20-21高二下·浙江·期末
名校
1 . 设函数
,其中
.
(Ⅰ)若
,当
时,求证:
;
(Ⅱ)若不等式
在
上恒成立,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b57f23b3c567178a506f1f0912912339.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bea7c4a47b13dc16f32ac25ef1671a65.png)
(Ⅰ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/055812561966db6f35515cc40e1b486f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2fb40a36a293471742ce75f6b9635b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860e8613ada46993a95165deb30493b5.png)
(Ⅱ)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43920f5171ed31db2520ef00e4c5fc24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aeb49dbba01c4ff5f686ffc8828351b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16e009c5b9472aa67ccd467112805e29.png)
您最近一年使用:0次
解题方法
2 . 已知函数
.
(1)若函数
在
上存在两个极值点,求
的取值范围;
(2)当
时,求证:对任意的实数
,
恒成立.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c739e789d615607e36cf0158f862c998.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afa482d7bcaa385bfc3548b42a4bfb60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba317690c72a1d29babd8c6d303b0eaa.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f883172d7697efc0269788a819399ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/790daaa89fc9d093f45023becf765697.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cc9d77d4ce6e22e052caf4af914ebcb.png)
您最近一年使用:0次
解题方法
3 . 已知
,其中
.
(1)当
时,证明
;
(2)若
在区间
,
内各有一个根,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/731d05aef22f76c7bab7568c6dd329ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afa75214fbc54e77127504fd93dacdd5.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78bed7c79dfceeb96fd71ee38888d7af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11251ea4f5a777a9231546090e9817af.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3047d4ab078dafc06c047bcbf0a6ffaf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f99bddac58806e0024a1268378fe53d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/972cfd3677c0f6342a57d3ab58cf0356.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaacfaef44a654c0a1c283ef03fc0550.png)
您最近一年使用:0次
4 . 已知点
是区域
,
内的点,目标函数
,
的最大值记作
.若数列
的前
项和为
,
,且点
在直线
上.
(1)证明:数列
为等比数列;
(2)求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82a79a33a83a7ba57a34b5093d1d1d02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b8878c7e02b499c6d9d5d3537e4a5de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67562676712ed19ff770738792ce6023.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75407f5349719aba26f58213459793eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9dc4e868a310c371ff88075d8a966a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.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/aab9e419c8776e736119168cd3c46f51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c6befd7218acfe7f6afa9cde0bcbe3b.png)
(1)证明:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c7d94406136605c5bc9cd9295d6c9fa.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/846fa57d92d6ad44d6a0cafad1e71ed4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
您最近一年使用:0次
2016-12-04更新
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1438次组卷
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2卷引用:2015-2016学年湖南省衡阳八中高二下学期第一次月考文科数学试卷