名校
1 . 设
,
,
.若
,
,则
最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/788aae9a4a76cfe31bdbd599f477f944.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d33da711e50e96568facb18cef27165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/731bdc8d2686a05f12a2ba8a7e3b01be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e174b2cc64d59325e30cea8301f813b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e0d463a037f21d43ce9fb879a226923.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16f0b84ee4ed90face0993d4f4dda379.png)
A.2 | B.![]() | C.1 | D.![]() |
您最近一年使用:0次
名校
解题方法
2 . 已知
,
,
,则三者大小关系为________ (按从小到大顺序)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23fdb560c7313628bd027a9c40f100ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31a942b177b2126602a515359bfe4449.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ff52cb77bc96e5b391d0bd06b05bde6.png)
您最近一年使用:0次
真题
解题方法
3 . 已知
,
是函数
的图象上两个不同的点,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a05181414c221b7c7ce0d72fa3c7125.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a8fd6e8a27cf393cb3894aba173dc9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90881c8738b1298210fa761f789a55db.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
真题
解题方法
4 . 生物丰富度指数
是河流水质的一个评价指标,其中
分别表示河流中的生物种类数与生物个体总数.生物丰富度指数d越大,水质越好.如果某河流治理前后的生物种类数
没有变化,生物个体总数由
变为
,生物丰富度指数由
提高到
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16ceb72fdd63a4eff2a8a93341ca11ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ca2aaf8467414eae3a112880a88e05f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7688363f5ffff23a6193c7a8eee501c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5815cc29f60d2aa538c4dd30e0803a4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5ec3a7c6c2589f27767e86a452d75aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27dd27c77f064509e59c4bb6a1d45076.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
7日内更新
|
2250次组卷
|
4卷引用:2024年北京高考数学真题
名校
解题方法
5 . 已知函数
,
.已知直线
分别交曲线
和
于点
,
,当
时,设
的面积为
,其中
是坐标原点.
(1)写出
的函数解析式;
(2)求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdc873fc03e6e4d3c4ba02f8b1147b20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bffdaf6ce8c6055355f8904726b311df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54b53b86bd516400d6fa7dabb3603f31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.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/eb095e9f5abae37f91650bb8d751a977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9768bacd90ba3b23403f0449c44e822.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
(1)写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9768bacd90ba3b23403f0449c44e822.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2c5fa083eac41ccb4bc9582d2aa978e.png)
您最近一年使用:0次
解题方法
6 . 设函数
的定义域为
,对于函数
图象上一点
,若集合
只有1个元素,则称函数
具有性质
.下列函数中具有性质
的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23b4f86e48e2b0d63c1865c60ed1e4d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a901ef0e56e25ddffbda301652ca403.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f4220560ed0c8cbe694e6e6e35260af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2708fa6298e52f617383efc175b71ddc.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
7 . 已知各项均为正数的数列
的前n项和为
,
,
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9929b2c431efa5c39a4e263934217a6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f093c61867ee4ce75f951d46b9b123.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc4e70b360f988fdbd92300ab22c4613.png)
A.511 | B.61 | C.41 | D.9 |
您最近一年使用:0次
2024-04-22更新
|
1671次组卷
|
2卷引用:北京市顺义区2024届高三第二次质量监测数学试卷
8 . 设
,则
的大小关系为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f596341e4ab270760812b5fad92fa30e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
9 . 德国心理学家艾·宾浩斯研究发现,人类大脑对事物的遗忘是有规律的,他依据实验数据绘制出“遗忘曲线”.“遗忘曲线”中记忆率
随时间
(小时)变化的趋势可由函数
近似描述,则记忆率为
时经过的时间约为( )(参考数据:
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48a81aafa3251cdd53bf407f2ea5e65d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9eb5ead0db01fc4961b16e85199424ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/694613e148bb635b86e6a67bc755cdf3.png)
A.2小时 | B.0.8小时 | C.0.5小时 | D.0.2小时 |
您最近一年使用:0次
名校
10 . 当药品
注射到人体内,它在血液中的残余量会以每小时25%的速度减少.
(1)按照医嘱,护士给患者甲注射了
药品
两小时后,患者甲血液中药品
的残存量为
,求
的值;
(2)另一种药物
注射到人体内,它在血液中的残余量会以每小时10%的速度减少.如果同时给两位患者分别注射
药品
和
药品
,请你计算注射后几个小时两位患者体内两种药品的残余量恰好相等.(第(2)问计算结果保留2位小数)
参考值:
,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(1)按照医嘱,护士给患者甲注射了
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7428057b4757de6d1d510712f01465e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55354a714cdf174cf4ebd43a2f041bbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)另一种药物
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc2baea0d7b4cae52246ff279a41e460.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/618c8bb0c6e025b11eeb7da738183d1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
参考值:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a49dc2827f437b3a1e7cbc25c680093c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51988fef1f0ae3f710f36865834790e5.png)
您最近一年使用:0次