先观察:1﹣
=
×
,1﹣
=
×
,1﹣
=
×
,…
(1)探究规律填空:1﹣
= × ;
(2)计算:(1﹣
)•(1﹣
)•(1﹣
)…(1﹣
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13b9c928e6ad28d6ef7634c2197d79e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4b8503f4706b8321e4e79a87eadea84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b46df8bfacb9059f07d768507bb187d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf31876698721a199c7c53c6b320aa86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d599cb4a589f90b0205f24c2e1fa021e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad5f9668b5d0b46c9b5105ffe7c23e48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b2a698891d42c70b597f0da4f215f09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d59ab85c075a09d55d69e159e4abb268.png)
(1)探究规律填空:1﹣
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30a2d7dcdedd090ff94ec953e0edb70e.png)
(2)计算:(1﹣
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13b9c928e6ad28d6ef7634c2197d79e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b46df8bfacb9059f07d768507bb187d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad5f9668b5d0b46c9b5105ffe7c23e48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17ff3619adb56d56572cfe1dddaaa9ee.png)
更新时间:2017-11-10 14:33:56
|
相似题推荐
解答题-计算题
|
较难
(0.4)
【推荐1】符号
表示一种新运算,运算示例如下:
,
,
,
,……符号g表示另一种新运算,运算示例如下:
,
,
,
,…….
利用以上新运算,完成下列问题是:
(1)分别求
、
的值;
(2)用含
的代数式表示
与
,并比较
与
的大小;
(3)先化简,再求值:
,其中
,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca4ff0af96ea467337cb30c4c765b5f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40925889def9ed0b705a7887d711d2a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f893ea60ad09fd7c3c060ce85e53be4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76646a8fdadab1663ef63a8e45fff0be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/699364348415067ea0a77e8d2fe96e7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a0636aa2c2922e9946555954a90dc32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ab0e65472936d476261043d645a2f78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a522bd8a0b1f11af7a04bc9259ba8ced.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdaf16fc1a3bad67d86874c80ea236af.png)
利用以上新运算,完成下列问题是:
(1)分别求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cef42da484f79cfaa474a289343cc8b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c133cf9bcd7f1708b413989776e80565.png)
(2)用含
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e58070e6887dac5da1e3b0d326f16499.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dee0962fe2c398dc886abdf449dc3f52.png)
(3)先化简,再求值:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/077b10c1be4fde8c152ce9dbcae52bbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/639c3d2ff5ee566fcc1b69c65712a661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de72a5190834f5dbe895596656c038b3.png)
您最近一年使用:0次
解答题-证明题
|
较难
(0.4)
名校
【推荐2】若一个四位自然数m=
的各数位上的数字满足a﹣b=b﹣c=c﹣d=k(k≠0),则称该数为“等差数”.把自然数m的千位和个位上的数字之差的平方与百位和十位上的数字之差的平方作差,记为F(m),即F(m)=(a﹣d)2﹣(b﹣c)2,例如:1357是一个“等差数”,F(357)=(1﹣7)2﹣(3﹣5)2=32,4321是一个“等差数”,F(432)=(4﹣1)2﹣(3﹣2)2=8
(1)证明:任意一个“等差数”与它百位上的数字之和一定能被4整除;
(2)如果一个“等差数”p的各个数位数字之和与其千位数字的两倍之差是一个完全平方数,求所有满足条件的“等差数”p,并求所有满足条件的“等差数”p中F(p)的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfa502bcd6d26e6bd96a61048105bc17.png)
(1)证明:任意一个“等差数”与它百位上的数字之和一定能被4整除;
(2)如果一个“等差数”p的各个数位数字之和与其千位数字的两倍之差是一个完全平方数,求所有满足条件的“等差数”p,并求所有满足条件的“等差数”p中F(p)的最小值.
您最近一年使用:0次