解题方法
1 . 已知
,
.
(1)证明:当
,
是
的不必要不充分条件;
(2)若
是
的必要不充分条件,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcf4a9e1c0f6ec7e2455274678514d03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65565690c0ab7c9a9b404520348ca9ad.png)
(1)证明:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e26b38e357c7d985656ba7bb3c794a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
2 . 已知
定义域为R的函数,
,若对任意
,均有
,则称
是S关联.
(1)判断函数
是否是
关联,并说明理由:
(2)若
是
关联,当
时,
,解不等式:
;
(3)判断“
是
关联”是“
是
关联”的什么条件?试证明你的结论.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/424f7073274d2bd132b4e1505f7b3320.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e4c1727e642025874a4a6626722444e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69530f171615d0d6a6fc9dfb8d455efb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdbae93aebd279adb0da856cb3b10a06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed6d804ef44bfc64f824b0ccef71765e.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ff7e39b335e3b5250b7f727e16a4a03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50af11c345056215054f7cfe679939da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff2b53cd9892f6d174509740afbc69d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/712c22cbe31bf46fcd964c8c30bcb660.png)
(3)判断“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ff7e39b335e3b5250b7f727e16a4a03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6c1756b564bf1d998d8179637011c88.png)
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解题方法
3 . 若对
,
,当
时,都有
,则称数列
受集合
制约.
(1)若
,判断
是否受
制约,
是否受区间
制约;
(2)若
,
受集合
制约,求数列
的通项公式;
(3)若记
:“
受区间
制约”,
:“
受集合
制约”,判断
是否是
的充分条件,
是否是
的必要条件,并证明你的结论.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32e837bb2555b79c3374f6c509c8fba5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28652e52c0b02a343e618935ea625cbf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4655fde4835cd6c222b61fb5ae12760e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/511ddbaace089548436eb231cbe3e430.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e4b5779873cb3f4366dbfdb983dec81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/816a059c6e2211380b14f6391b3f2fb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e11f4ca0e7ace69f92130d0525bcdb3.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9671ddc78fb7f1ecbe1b780a1a9b47f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ff7e39b335e3b5250b7f727e16a4a03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(3)若记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6c1756b564bf1d998d8179637011c88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ff7e39b335e3b5250b7f727e16a4a03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
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名校
4 . 用分析法证明:欲使①
,只需②
,这里①是②的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca51be437b1a97ca92aa1159ab71102c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7ca61f5193abf09c5466bce620cc910.png)
A.充分条件 | B.必要条件 |
C.充要条件 | D.既不充分也不必要条件 |
您最近一年使用:0次
2021-08-23更新
|
288次组卷
|
7卷引用:陕西省安康市汉滨区七校2022-2023学年高二下学期期末联考文科数学试题
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5 . 用数学归纳法证明
,
成立.那么,“当
时,命题成立”是“对
时,命题成立”的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c4425beb3d73510fc8f24b15b73db4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c87b351f16728b0023fd63678f8103c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
A.充分不必要 | B.必要不充分 | C.充要 | D.既不充分也不必要 |
您最近一年使用:0次
2020-05-19更新
|
404次组卷
|
6卷引用:上海市华东师范大学第二附属中学2019-2020学年高一下学期期末数学试题
(已下线)上海市华东师范大学第二附属中学2019-2020学年高一下学期期末数学试题2020届上海市宝山区高三下学期二模数学试题(已下线)专题4.5 数学归纳法(A卷基础篇)-2020-2021学年高二数学选择性必修第二册同步单元AB卷(新教材人教A版,浙江专用)(已下线)4.4 数学归纳法-2020-2021学年高二数学课时同步练(人教A版选择性必修第二册)(已下线)4.4 数学归纳法(已下线)考向29 推理与证明-备战2022年高考数学一轮复习考点微专题(上海专用)
名校
6 . 已知无穷数列
,
是公差分别为
、
的等差数列,记
(
),其中
表示不超过
的最大整数,即
.
(1)直接写出数列
,
的前4项,使得数列
的前4项为:2,3,4,5;
(2)若
,求数列
的前
项的和
;
(3)求证:数列
为等差数列的必要非充分条件是
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5edf900c810371fb21297c15f86d8743.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b31ac1def558351e2e3ed1235c570530.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/394d8b602b39602deee15b24181d1786.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4f5908d6a1217e493ed7586b6964dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6812fe767ad55ac33946ca7ac80fa73e.png)
(1)直接写出数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf6ec9a174e3792ce1a40310a21c378b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43f41be870e84c819362787849770519.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e5e69a1736fce183c0227c991c14810.png)
(3)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5c25b07fe756e6c37a703ca4a69fca8.png)
您最近一年使用:0次
解题方法
7 . (1)证明不等式:
,
;
(2)已知
,
;
;p是q的必要不充分条件,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27f078bfe768b5fa21c63e267fb6f38e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff6ca4f85ae2bd2ff3209fd97198ea19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/458e3532d82916aac4f7ad21c10f3f86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2019-09-13更新
|
447次组卷
|
2卷引用:【全国市级联考 】四川省内江市2018-2019学年高二下学期期末检测数学(理)试题