名校
1 . 已知
,
.
(1)求方程
的根的个数;
(2)证明:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2f9c3edab21bca58636372a006d9498.png)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1da9aa9c7764d416d2b01f78d3e13ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9322dd8f56b5f8d2c667fdf0d4a9f9aa.png)
(1)求方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/703240220f321f5d3b46395e7db9cd0e.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2f9c3edab21bca58636372a006d9498.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c5f58ad9080f2ca1a38fa92ac959c52.png)
您最近一年使用:0次
2 . 已知函数
,
.
(1)若
是函数
的极小值点,讨论
在区间
上的零点个数.
(2)英国数学家泰勒发现了如下公式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/238464d36f5126218d38da89d6377d09.png)
这个公式被编入计算工具,计算足够多的项时就可以确保显示值的精确性.
现已知
,
利用上述知识,试求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ead8ec92e5e3f165c2161303d4332280.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/976581d4a974fe50f9f29d430c1289f2.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb45f673c56a289ea78831c9237e8d20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9781358e564f32054081a7e0b67fc936.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc7c63dc2c3e8af0464896f4494a7822.png)
(2)英国数学家泰勒发现了如下公式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/238464d36f5126218d38da89d6377d09.png)
这个公式被编入计算工具,计算足够多的项时就可以确保显示值的精确性.
现已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69de4a53bad8f1bec8225630cf1840e7.png)
利用上述知识,试求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1beecc23413fd201f69ccc4525cf0e85.png)
您最近一年使用:0次
名校
3 . 在平面直角坐标系中,抛物线
与
轴分别相交于
两点(点
在点
的左侧),与
轴相交于点
,设抛物线
的对称轴与
轴相交于点
,且
.
(1)求
的值;
(2)将抛物线
向上平移3个单位,得到抛物线
,设点
是抛物线
上在第一象限内不同的两点,射线
分别交直线
于点
,设
的横坐标分别为
,且
,求证:直线
经过定点.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/850052d1b76efcb72b6dd236405b2158.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20ebaa32f4f1f4f807ca9aeb7fb29951.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/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.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/d07b3571ce1b8bb4e41285b668a279ce.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)将抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13dea1bd3d0dd84b8b6f6ff634c5600c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9f5f4ad0caac5a0fecb64f3908d2290.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13dea1bd3d0dd84b8b6f6ff634c5600c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3ab53bfd448dd63a52a710900cf474e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd24f3c4bc9f9a75d4b28630bb630d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/584aa3ab6160d92286cff2dc6a6c0ed0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/584aa3ab6160d92286cff2dc6a6c0ed0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60e81e3046baebc75ff78f7e2a76015b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42a0cb8e361b1e0bbccfdfa8950f0bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
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名校
解题方法
4 . 如图,城市
正东的
地有一大型企业,
、
之间有一条
公里的普通公路相连.为了发展当地经济,减轻城市交通压力,经过
地新修了一条高速公路,且在
地设置了高速出口,现准备在
、
之间选择一点
(
不与
、
两点重合)修建一条公路
,并同时将
段普通公路进行提质.若
,且
公里,公路
的建造费用为每公里
万元,
段公路的提质费用为每公里
万元,设
公里,且公路
、
均为线段.
![](https://img.xkw.com/dksih/QBM/2022/3/19/2939823978029056/2941213481164800/STEM/4877e071122944888c90033e2ede41f6.png?resizew=260)
(1)求公路
与
的费用之和
关于
的函数关系式;
(2)如何选择点
的位置,可以使总费用
最小,并求出其最小值.
![](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)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0efba7147f5b9ced8bc4a72f0a9fb8af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.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/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.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/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d97dc3b752832906de41447bb58a341.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f12cacb8b66100d800356b2ba0b0df6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea4afe24130d97c9cbace22a10b2f292.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b72ac611ae66b86761e080761d9aabc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d97dc3b752832906de41447bb58a341.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49e60fbe6820130fb20abc555a94b5ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bb5d3188f00ae5cff804ab0f6170cae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://img.xkw.com/dksih/QBM/2022/3/19/2939823978029056/2941213481164800/STEM/4877e071122944888c90033e2ede41f6.png?resizew=260)
(1)求公路
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d97dc3b752832906de41447bb58a341.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)如何选择点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
您最近一年使用:0次
2022-03-21更新
|
474次组卷
|
5卷引用:湖南省天壹名校联盟2021-2022学年高二下学期3月大联考数学试题
湖南省天壹名校联盟2021-2022学年高二下学期3月大联考数学试题(已下线)数学建模-用料最省问题黑龙江省实验中学2023-2024学年高三上学期第一次月考数学试题河南省实验中学2023-2024学年高三上学期第一次月考数学试题(已下线)河南省实验中学2023-2024学年高三上学期第一次月考数学试题变式题19-22
21-22高二·湖南·课后作业
5 . 根据所给的运动方程,先写出物体在时间段
和
上的平均速度,再让
趋于0,求出它在
处的瞬时速度.
(1)
;
(2)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6377f1d1776f7cac209a085b5cae7a8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/184257f6837c4cc195c46e441de57414.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59d725bd2ddf9af8dcad6ba35699182c.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88006a81b1cb6de81b33f2ece298c33e.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5acc98b6159894cde94a7470e8ec89a8.png)
您最近一年使用:0次
21-22高二·湖南·课后作业
6 . 正方形的边长
变化时,其面积关于
的变化率是正方形周长的多少倍?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
您最近一年使用:0次
21-22高二·湖南·课后作业
7 . 某容器里装有1 L纯酒精,如果以0.1L/s的速度往容器里注水,求酒精浓度在t时刻的变化率
您最近一年使用:0次
21-22高二·湖南·课后作业
8 . 一条水管中流出的水量y(单位:m3)关于时间t(单位:s)的函数为f(t)=t2+7t+15(0≤t≤8).计算2s和6s时,水管流量函数的瞬时变化率,并说明它们的实际意义.
您最近一年使用:0次
21-22高二·湖南·课后作业
9 . 已知某化学物质在溶液中反应时的浓度随时间变化而变化(温度不变),下表记录了某温度下该化学物质在溶液中反应时不同时刻t的浓度
.
试根据上表求下列时间段内的平均反应速率:
(1)
;
(2)
;
(3)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daccc0433b8d38fe996e73f8ee5edf7a.png)
t | 0 | 2 | 4 | 6 | 8 |
![]() | 0.0800 | 0.0570 | 0.0408 | 0.0295 | 0.0210 |
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08f206dbfae6cca5d290be7aeb8ee7cd.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/849c17bd6fd63b1ca11138e55dd1544d.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00a154f4289a1412cd49e9b286ae1be6.png)
您最近一年使用:0次