1 . 当m,n都是实数,且满足
时,我们称
为关联点.
(1)若
是关联点,则
__________;
(2)判断点
是否为关联点,并说明理由.
(3)已知关于x,y的方程组
,当
为何值时,以方程组的解为坐标的点
是关联点?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3c472d6cbed428c7474b48695d49067.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3543d7ecdb4f5c41ade787924c91125c.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ed5f9ad4af0cd4e15ad66a6bb89fb77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.png)
(2)判断点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ac5225ff6aa3c06ff5c8437f88093f5.png)
(3)已知关于x,y的方程组
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2becd10aca811aa0289f51e0d0110fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdfc3eef2f592a4e93a6968c7f31e32f.png)
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2 . 定义一种新运算“
”:
.例如
,
.
(1)计算:
的值;
(2)已知
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc7d51315fcca519cb58bacd0040d7de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a4a5c13360923f9c69d548a343aa24f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17a5b960cc472c45e8eb0f91852a2168.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c00bd08fa4c8c11e25b8b528475cc45.png)
(1)计算:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81453b47d93967860c36312779f207a1.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d37ffa242b52c4805b0e999e696ac72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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3 . 若方程
的解为负数,则m的取值范围是_________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4833d1130187dd1ca33f65bf27ebae2f.png)
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4 . 关于x的方程
的解是一个非负数,则a的取值范围是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7cd31fa6623e185eb816a9f459bfe59.png)
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5 . 若关于x的方程
的解是负数,则a的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4756e41ddf453a24ddb0e7d4eae3b675.png)
A.![]() | B.![]() | C.![]() ![]() | D.![]() |
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6 . 解方程:
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21a3541c50d638ace98771aafcdd693c.png)
(2)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21a3541c50d638ace98771aafcdd693c.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a219e9c9ffe99afcafde888aed7b3680.png)
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7 . 在计算
时,甲错把
看成了4,得到结果是:
,乙错把
看成
,得到结果:
.
(1)求出
,
的值;
(2)在(1)的条件下,计算
的结果.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d90845b5b35d66defde7ab66442e2a94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82cb7ca9ecd0a1cfc0e7fd5fd8a12211.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5060ad37c403f248c937c1d59af5c71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c0eaede87a85402c3a54e0746cf46d1.png)
(1)求出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)在(1)的条件下,计算
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d90845b5b35d66defde7ab66442e2a94.png)
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8 . 解方程(组):
(1)
;
(2)
;
(3)
;
(4)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57455b7b4d89dad2087e292c4c8de117.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/633d54e79f2b95f69091f58ef6429586.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47ef0bfc1801eca733a05f7ed6ccb8ae.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09a085fcf0e227c4a789412b45883315.png)
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名校
9 . 若关于
的不等式组
有且仅有2个偶数解,且关于
的方程
的解为非负整数,则符合条件的所有整数
的和为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbc2f4a4719c5b2a1f906bbbc3cf7e53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cacfc5e73013a933fcded68de734478.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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10 . 定义
,如
.已知
,
(
为常数)
(1)若
,求
的值;
(2)若
中的
满足
时,且
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0c8894e0b37af5da23a1c1bffb32017.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/511fdfbf40b38621f572596eb0d4c55d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d89eaae19d05d1377e8bde31e3476d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b0bc0bea4259b98b10f3f0a88e03261.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fef2e3c2edd11d01f593d4963630f7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/514f9677c2000c133555a6f600dcf6f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c34492bd8f24db9f0c1fe08f370573b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06b9bf39c0303f43ae7bf678f40740c5.png)
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