1 . 阅读材料:
已知
,求代数式
的值.
解:∵
,
∴
,
∴
,
∴
.
∴
.
请你用上述方法解答下列问题:
(1)已知
,求代数式
的值;
(2)已知
,求代数式
的值.
已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d853242ecee89d5578a98d7ee8b9df24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/751cd556f0fb490a36f60ccd8d7eae26.png)
解:∵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d853242ecee89d5578a98d7ee8b9df24.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ddbeda56f998f16eb6eceafeb473d85.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b919345af812ebfcb52abd424d696a6e.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e34dba17a1f039c0cc6159788d69247e.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b9e63789b82065af86cbfb52ce10380.png)
请你用上述方法解答下列问题:
(1)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f32deb6b64f19334a54d6af759aa8d9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ecfe9c919b2d86b1ccfc9f4702a47ef.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c86cb753ef281db76db9f9fffea1a998.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6948b0629a07c92a49b8440aeac8c325.png)
您最近一年使用:0次
2 . 若
为实数,“![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b5fc57eadcede31a065a6ab71e015f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2468403b3eba9e40bfa36f464e927738.png)
”的运算结果为有理数,则
可能是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b5fc57eadcede31a065a6ab71e015f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2468403b3eba9e40bfa36f464e927738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
3 . 对于任意实数a,b,定义一种运算“
”如下:
.如:
.
(1)
______,
______;
(2)已知
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c3c2f679d53b91088ba6eb14c16cbc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59e14c78f4a7674abd1b4dadb05b2a64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a3a5aa3b559f04fb7b329f10b6dbbf9.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/291734d57184327fe56837418e18e8a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30271cb8b1173354cb4fb314da85241b.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7089b9a05e5ce224531f4a7b6de9f5f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ab60837424e4b3a51549791962b0b98.png)
您最近一年使用:0次
4 . 计算:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee43ed4fc7584807c8b56db918ffaa6c.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/089fa61e1d154cc8b20f30f9f938fd99.png)
您最近一年使用:0次
5 . 计算:
(1)
.
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a64ebffc17f74be2d17bceafc11e63ad.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d1e01e4b4b967fd58ec45fdd1f11806.png)
您最近一年使用:0次
6 . 计算:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce434daafed5f5d0921dec3bdaa4e318.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/957311303f17e140a2f21e28a681ccc1.png)
您最近一年使用:0次
名校
7 . (1)计算:
(2)解方程:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bafe54d5fa5286617fa48cdc8f1a395d.png)
(3)解方程:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25b86712b03b540c10abaaff443498a8.png)
(2)解方程:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bafe54d5fa5286617fa48cdc8f1a395d.png)
(3)解方程:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64e9584b9e7e693d8a1a702fa49e82b1.png)
您最近一年使用:0次
8 . 已知
,
,求下列式子的值:
(1)
;
(2)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18c5a2a0320e34320db6055e31f0f8fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70a100443e47f3bd8ff48866627c5a7b.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a09ffc1644c7029219b88232145abbdf.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f7266b2ef457b8ddeee3fa2cc24022e.png)
您最近一年使用:0次
9 . 计算:
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34f74f2a768792724d50f539bba45098.png)
(2)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34f74f2a768792724d50f539bba45098.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10ea3a38dd9c3c70091e6ae3f3b697dd.png)
您最近一年使用:0次
10 . 计算
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3ccb2af58e8063b3c5e464b3be58e78.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c38f915c475a66f7aaab8349ac37c611.png)
您最近一年使用:0次
2024-05-06更新
|
72次组卷
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2卷引用:浙江省杭州市萧山城区8校联考2023-2024学年八年级下学期4月期中考试数学试题