我们知道
是无理数,而无理数是无限不循环小数,因此
的小数部分我们不可能全部写出来,而
,于是可用
来表示
的小数部分,根据以上信息回答下列问题:
(1)
的小数部分为______,
的小数部分为______;
(2)若m是
的整数部分,n是
小数部分,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2967337e3fcb228dded64ab0c41a17e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2967337e3fcb228dded64ab0c41a17e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15ffaf5232b03547381e61f5915ce819.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6011af1246472cfa38d0a21a320ecac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2967337e3fcb228dded64ab0c41a17e0.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a68c1d20a422a363e356a160f096503c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19c53416d8f74283ca656cd82ff25b68.png)
(2)若m是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6df397b5075ae27f938b780936fd718c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/619096595112f0340a43b756e114dd3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fe61d78f840ae3732bf02577bad480e.png)
23-24八年级上·吉林长春·阶段练习 查看更多[3]
吉林省长春市德惠市第二十九中学2023-2024学年八年级上学期第二次月考数学试题(已下线)专题03 实数(七大题型)-【好题汇编】备战2023-2024学年七年级数学下学期期中真题分类汇编(山东专用)河北省沧州市献县2023-2024学年七年级下学期期中考试数学试题
更新时间:2024-03-14 21:21:51
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解答题-问答题
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适中
(0.65)
名校
【推荐1】[阅读材料]
∵
<
<
,即2<
<3,
∴1<
﹣1<2
∴
﹣1的整数部分为1
∴
﹣1的小数部分为
﹣2
(1)填空:
的小数部分是 .
(2)已知a是
的整数部分,b是
的小数部分,求代数式(﹣a)3+(b+4)2的值.
∵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b5a1a7a04d4c10e7a45714482bfb58d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2967337e3fcb228dded64ab0c41a17e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca5be7821872c2f83d39ffaea5216d09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2967337e3fcb228dded64ab0c41a17e0.png)
∴1<
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2967337e3fcb228dded64ab0c41a17e0.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2967337e3fcb228dded64ab0c41a17e0.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2967337e3fcb228dded64ab0c41a17e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2967337e3fcb228dded64ab0c41a17e0.png)
(1)填空:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/191666c54b9518023b66d9f5face22c6.png)
(2)已知a是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ce0249a3ff99c083fa4421877549db1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ce0249a3ff99c083fa4421877549db1.png)
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【推荐2】阅读下面的文字,解答问题:
材料一:大家知道
是无理数,而无理数是无限不循环小数,因此
的小数部分我们不可能全部地写出来,于是小明用
来表示
的小数部分,你同意小明的表示方法吗?事实上,小明的表示方法是有道理的,因为
的整数部分是1,将这个数减去其整数部分,差就是小数部分.由此我们得到一个真命题:
如果
,其中
是整数,且
那么
.
材料二:已知
是有理数,并且满足等式
求
的值.
解:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc17aaef97d9ce93544c9414375e74f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd31b4eca82585dd39d51297d0041584.png)
,解得![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69ddbb4ff15b25e5b7b35a1a7f557595.png)
请解答:
(1)如果
,其中
是整数,且
那么
_______,
______.
(2)如果
的小数部分为
,
的整数部分为
,求
的值;
(3)已知
是有理数,并且满足等式
,求
的值.
材料一:大家知道
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c34e01955f8c8fe2f0041b35d8d602a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff47c4e89e86e41c3c4351550cc16276.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e0171cdb6d0ccd9cf476c1a93238dda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f570a88863ec05afaee91ca00195a119.png)
材料二:已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e9e6ef88644629f8ae1a3a2633bf621.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
解:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc17aaef97d9ce93544c9414375e74f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd31b4eca82585dd39d51297d0041584.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e57f3cbb2974964e4bafe60382f562cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69ddbb4ff15b25e5b7b35a1a7f557595.png)
请解答:
(1)如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d81277d1d186ace2d5b90c99cedd85b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d6865e9c2df5ebb9fdb3335f590f8b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd4162c7d09f970cb77cadacdbe521.png)
(2)如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6aa18ec487c5e1f441da613b8d6bf62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9eb0dc71feeebc0b277b846dbb1c8f0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a70ed9916b93a41e859474a45419f36.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7edac77829e7aec29f8980f577959098.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b4c160faac60919e577e3a498d9e0fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b88584cf1df43e28d03592c7998b1653.png)
您最近一年使用:0次
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【推荐1】已知a是
的整数部分,b是
的小数部分,|c|=
,求a-b+c的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/619096595112f0340a43b756e114dd3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/619096595112f0340a43b756e114dd3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/619096595112f0340a43b756e114dd3d.png)
您最近一年使用:0次
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(0.65)
【推荐2】设
,x的整数部分为a,小数部分为b,求a、b的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c67ede682c2a9e02c2f8fb0b553498ef.png)
您最近一年使用:0次