名校
1 . 土壤是自然界中最大的生态系统,具有十分重要的作用.利用绿色化学药剂来降低土壤中的重金属含量是改善土壤环境的一项重要工作,若在使用绿色化学药剂降低土壤中重金属含量的过程中,重金属含量
(单位:
与时间
(单位:
)满足关系式
,已知处理
后,重金属含量减少
,则( )
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b72045c4dfd00534d846aa8a4a30e8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1933311c0c090e1138e4dd388b7adf8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00a55c8261ceaa949d76177fdfa0efdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b29f60fc3d32ca94740f0adf3fd0b53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8ee628efd6b2f7296c106dd5cbae42f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/170b2e2eac5c81d120be3468a2ccddd8.png)
A.![]() | B.![]() ![]() |
C.使土壤中的重金属含量减少一半需要处理约![]() | D.函数![]() |
您最近一年使用:0次
2024-05-06更新
|
383次组卷
|
3卷引用:江西省2023-2024学年高三下学期4月联考数学试题
2 . 某市A、B两地之间相距60千米,如图所示,有一条直线铁路经过
地,测量得
地距离铁路48千米.现要在A、B两地之间运送货物,计划从铁路沿线上的
处修筑一条直线公路通往
地,已知公路的运费是铁路运费的2倍,铁路运费为每千米100元,问
点选在何处时可使总运费最少,最少是多少元?
![](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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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3 . 给定集合
,若集合
,且对集合
中任意两个元素
、
,不妨设
,都有
或
,则称集合
具有性质
.假定集合
满足形式
,则具有性质
的集合
中的最小元素![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bbb27a21cea9706f1d7688dc8c9f352.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9533c90de1b697cc9e78adaf134fb972.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9d0d79fd0efdb59c9ca65bfae4a0861.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](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/2b21208364124b5c477b2ff8df1c2e8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f68a3f6fa83a180dd6cc40e227df87b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7c9158f76cef11b05915874095d22c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acde89240882f0af5169847117b9df77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bbb27a21cea9706f1d7688dc8c9f352.png)
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4 . 2013年11月第十八届三中全会于北京召开,会上指出我国社会保障事业全面推进,已基本建成覆盖城乡的社会保障体系.2012年末,全国参加城镇职工基本养老保险人数30426.8万人,比1989年末增加24716.5万人.假定城镇职工基本养老保险人数的年增长率保持不变,再经过5年(不考虑其他因素),该人数最接近( )亿人.(注:
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0fa97d6a7640a85255ad45a695efe4c.png)
A.3.5 | B.4.5 | C.5 | D.6 |
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5 . 我们称数集
为数域
,当且仅当数集
中的任意两个元素经过加法、减法、乘法、除法(除数不为0)四则运算后,其运算结果仍在数集
中,则下列数集能称作数域的是( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
A.自然数集 | B.整数集 | C.有理数集 | D.无理数集 |
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6 . 当
为何值时,不等式
恰有一个解.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/399e7902cf319a4ecc40aebda074eda4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e17a1c30f62f3dce43df74c310679a5.png)
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解题方法
7 . 有些计算机对表达式的运算处理过程实行“后缀表达式”:运算符号紧跟在运算对象的后面,按照从左到右的顺序运算,如表达式
,其运算为:
,
,若计算机进行运算:
,那么使此表达式有意义的
的范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7169060665d61a1e939709ff0e9c2705.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d454609ea7fc2c00055cf7af81273c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d4cd9a7068de096606d1ab991f5e6da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dee97bee487c4e8b56848b4eb98ee2c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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8 . 已知集合
、
,
,若满足
,则称集合
为正序集合,
,若满足
且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cddf5a3a5b55043f5f08c91c821fcf72.png)
,称集合
为波浪集合,若
,则称集合
为正序集合
的波浪集合.如正序集合
的波浪集合为
.已知正序集合
,则集合
的波浪集合的个数为( )
![](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/da789bf1d330f0fd9060e14fe30af393.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55faf5a2518cfafbd16cd54542a16568.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbb4a0475eeaf8f3c163712c0ffc6aeb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39b08e18d4cff5287425ec1ebb74cede.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cddf5a3a5b55043f5f08c91c821fcf72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c8540d30ff822582b9f942f45a71d0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46a70d32c64918aa4d1d9d3ce0bdbf7b.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/b26bbb11e932ddb26a9088e7fc33e87b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f51bdfe12a443002d2eb220c4f74a7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4677f5df67e9727194c888a71e1727e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.13 | B.14 | C.15 | D.16 |
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9 . 对
,定义符号函数
:当
时
;当
时
;当
时,
.记点集
,点集
,点集
围成的区域的面积为______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5341631cc2c6c07404fd05cfd5f6542a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1896f977c8276c08e3cc881724a14256.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e541ea2f855f981c96207070683d388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff04454d9182598682e1371d749ca35b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb45f673c56a289ea78831c9237e8d20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a6363a88ca7ac2a145b3d924d4b1379.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18bb3252086e273b9eb3f017811b2ae7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fb738374fe3bcb30d9d7f250298c8c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
您最近一年使用:0次
解题方法
10 . 如图,三个机器人
和检测台
位于同一直线上,三个机器人需把各自生产的零件送到
处进行检测,送检程序规定:当
把零件送到
处时,
立刻自动出发送检,当
把零件送到
处时,
立刻自动出发送检,设
的送检速度为
,且送检速度是
的2倍,
的3倍.
把各自生产的零件送到检测台
处的时间总和;
(2)现要求
送检时间总和必须最短,请你找出检测台
在该直线上的位置(
与
均不重合).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d75193c2de6968a93cf0bffc2f77f807.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b104090ea2ac34be58a76a4e0e95cb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7df1d9b712b639c8b6809c9f3ae03706.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7df1d9b712b639c8b6809c9f3ae03706.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32efe4eff75508cb93e828c735dcb695.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7df1d9b712b639c8b6809c9f3ae03706.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc13a607ac0c7f76d252d7cb1bb040fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b104090ea2ac34be58a76a4e0e95cb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32efe4eff75508cb93e828c735dcb695.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71e05f91d7c92d26dc2ed37c4b4f6369.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)现要求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71e05f91d7c92d26dc2ed37c4b4f6369.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71e05f91d7c92d26dc2ed37c4b4f6369.png)
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