名校
1 . 已知函数
(
为常数)
(1)定义:区间
的长度为
,若
,问是否存在区间
,使得
时,
的值域为
,若存在,求出此区间长度的最大值;
(2)解关于
的不等式:
;
(3)求函数
在
上的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/145f31dbe54826054f0714a1d3d9b6e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(1)定义:区间
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5e23b42cdffe75e705cf0b24763e862.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13502d46b8563c54c09b29b20b3006a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/711b21672fd907c5c92fee1d649e7003.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e207cf62e3a7e282eac4c4a3455bbf9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8efd722e447c94679c78ad21c873488.png)
(2)解关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46ef3444738ba9d06e0e7ecb1c1a2b81.png)
(3)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0eac2b31a19918895e5af2d316490e7.png)
您最近一年使用:0次
2 . (1)解关于
的方程
.
(2)求关于
的不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/678915cf45f76ff39524b5e13a42df83.png)
(2)求关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a787f7b03d4d37878e94c2f2d3e3c0c.png)
您最近一年使用:0次
2022-03-18更新
|
797次组卷
|
6卷引用:山西省运城市景胜中学2022-2023学年高二下学期3月月考数学(A)试题
解题方法
3 . 解下列各题:
(1)计算:
;
(2)因式分解:
;
(3)计算:
;
(4)计算:
.
(1)计算:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97afd2ce23e0f85ed3996ca93b540a31.png)
(2)因式分解:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12d2e419f1c21c97c6daf276bc057e6c.png)
(3)计算:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5370091eb963c9972e07c028677ea633.png)
(4)计算:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7472962a5a6a338d03ea09f1b4ca625b.png)
您最近一年使用:0次
名校
解题方法
4 . 已知函数
和
.
(1)若
,关于
的不等式
的解集是
.求实数
,
的值;
(2)若
,
,
,解关于
的不等式
;
(3)若
,
,
,对
,总
,使得
,求实数
的取值范围、(注:
表示的是函数
中
对应的函数值,
表示的是
中
对应的函数值.)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38e4c6b0d5d741ba353f3152bc5c4505.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c40a11d16dda3cd4b4d1bc0fdb48520c.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a01404c66529894678a66d3feb0af9c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5f28031b036e4a37be931d5ff28368.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac55d420e554e9a8352c1523a3e0043e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a01404c66529894678a66d3feb0af9c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03837b3769eda7f0d3804cc5ad4a6d60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce3a34d6f60032718820c3da2b07786b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5f28031b036e4a37be931d5ff28368.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5220c9a5175faa6c1f1477279d8faefe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d9ddc1050ff5be4bcefc374f7eb23e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df24cad18bc045b24eac02239ae2e78f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0574468ad50a4dec52e8ba4f540121e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5986bb02575c5371ab8e29f2f1ea5669.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa5f4ebb263923f14d35e7b6df1f1031.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38e4c6b0d5d741ba353f3152bc5c4505.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d06ac9c9c906b995c40f1c8696550148.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c40a11d16dda3cd4b4d1bc0fdb48520c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
您最近一年使用:0次
2021-10-20更新
|
268次组卷
|
5卷引用:山西省实验中学2022-2023学年高一上学期第一次月考数学试题
山西省实验中学2022-2023学年高一上学期第一次月考数学试题天津市第四十七中学2021-2022学年高一上学期第一次月考数学试题(已下线)期中考测试卷(提升)-2021-2022学年高一数学一隅三反系列(人教A版2019必修第一册)(已下线)专题2.4 一元二次不等式恒成立、存在性问题大题专项训练(30道)-举一反三系列(已下线)重难点02 一元二次不等式恒成立、能成立问题【六大题型】
名校
5 . 对于求解方程
的正整数解
(
,
,
)的问题,循环构造是一种常用且有效地构造方法.例如已知
是方程
的一组正整数解,则
,将
代入等式右边,得
,变形得:
,于是构造出方程
的另一组解
,重复上述过程,可以得到其他正整数解.进一步地,若取初始解时满足
最小,则依次重复上述过程 可以得到方程
的所有正整数解 .已知双曲线
(
,
)的离心率为
,实轴长为2.
(1)求双曲线
的标准方程;
(2)方程
的所有正整数解为
,且数列
单调递增.
