观察下列等式,然后解答问题:
,
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c989961a6b28f3129a380e17979b9e7.png)
(1)根据上面的规律,请你猜想:
.
(2)根据上面的猜想结论,计算:
(3)探究并计算:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e84c4f7541b24acd83bcf89dc5bff21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6365a8923286768a2ee8c857dbda447f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c989961a6b28f3129a380e17979b9e7.png)
(1)根据上面的规律,请你猜想:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0238657619e3f3b63c0affd5d3b7492.png)
(2)根据上面的猜想结论,计算:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a17541e1a9231c03e55f8e1dee2ce3cf.png)
(3)探究并计算:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23ae9389c9c434c8298873f43666d438.png)
更新时间:2019-11-13 22:21:27
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【知识点】 与实数运算相关的规律题
相似题推荐
解答题-问答题
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较难
(0.4)
名校
【推荐1】规律探究,观察下列等式:
第1个等式:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3809194838ff628cfb40b09000c684d5.png)
第2个等式:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04ce4c512fe441b1cc91616e97cd4aa0.png)
第3个等式:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8032dafb993d149f733e8ca245cdc871.png)
第4个等式:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/181aa54c4a1ac7fb4e60e0c30d2b3425.png)
请回答下列问题:
(1)按以上规律写出第5个等式:= ___________ = ___________
(2)用含n的式子表示第n个等式:= ___________ = ___________(n为正整数)
(3)求
第1个等式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3809194838ff628cfb40b09000c684d5.png)
第2个等式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04ce4c512fe441b1cc91616e97cd4aa0.png)
第3个等式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8032dafb993d149f733e8ca245cdc871.png)
第4个等式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/181aa54c4a1ac7fb4e60e0c30d2b3425.png)
请回答下列问题:
(1)按以上规律写出第5个等式:= ___________ = ___________
(2)用含n的式子表示第n个等式:= ___________ = ___________(n为正整数)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a453f125080aab92f42397570eff4242.png)
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解答题-计算题
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较难
(0.4)
名校
【推荐2】已知
,计算
,
,
.
猜想:
(n为正整数);
(1)根据你的猜想计算:
①
②
(n为正整数)
③
(2)通过以上规律请你进行下面的探索:
①![](https://staticzujuan.xkw.com/quesimg/Upload/formula/240df6e0c4d0d50e0bb6a8cbdac242d2.png)
②![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f95800e35313361a2e66e99c2f2a0d46.png)
③![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccffa05dcf5f6d2ca00be3ba2e11accc.png)
(3)判断
的个位数字是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e30c903d8f8a05332af0b19e7e40df3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59483bb6dfbea1e69d20a08e93f5ab4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3c92432c271d7d16594fc69236ae73a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/449d9b0ffe93ab97bce1ec867dd096b6.png)
猜想:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5615f93e0b67218b1c8c8c91207db540.png)
(1)根据你的猜想计算:
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b78b00a9f3db5923fd17c560dbb2e3ca.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cf275c92a156a4378755ceb7275a175.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3e28c60c3322d7da09e4e2d71d44496.png)
(2)通过以上规律请你进行下面的探索:
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/240df6e0c4d0d50e0bb6a8cbdac242d2.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f95800e35313361a2e66e99c2f2a0d46.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccffa05dcf5f6d2ca00be3ba2e11accc.png)
(3)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e1bc1594adbf11fec0715406382e2ac.png)
您最近一年使用:0次