1 . ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d56e9371b3bf34606f04e5d1465b95f.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d56e9371b3bf34606f04e5d1465b95f.png)
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2 . 小李在阅读教材时,看到“任意有理数可以写成两个整数的比.即
,
,且
使
”.小李思考:整数和有限小数可化为分数,如:
;
;那么无限循环小数如何化成分数呢?小李想到如下方法:将
化成分数,可设其小数部分为
,即
,两边同乘10可得到:
,即
,解方程可得
,所以
.应用小李的方法,则
的分数形式的结果为_________ .(化成最简分数,即分子分母的最大公约数为1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb1bd8cd00167453bc59e83987fad956.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/679e40b05f9dba49233918582fa4d895.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/548d38816e5fe4cd36768ad7fdd75f1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9900e47e00787a4d58c4d0b8c109dc5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef13cfb2703dae6002e7fae53754009d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65de1bff76e3966a495f2ac9536a1321.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5151b8f5ec61f73480e0948f746b5982.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47ffb694021b52653de5141ae27ba6d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee01dab2e3cb612eb25edda306c48546.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19707ae5a5d086315d521f3886458c51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8e49f86b00f73cca1e226ad5630b61d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ba23428c5338781d71364c5c6b5dcad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f18cf786eb02f6d1d8c1e0069ffc4b7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7afc7b80fbaa04fc36eb7034591be6d6.png)
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3 . 迎春杯数学竞赛后,甲、乙、丙、丁四名同学猜测他们之中谁能获奖.甲说:“如果我能获奖,那么乙也能获奖.”乙说:“如果我能获奖,那么丙也能获奖.”丙说:“如果丁没获奖,那么我也不能获奖.”实际上,他们之中只有一个人没有获奖,并且甲、乙、丙说的话都是正确的.那么没能获奖的同学是___________ .
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2021-06-02更新
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345次组卷
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2卷引用:辽宁省葫芦岛市2021届高三二模数学试题