满足不等式
的整数
的个数是_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f332f46e4cc08b122c913b2070f4af3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
更新时间:2022-03-13 19:56:24
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【推荐1】若记
表示任意实数的整数部分,例如:
,
,…,则
(其中“+”“-”依次相间)的值为______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4f5908d6a1217e493ed7586b6964dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae70f1429a7851ad4e0b8aa6d5ca20ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ec30acc4f5d73891eb485a64e9d5d44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b753c739850a383db0cd0323b02cd2ad.png)
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【推荐2】任意一个无理数介于两个整数之间,我们定义:若无理数T:m<T<n(其中m为满足不等式的最大整数,n为满足不等式的最小整数),则称无理数T的“雅区间”为(m,n).例如:1<
<2,所以
的“雅区间”为(1,2).
(1)无理数
的“雅区间”是________ ;
(2)若某一无理数的“雅区间”为(m,n),且满足0<
<12,其中
是关于x,y的二元一次方程mx﹣ny=c的一组正整数解,则c的值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
(1)无理数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73116ea07dd775affcfa9630ecfbcddb.png)
(2)若某一无理数的“雅区间”为(m,n),且满足0<
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380ccad28ff53a24579962f3b0dceaec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae246a2857f59603aa4d41b4637893c8.png)
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【推荐1】已知
,a是x的整数部分,b是x的小数部分,则a-b=_______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/848640dfc562d15ce320538b5bda499d.png)
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【推荐2】观察下列等式:
第1个等式:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03bfe30380decb4ba3f9a6b0598ed922.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e726eee320fc79df3e70fb23352f947.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6706fe00b4e231e62d9ecbec567d526b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
,
第
个等式:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03bfe30380decb4ba3f9a6b0598ed922.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13f36a88d531ba911543cce97aa5e87a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6706fe00b4e231e62d9ecbec567d526b.png)
,
第
个等式:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03bfe30380decb4ba3f9a6b0598ed922.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77bfd7913f53735141070e53ce7b4963.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8919d9fcb6521f50827183892fa801f4.png)
,
第
个等式:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03bfe30380decb4ba3f9a6b0598ed922.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a37aa26f415e8f3b3d971942725f9f9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6706fe00b4e231e62d9ecbec567d526b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2967337e3fcb228dded64ab0c41a17e0.png)
,
…
按上述规律,计算![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44730d51dd8e80e88dd7ee78d12c5eab.png)
___________ .
第1个等式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03bfe30380decb4ba3f9a6b0598ed922.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e726eee320fc79df3e70fb23352f947.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6706fe00b4e231e62d9ecbec567d526b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
第
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03bfe30380decb4ba3f9a6b0598ed922.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13f36a88d531ba911543cce97aa5e87a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6706fe00b4e231e62d9ecbec567d526b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53204688086b1d0111e91cb49fa0ac61.png)
第
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03bfe30380decb4ba3f9a6b0598ed922.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77bfd7913f53735141070e53ce7b4963.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8919d9fcb6521f50827183892fa801f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
第
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03bfe30380decb4ba3f9a6b0598ed922.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a37aa26f415e8f3b3d971942725f9f9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6706fe00b4e231e62d9ecbec567d526b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2967337e3fcb228dded64ab0c41a17e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274a9dc37509f01c2606fb3086a46f4f.png)
…
按上述规律,计算
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44730d51dd8e80e88dd7ee78d12c5eab.png)
您最近一年使用:0次