2023高一·上海·专题练习
名校
解题方法
1 .
,下列结论成立的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baca30d4248a82988890bd032d159b25.png)
A.若![]() ![]() | B.若![]() ![]() |
C.若![]() ![]() ![]() | D.若![]() ![]() ![]() |
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2023-11-21更新
|
425次组卷
|
3卷引用:期中真题必刷常考60题-【满分全攻略】(沪教版2020必修第一册)
(已下线)期中真题必刷常考60题-【满分全攻略】(沪教版2020必修第一册)福建省厦门海沧实验中学2023-2024学年高一上学期11月阶段性测试数学试题海南省定安县定安中学2023-2024学年高一上学期期中数学试题
2 . 已知a,
,且
,则下列不等关系中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dd0914dc4d4c7f75710ff460a286fcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca24341509c05e672999202f2df0ebaf.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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3 . 若
,则下列不等式中不成立的是( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca24341509c05e672999202f2df0ebaf.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
4 . 甲、乙两位同学参加一个游戏,规则如下:每人在
四个长方体容器中取两个盛满水,盛水体积多者为胜.甲先取两个容器,余下的两个容器给乙.已知
的底面积均为
,高分别为
的底面积均为
,高分别为
其中
).在未能确定
与
大小的情况下,请给出一个让甲必胜的方案(即指出甲取哪两个容器可以获胜),并说明此方案必胜的理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7db2ca6d163be93b18959beb75ac588b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20ebaa32f4f1f4f807ca9aeb7fb29951.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0a89e3c30f6e4d4c5db4378b05d987.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64289a00d51858f6ee9f51fdc62823de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a476588acbf41d798cc234a52fa21a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/904288bd99217d66013c030bfb99c0c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a11a069688e4c797fcf527eab15afa82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
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5 . 已知
,则下列四个命题正确的个数是______ .
①若
,则
;②若
,则
;
③若
,则
;④若
,则
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baca30d4248a82988890bd032d159b25.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c22b9d08cf536bbb76bce1b0f135772.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432d77fe5ad3032d59a237dd94c8a638.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01690a9d7f823a85b4a1f105372660a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53bbe81995a78abac04c5759eb15820b.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/497d269c30eec393e3f0e877ddbe2983.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20f7ac69134b85339362fffa0765b3e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9eae9ba258299eb489b490594397e23c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3aa23408bcc9f6200f22a310e5f2569a.png)
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解题方法
6 . 若
,下面有六个结论:①
;②
;③
;④
;⑤
;⑥
.其中正确的个数是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca24341509c05e672999202f2df0ebaf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26f7c54faca6eac8af5309942062058d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58dcb5ddd610445426dcf3dc15f252f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cb54b1b3617ebc502cb44194cbcd1dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c13b34c99b942b8dd2cbd88ed017de36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/930602214238856d5ca04498117ad25d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c1fcd391a578a7c7805a0530d048b2e.png)
A.1 | B.2 | C.3 | D.4 |
您最近一年使用:0次
2023-11-07更新
|
131次组卷
|
2卷引用:上海市回民中学2023-2024学年高一上学期期中数学试题
7 . 已知命题:①若
,则
;②若
,则
;③若
,则
且
;④若
,则
.其中真命题的个数为( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/000f7dc8504aa9c589cdc18eeb5e90ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f22fec5a381ae8aca93d876e54c79de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c22b9d08cf536bbb76bce1b0f135772.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432d77fe5ad3032d59a237dd94c8a638.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3019b662e5dc2750bb6f9199d3250f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/143b917df0520097be222accbddf9394.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432d77fe5ad3032d59a237dd94c8a638.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cb54b1b3617ebc502cb44194cbcd1dc.png)
A.1个 | B.2个 | C.3个 | D.4个 |
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8 . 已知点和点
是直角坐标系第一象限内的两个点,定义:若
,则称点
是点
的“上位点”,点
是点
的“下位点”.
(1)试写出点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a5a80ac30da7d9b1d7cbb812a5e2f9f.png)
(2)已知正数a、b、c、d满足:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/069390dd908ff203327958117a226593.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5319504bde1a5a36d6f2277b36deef6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63313f7ac7402fcb5a9a840db64c6f08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/030f39d3e114be61f512b70a11a048ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03c54adebccfbbd0ea20a0dba5723c8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2544bf61d80dcb9d8de5d9a718a0cc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63313f7ac7402fcb5a9a840db64c6f08.png)
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2023高一·上海·专题练习
9 . 若
,则下列不等式中不成立的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca24341509c05e672999202f2df0ebaf.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
10 . 设
为实数,现有下列命题:
①若
,则
;
②若
,则
;
③若
,
,则
;
④不等式
与不等式
等价;
其中的真命题有_______ .(写出所有真命题的编号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62ff2912fd8d93b6e692936d95b727c5.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6a46e678bf9d2df5ad4c782b3dc22f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7db7ac1ffe21adaaee6db2d0189de7e6.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca24341509c05e672999202f2df0ebaf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec8201ff29a2091d40eee10db6bbc1f2.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a0c4c098615c6bc7e6dcf72e5b5201a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d89ab55ffb93cc48f077b542dbd25aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0dfded1758cbd9a49da73deaa741609.png)
④不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432d77fe5ad3032d59a237dd94c8a638.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54969adfe007f7dacf556c4c863670b9.png)
其中的真命题有
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