名校
1 . 对于函数
和
,给出下列四个结论:
①设
的定义域为
,
的定义域为
,则
是
的真子集.
②函数
的图像在
处的切线斜率为0.
③函数
的单调减区间是
,
.
④函数
的图像关于点
对称.
其中所有正确结论的序号是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0876376d0abc78d4ad8c5bbc597bde35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df5c5c59bc2375e93325755a09e40d77.png)
①设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
②函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
③函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad2edd8edcb21bd41584daf9bb95a5c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccfdd3d02b54e997cbec983d80f6bafd.png)
④函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50b6da436d60628bd762f3c3d9114938.png)
其中所有正确结论的序号是
您最近一年使用:0次
2022-06-06更新
|
1197次组卷
|
6卷引用:北京大学附属中学2022届高三三模数学试题
北京大学附属中学2022届高三三模数学试题(已下线)考向06 函数的奇偶性与周期性、对称性(重点)(已下线)专题13 导数及其应用北京卷专题10函数及其性质(填空题)北京卷专题11B指对幂函数北京卷专题12导数及其应用(选择填空题)
2023高三·全国·专题练习
2 . 已知
,若
,且
的最大值为
,则函数
的最小值为______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e847d95cb05323eb611f1d63b5213a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d51f82e3f27a4598b1584eb102fd2c0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b88584cf1df43e28d03592c7998b1653.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5991e9ec7666f533a528a4173c58f0ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cbb6ea2db1a9c8e9c7a7640f100f75a.png)
您最近一年使用:0次
解题方法
3 . 已知
,
,现有如下说法:①
;②
;③
.则正确的说法有______ .(横线上填写正确命题的序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2eb4a2d342b5210b2a7f66c87b92caee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee38aaef3d774f1f3ec9feec48719a6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0efa8c67c04d16b7e2d20f9fd90264ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06ba5f6d6fd74616791ca9634c0ac55d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/436bd161a549d55e748a72d95f71ea8c.png)
您最近一年使用:0次
名校
4 . 记
的减区间D,则
在
上的值域为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9451399d20d86e9cd1604ee2d3884be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8324442d24bf4af8a4ad4e2a903f7e59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e02cab1add26335b3cb43d5b54c7c853.png)
您最近一年使用:0次
名校
解题方法
5 . 在函数y=3x图象上有A(x1,t),B(x2,t+3),C(x3,t+6)(其中t
3)三点,则△ABC的面积S(t)的最大值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e119c508fd265e3e3d78749e54fe4f43.png)
您最近一年使用:0次
2022-11-21更新
|
311次组卷
|
2卷引用:浙江省杭州学军中学2022-2023学年高一上学期期中数学试题
名校
6 . 已知数列
,
(其中[x]表示不超过x的最大整数,n∈N且n≥1),
是关于x的方程
的实数根,记数列
的前n项和为
,则
的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b66648112041eb01069985250f49e7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3282e5fde4ae53fcb1bb072a685304c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2147cdb7c47327b9a8e3274df089aec.png)
![](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/4260c446924ddcb2a646471d150fa70c.png)
您最近一年使用:0次
名校
解题方法
7 . 已知
,且
,若
,且
,则实数
的取值范围为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f57d2200907883bd1778b7b65492ac80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/730c91234bac2eb9e3f508eac8a323be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3538c7b7aa12ff28d4d06ab400ebaaad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70b0be61d84d687fcb7ccd466bb7a465.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
名校
解题方法
8 . 某校学生在研究折纸实验中发现,当对折后纸张达到一定的厚度时,便不能继续对折了.在理想情况下,对折次数
与纸的长边
和厚度
有关系:
.现有一张长边为30cm,厚度为0.01cm的矩形纸,根据以上信息,当对折完
次时,
的最小值为_____ 该矩形纸最多能对折_______ 次.(参考数值:
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/175c98b20a98dd4c173baef00fa88487.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4da6a52e3eb6cef810c7770b8e53fdcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfe19b7ae9ef3fd8658f4caeca615198.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec312e6adbe7f0d27f810fe7724acc3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8193b7ecef7428934780ba9780609474.png)
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2021-10-10更新
|
362次组卷
|
3卷引用:山东省潍坊市2021-2022学年高三上学期10月阶段性检测数学试题
名校
9 . 函数
的定义域为
,若对任意的
,存在唯一的
,使得
,则称
在
上的“特征”为4,给出下列函数:(1)
,
;(2)
,
;(3)
,
;(4)
,其中“特征”为4的函数的序号是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24600bfcfb91c661eb9d237956e011ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5055148abab017e134067bc13b5aa9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35a7fedc5cfa5db6822c258c9bca5926.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/590eeefa9b43063edc41ac94f5e02956.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bee0b99bee32c11e5516c599ac3ae272.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/267e6d77aabbebe52e7aca993368d874.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c5ae253d639a0e601a60ab23d180451.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53b61608d785aa5aab652b78217b1708.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ccaa6e503b61e9ae78d8439cba2e328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73f25b3688673a3695d21c6201c1fb9b.png)
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名校
10 . 当![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
____ 时,在
上,函数
单调递减(填一个符合要求的数即可).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78b12f2ff24c52fded1dfd0f0b6940a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92ec67f4e05365d49337899f9bacc94d.png)
您最近一年使用:0次