已知方程组
的解满足
,
均为负数.
(1)求
的取值范围;
(2)在(1)的条件下,若不等式
的解集为
,求
的整数值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6114d01a153cd885898f939d2fbb68bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)在(1)的条件下,若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1554b29f81cfed8ddb95d028023e3392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
17-18七年级·河南南阳·期末 查看更多[8]
更新时间:2023-06-05 10:12:49
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【推荐1】已知关于x,y的二元一次方程组
.
(1)若
,求a的值;
(2)若
,求a的取值范围;
(3)在(2)的条件下,化简
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a98fd651972ec3610fd0ca1b8ca244cb.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c960fc862fd36db83082f5c50cd604b.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2a4e62e68aaba12c2e376601e13edd9.png)
(3)在(2)的条件下,化简
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/325f24cd9bd900886224e5fad8a0d746.png)
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【推荐2】若点P(x,y)的坐标满足
.
(1)当a=1,b=1时,求点P的坐标;
(2)若点P在第二象限,且符合要求的整数a只有三个,求b的取值范围;
(3)若点P(x,y)为不在x轴上的点,且满足x+4=
,求关于t的不等式at>b的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22380b6fe927aa9d6c2a2e1973b438e9.png)
(1)当a=1,b=1时,求点P的坐标;
(2)若点P在第二象限,且符合要求的整数a只有三个,求b的取值范围;
(3)若点P(x,y)为不在x轴上的点,且满足x+4=
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c63b54bdef88c973605bd766c736910d.png)
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名校
【推荐1】在平面直角坐标系中,函数
(m为常数)的图象与y轴交于点A,点B的坐标为
.
(1)当
时,点A的坐标为______;
(2)当点A、B到直线
距离相等时,求m的值;
(3)过点B作x轴的垂线交函数
(m为常数)的图象于点C,以O、A、B、C为顶点构造四边形M.
①当四边形M为平行四边形时,求m的值;
②设
,当点D在四边形M的内部时,直接写出m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f7192b49c77a3fa985449ee9f49ea90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/277a8e14005a8fa23622c5124b657520.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e94f16d5ed858699bfea5039a7bf8ae6.png)
(2)当点A、B到直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c50866229ec5a3640fb250f9bd2192b3.png)
(3)过点B作x轴的垂线交函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f7192b49c77a3fa985449ee9f49ea90.png)
①当四边形M为平行四边形时,求m的值;
②设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/615a1bf53059c88f5a8fe105cbc7a16d.png)
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【推荐2】定义:使方程(组)与不等式(组)同时成立的未知数的值称为此方程(组)和不等式(组)的“理想解”.
例如:已知方程
与不等式
,当
时,
,
同时成立,则称“
”是方程
与不等式
的“理想解”.问题解决:
(1)请判断方程
的解是此方程与以下哪些不等式(组)的“理想解”______(直接填写序号)
①
, ②
, ③
;
(2)若
是方程组
与不等式
的“理想解”,求q的取值范围.
例如:已知方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8ed908f3cae7d44f0c7e8bfabb764f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/815d001ad540c93e4c63736b6c57767c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/735e460860bfe71f777b51bfbe84dcc7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f63009a1538c2f6b89ca98c6534b1010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8ed908f3cae7d44f0c7e8bfabb764f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/815d001ad540c93e4c63736b6c57767c.png)
(1)请判断方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87d4c3668c7554aaa50c3f236b7890a4.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/075c4221a7d5cb6de9409a2873653b72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b7c5475ceff9c7e222ea21e7d4d9afe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc8634b6d705b6ef53ce343c4b8f8033.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfd121f844efd916ef6b66760eb097a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59f9f3359a4d3c57c7d6a33f80a4b577.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a0bb5f1fcfe43c42f90847ea375f0e5.png)
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【推荐1】临沂地处沂蒙山区,因临沂河而得名.临沂是中国北方最大的货物集散中心,是中国北方的“物流之都”.临沂某商场“五一优惠大酬宾”期间,急需1000台空调,欲从某仓储中心调运,现仅有
两种型号的货车负责运输,每辆
型车需要60分钟送达,每辆
型车需要40分钟送达;
型车每20分钟发一辆车,
型车每10分钟发一辆车.
(1)如果第一辆
型车与第一辆
型车同时从仓储中心发车,当第
辆
型车到达商场时,第
辆
型车也同时到达,试求出
之间的数量关系.
(2)在(1)的条件下,若1辆
型车可满载50台,每辆次运费为200元;1辆
型车可满载30台,每辆次运费为150元.运输任务完成后,总运费不超过5000元.求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e52586ca2a3b783bc8092415e2d4bf6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(1)如果第一辆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](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/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0877194ab8760f54c35527177b03ff93.png)
(2)在(1)的条件下,若1辆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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【推荐2】解不等式组
,并把解集表示在数轴上,并写出其整数解.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/574bf44e2262268b15559ea25fae82f7.png)
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【推荐1】已知方程
与不等式
,当
时,
,
同时成立,则称“
”是方程
与不等式
的“完美解”.
(1)已知①
,②
,③
,则方程
的解是不等式 (填序号)的“完美解”;
(2)若
是方程组
与不等式
的一组“完美解”,求a的取值范围;
(3)若
是方程
与不等式组
的“完美解”,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35557d92bc29cd0b5b8cb352a5cc02ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d314f8771046da1298311369ad35232d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a85c88abc666d70c1c0d958d728556dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b069592cd1591401a91d3933708cc400.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35557d92bc29cd0b5b8cb352a5cc02ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d314f8771046da1298311369ad35232d.png)
(1)已知①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ba570646b7e1e6b7bca27b89c84ec0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46d8278095b122c23f18f895f7b5cc55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21f05de8a00fb81ed6a76c5b6b5a8792.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6dc910a1de3a2b876d303511ae6d1e13.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cad0086651e05c716cec1ba31cf09f1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eed9b69d9c382b99932da0bd3e898dd5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f62e6d5df65308b7915deeee4fc92ad.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cad0086651e05c716cec1ba31cf09f1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0528b213a5f3d7b1b82b88f8a53a9447.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/447ebc6724a21cab522e8f15ed97d456.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74cd1c6ab2a25c5063970a2850f00c47.png)
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【推荐2】已知关于
和
的二元一次方程组![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83e3fde05fad61bf220331da73c917cc.png)
(1)当
时,求该方程组的解;
(2)若该方程组的解满足
,求
的值;
(3)设
,若
,试求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83e3fde05fad61bf220331da73c917cc.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5095a28bb1b91bf6bed9e2cfbd76bb18.png)
(2)若该方程组的解满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4b4d58a6f2856a26cc944d1a824905e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7fce84d9353b61ab3180590bc2805f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/818f9c133219bd58c848f7eba1c1cfd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/595044a7750ab4f84519041979c3d780.png)
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