①求证:
始终是4的整数倍;
②将
看作点,试问
的面积是否为定值?若是,请求出该定值;若不是,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c09e7065aa112872161285c5f3bfc022.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3460cd2f27a53941986606734a9b479a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3282e5fde4ae53fcb1bb072a685304c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a79b9eaa5e7ab7a1e5c512b571914dc8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e145b6046bc80d0ffecc61ac67c87ca1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38ca4e60aab76ce3be3b5ffb9137f163.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ef282595213e6ac1c04b09c8703e176.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e62b8fca47d65828c45fc8e38fe8beb4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99c804f8356fa6120aa13b2d11bfea10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73f33dbb2fc073ae2d62891732e52dc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e31df193bb9a9b93b02f2daa2fb747c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e1e81a0995ee5492c4281539c65bf00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18483c9c195ecd922772527fa85c0fcb.png)
(1)求双曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(2)方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19f3fa0b40fb0d9b8c62e37316ab3b04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adb4c637bd4364a8d3b8d13889befd4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e976c0663fa749ca749f99842d21ca03.png)
①求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba78250f4e67347c7e80c543078d02e6.png)
②将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adb4c637bd4364a8d3b8d13889befd4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52b66d595bfea3722fbc56e2fdccd548.png)
您最近一年使用:0次
解题方法
6 . 高中生的数学阅读水平与其数学阅读认知、阅读习惯和方法等密切相关.为了解高中生的数学阅读现状,调查者在某校随机抽取100名学生发放调查问卷,在问卷中对于学生每周数学阅读时间统计如下:
(1)为了解学生数学阅读时间偏少的原因,采用样本量比例分配的分层随机抽样从这100名学生中随机抽取10名学生,再从这10人中随机抽取2名进行详细调查,求这2名学生中恰有一人每周数学阅读时间大于0.5小时的概率;
(2)用频率估计概率,从该校所有学生中随机抽取10名学生,用
表示这10名学生中恰有
名学生数学阅读时间在
小时的概率,求
取最大值时对应的
的值.
时间(![]() | 0 | ![]() | ![]() | ![]() |
人数 | 20 | 40 | 30 | 10 |
(2)用频率估计概率,从该校所有学生中随机抽取10名学生,用
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef133b0fd53a48310a82c18729575abd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a8d5d8075d36ac21c91c76c8d424c6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b92b0c8a68ae78190ea0d2d3407accf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef133b0fd53a48310a82c18729575abd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
解题方法
7 . 某单位为了解员工的业务能力,组织了一次员工考试,考试分为笔试和面试,笔试包含填空题(共50分)和解答题(共30分),满分80分;面试包含1个口述题,满分20分.已知员工小王在笔试中,正确解答填空题的概率为0.8,正确解答解答题的概率为0.7,正确回答口述题的概率为0.5.假设每道题均是答对得满分,答错得0分,且每类题是否回答正确相互独立.
(1)记小王在本次考核中的成绩为X,求X的分布列和期望;
(2)若得分低于60分就要进行一年的岗位再培训,求小王要进行岗位再培训的概率.
(1)记小王在本次考核中的成绩为X,求X的分布列和期望;
(2)若得分低于60分就要进行一年的岗位再培训,求小王要进行岗位再培训的概率.
您最近一年使用:0次
名校
8 . 随着社会的进步,人民的生活水平逐步提高,金秋时节.公园鲜花盛开,为了让市民有更好地赏花体验,公园开辟出一块
区域用作花卉展示,
,如图所示,以
为坐标原点,建立直角坐标系,弧
是圆
的一部分,圆上的动点
满足到两定点
的距离之比等于
,曲边图形
作为主展区(Ⅰ),梯形
作为副展区(Ⅱ).
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/19/b495f73a-9725-432d-bb2a-0c8c4678508b.png?resizew=157)
(1)求圆
的轨迹方程,并计算主展区(Ⅰ)曲边图形
的面积;
(2)若弧
上的点到线段
的最短距离是1,求直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90141f4c399bcf7dbffaedd91ee66eb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/334528b4f29f9301875430197753b630.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42887d9bf31c1dd99f13c39e63c9ab9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38f23bd7203e1578c9f5249b4fc5f26b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eac97e6740365c85ad857aff85cefbe5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7b4bbd23b2a1ffba33f2bec1495653a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fa7bbd7831e9ff4f8cffc8889d34f05.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/19/b495f73a-9725-432d-bb2a-0c8c4678508b.png?resizew=157)
(1)求圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7b4bbd23b2a1ffba33f2bec1495653a.png)
(2)若弧
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42887d9bf31c1dd99f13c39e63c9ab9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
您最近一年使用:0次
2021-11-23更新
|
81次组卷
|
2卷引用:山西省怀仁市第一中学2021-2022学年高二上学期期中数学(理)试题