1 . 阿司匹林(分子式
,分子质量180)对血小板聚集的抑制作用,使它能降低急性心肌梗死疑似患者的发病风险.对于急性心肌梗死疑似患者,建议第一次服用剂量300
,嚼碎后服用以快速吸收,以后每24小时服用200
.阿司匹林口服后经胃肠道完全吸收,阿司匹林吸收后迅速降解为主要代谢产物水杨酸(分子式
,分子质量138),降解过程生成的水杨酸的质量为阿司匹林质量的
,水杨酸的清除半衰期(一般用物质质量衰减一半所用的时间来描述衰减情况,这个时间被称作半衰期)约为12小时.(考虑所有阿司匹林都降解为水杨酸)
(1)求急性心肌梗死疑似患者第1次服药48小时后第3次服药前血液中水杨酸的含量(单位
);
(2)证明:急性心肌梗死疑似患者服药期间血液中水杨酸的含量不会超过230
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dac7bf7ba2db0fd1143b1d51e381fd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/260c686e89023f3f7d2879e70fca0605.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/260c686e89023f3f7d2879e70fca0605.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ac54805982e3b5d68309b106be01176.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5744217027ca031a07632d9678d1f213.png)
(1)求急性心肌梗死疑似患者第1次服药48小时后第3次服药前血液中水杨酸的含量(单位
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/260c686e89023f3f7d2879e70fca0605.png)
(2)证明:急性心肌梗死疑似患者服药期间血液中水杨酸的含量不会超过230
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/260c686e89023f3f7d2879e70fca0605.png)
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2022-05-02更新
|
349次组卷
|
3卷引用:重庆市五校2022届高三上学期10月联考数学试题
重庆市五校2022届高三上学期10月联考数学试题浙江省杭州地区(含周边重点中学)2021-2022学年高二下学期期中联考数学试题(已下线)专题09 数列的通项公式、数列求和及综合应用(9大核心考点)(讲义)
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2 . 下列说法错误的有( )
A.直线![]() |
B.直线![]() ![]() ![]() |
C.方程![]() ![]() |
D.直线 ![]() ![]() ![]() |
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3 . 已知对应关系
:
,
,
,若
,则在
中的对应元素是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca4ff0af96ea467337cb30c4c765b5f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5017b5ff5718d4106d4ef1b735d0a761.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84ae23cf6a2823451f9676220b32c782.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0f675eefeacfddb5098894bbe2fcd0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
A.15 | B.17 | C.![]() | D.![]() |
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4 . 关于x的不等式
-1
0(其中x
Z,a
)的解集中元素的个数可能有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53141443ca425e4d7682f3b934dd9b9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8536a5ebd76f494c03019086506d8e6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a02d44492b51b0e08208fdc0d1707025.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90624f26f998fab1360edab991551904.png)
A.![]() | B.![]() | C.![]() | D.无数个 |
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2022-03-28更新
|
335次组卷
|
3卷引用:重庆市西南大学附属中学校2021-2022学年高一上学期期中数学试题
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5 . 给出下列说法,其中正确的是( )
A.若![]() ![]() ![]() ![]() |
B.若![]() ![]() |
C.若![]() ![]() ![]() |
D.若平面![]() ![]() ![]() ![]() |
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6 . 已知空间的一个基底为
,且
,
,且
的横坐标为正数
(1)求
的坐标
(2)若向量
,且
,求
的值
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eefecfc5309086fed04e5e9416065b77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e0f38df4dc0ae40e68190b996ec0a7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c6083cab6f086cb7e359dde10f3f1e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/decd249634d157b89dd35ece5d3ceea9.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/decd249634d157b89dd35ece5d3ceea9.png)
(2)若向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de49a6b66640c63f2c3d405b44bacc15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9caa26df2493e3d4674d6a44f7ed130e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da3d933c0633f58a2268e692d888faf5.png)
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7 . 已知点
在
轴上运动,点
在
轴上运动,点
,动点
满足![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62fe86135604a9251c648e02c3a0dac1.png)
![](https://img.xkw.com/dksih/QBM/2022/2/7/2911129309782016/2945848951685120/STEM/82d526bb-8ccf-4943-a20f-e5baacd471bf.png?resizew=139)
(1)求动点
的轨迹
的方程
(2)已知点
,其中
,过点
作直线
与轨迹
相切,其中
为切点,
在
轴左侧
①求证:直线
过定点
②令
的面积为
,
的最大值
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b0ce0baed32ac721581e8fb22d90549.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62fe86135604a9251c648e02c3a0dac1.png)
![](https://img.xkw.com/dksih/QBM/2022/2/7/2911129309782016/2945848951685120/STEM/82d526bb-8ccf-4943-a20f-e5baacd471bf.png?resizew=139)
(1)求动点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/441e38f103efb8bae13554f983d9ba65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efe1a09ce977033069103a7332c76361.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3834d7ec7531f3c3c0ce9b286f7a49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9958024ac665c076ba7d0c7e12d3710.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ae6f48b9a53c0155a692509cf31f7e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
①求证:直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
②令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38f209ad666b053f811962adec79aff3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/093a13e480e754290ecb58fa60769fdc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/021cd312ca84af7e9064dc8ef2ad107a.png)
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8 . 下列说法正确的是( )
A.若![]() ![]() |
B.![]() ![]() ![]() |
C.![]() |
D.若![]() ![]() |
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解题方法
9 . 重庆市第十一中学校的学生社团活动丰富多彩,在数学志趣小组活动中,学生对所学的数学知识进行提升活动,对于绝对值的概念:
,
为复数集,
(
),当
为实数(
)时,
;当Z为虚数时,
.对于二项式:
(
),有
,对于
,则有
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dc9487916499041e1599f51fc8259e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4da2dde5a8123f20fd9950b98b709b8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/773ca22fc12ade9e60dbc749ba5cfa73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8b9ad2fcfff3dd546c5fdbedfe6238.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/143b917df0520097be222accbddf9394.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e79f28664b6ef74c18bfb0493ad15cd7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e61a893368902549cd6ea90864f49271.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cdfdfc4140f265a94dbdf732c3af425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36b98ef143f8159f3a7dafa1fd2f2370.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/920c47210a332bfd4d7b9a9845929c01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b877f96b7f2fe614987ecf22b4fa693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5240581daeb313deb333d4615167eb31.png)
A.![]() | B.![]() | C.![]() | D.1 |
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10 . 对于定义域内的任意
,存在常数
,使得
恒成立,则称
为函数
的周期,下列命题正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7eecacbdc5c2a7e7ac00daea8c448098.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d7c7b4934410a1727fe7024a6bd740f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
A.![]() ![]() |
B.![]() ![]() |
C.![]() ![]() |
D.![]() ![]() |
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