00528dfcdc98)
8.计算
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_20_8.jpg?sign=1739378595-dbR8ja4PFzQ1B0TBwKdlYM7KaBH8Pewi-0-38abb4ca6d0771f34b07d8d325bf214d)
9.计算
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_20_9.jpg?sign=1739378595-nKyabWhd7cUcpbJFMJ97CMOKIvgYtRVM-0-c0318959a7dd61775f38d8867c3cb595)
10.计算
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_20_10.jpg?sign=1739378595-65z2fQKoeu1N1cehNiQ9wzhVGHWzWOKJ-0-b01903d85adfd50e3d1fcd7f75633fa4)
11.计算
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_20_11.jpg?sign=1739378595-CzVkAFXWJNc0cRPeaKkPJthWuI88NKsN-0-b0ba1d0106e03e6be8178ce54ca375e5)
12.计算
思维突破
13.计算
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_21_2.jpg?sign=1739378595-SO6uHJBjXMch32z4M7Ta4oEaEZ1JN6dL-0-1ec62180ae567b43f29b624b8f5f0916)
14.计算
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_21_3.jpg?sign=1739378595-OO5SwLVWjwUyPPBDgfp8Lfo0FEeHghGV-0-09c03809cc07d9fe45184c761b059175)
单题拓展
(1) 计算
![](https://epubservercos.yuewen.com/439E5F/17517090107467006/epubprivate/OEBPS/Images/29216_21_4.jpg?sign=1739378595-kK2QaYiE4BOzMcIbu9vb0mSVL8XbOkYq-0-018539abd663ed75c45676ce9541a4e1)
(2) 计算