计算:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d66b92a8525c7483b696af8bdb21f6c1.png)
23-24八年级上·陕西咸阳·期末 查看更多[2]
更新时间:2024-01-24 07:24:28
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解答题-计算题
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适中
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【推荐1】阅读下列解题过程:
例:若代数式
,求a的取值.
解:原式
,
当
时,原式
,解得
(舍去);
当
时,原式
,等式恒成立;
当
时,原式
,解得
;
所以,a的取值范围是
.
上述解题过程主要运用了分类讨论的方法,请你根据上述理解,解答下列问题:
(1)当
时,化简:
;
(2)若
,求a的取值;
(3)请直接写出满足
的a的取值范围________.
例:若代数式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb459fc1e320162116fbbaeda3369aff.png)
解:原式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f93868625fbde9a7c66e33dadff9ad1.png)
当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7cfada8fd642ddf968bfd4228d48ec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae363aca7f926025e5b46d087b972bd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd31a7434daff45ca9fd7fd761ecb6f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d23b2fce31b02dbc947ef5f5752c1ea6.png)
当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f184ef9e0d57554e95f369c9d4bbfea1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00a07b92fcf4f8f72cd3f2df9f00b7b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa4c355f11471a38f5583a434a1ddeb3.png)
所以,a的取值范围是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84d7c795bcba039d4f7a0703b78c3efb.png)
上述解题过程主要运用了分类讨论的方法,请你根据上述理解,解答下列问题:
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/507e0be6a14cb89eee96fe4b8487e2d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75836444c76709227578efd5fd8438a0.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9163ddfc8e0a5653769d7debc8e9276.png)
(3)请直接写出满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9056cbe8b9b695e55587db61c8526ebc.png)
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