计算:[(﹣2a2)3+5a4•a2]÷(﹣3a2).
2021·湖北武汉·一模 查看更多[3]
更新时间:2021-04-11 16:26:51
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解答题-问答题
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【推荐2】阅读材料,回答问题.
已知
,
,若
,
,则
,
的大小关系是
_______
(填“<”或“>”).
解:因为
,
,所以
,
,
,
所以
.
因为
,
,所以
.
(1)上述求解过程中,逆用了哪一条幂的运算性质( )
A.同底数幂的乘法 B.同底数幂的除法
C.幂的乘方 D.积的乘方
(2)已知
,
,利用材料中的逆向思维分别求
和
的值.
已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/100c98b679d4cfd5ecd9868dcd30585e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d42b8084880893fecb522da189f98517.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9587431b1d819efd1749ceef30199fc8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9168274ae1d5f93647f01b4455a8d42a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
解:因为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/961f861c4d114464faaebf5e70ea17f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9587431b1d819efd1749ceef30199fc8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f79de968d17a61c0b29bdb73cd35d144.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a100ba11920b971b81a5a677190d1d22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c64a9a6c89953ed9fb45a3594e1d27a.png)
所以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4aa1ff46d5e3a2172bf5f157a7506e3.png)
因为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad6c73bd513d4450aab93d4b51f0b965.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c57c6b6599e7f21d01fc21cd7a1511fe.png)
(1)上述求解过程中,逆用了哪一条幂的运算性质( )
A.同底数幂的乘法 B.同底数幂的除法
C.幂的乘方 D.积的乘方
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4c1448425696a57b0107f33af2181eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87e9bd08eb7a845eaa9a381ac23b4493.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13a2fb22bd6ff351494e947ac3741d48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f07a5859050dbb4afa3dc6c4b62fa9bc.png)
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