1 . 设
为正实数,若各项均为正数的数列
满足:
,都有
.则称数列
为
数列.
(1)判断以下两个数列是否为
数列:
数列
:3,5,8,13,21;
数列
:
,
,5,10.
(2)若数列
满足
且
,是否存在正实数
,使得数列
是
数列?若存在,求
的取值范围;若不存在,说明理由.
(3)若各项均为整数的数列
是
数列,且
的前
项和
为150,求
的最小值及取得最小值时
的所有可能取值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bde2576b383ae3c851529435805b3adc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/428dccc2ca7913400fd6644fb78de601.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ee7ed704a954d0414be6c3148bd566d.png)
(1)判断以下两个数列是否为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bea0dd7e474bcd04db2544427ba0488.png)
数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed5faff5d08e2976e15f0cec988ced37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
(2)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d765033fa3e470b4b4bae90a28514587.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/585e3a2fda3f7f3b5b484c9113a3c59f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ee7ed704a954d0414be6c3148bd566d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
(3)若各项均为整数的数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d8f894492a8126f5f133dec4cd68833.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1071ac8657ef1c4e1ea7e0530196298d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc94ddf603ec2e0af31695f6654b2d99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b47bfab3010d4aa7e17cd1b54e26c157.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/681ae1522a36768618f7ddaf74abbb7e.png)
您最近一年使用:0次
2023-01-05更新
|
603次组卷
|
3卷引用:北京市丰台区2023届高三上学期数学期末试题
2 . 对于两条平行直线
、
(
在
下方)和图象
有如下操作:将图象
在直线
下方的部分沿直线
翻折,其余部分保持不变,得到图象
;将图象
在直线
上方的部分沿直线
翻折,其余部分保持不变,得到图象
:再将图
在直线下方的部分沿直线
翻折,其余部分保持不变,得到图象
;再将图象
在直线
上方的部分沿直线
翻折,其余部分保持不变,得到图象
;以此类推…;直到图象
上所有点均在
、
之间(含
、
上)操作停止,此时称图象
为图象
关于直线
、
的“衍生图形”,线段
关于直线
、
的“衍生图形”为折线段
.
(1)直线型
平面直角坐标系中,设直线
,直线![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c7712260b9136c187e571f2e52b07ff.png)
①令图象
为
的函数图象,则图象
的解析式为
②令图像
为
的函数图象,请你画出
和
的图象
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/13/8bf8f6d6-91ee-4f7e-acda-5423f6753233.png?resizew=380)
③若函数
的图象与图象
有且仅有一个交点,且交点在
轴的左侧,那么
的取值范围是_______.
④请你观察图象
并描述其单调性,直接写出结果_______.
⑤请你观察图象
并判断其奇偶性,直接写出结果_______.
⑥图象
所对应函数的零点为_______.
⑦任取图象
中横坐标
的点,那么在这个变化范围中所能取到的最高点的坐标为(_______,_______),最低点坐标为(_______,_______).
⑧若直线
与图象
有2个不同的交点,则
的取值范围是_______.
⑨根据函数图象,请你写出图象
的解析式_______.
(2)曲线型
若图象
为函数
的图象,
平面直角坐标系中,设直线
,直线
,
则我们可以很容易得到
所对应的解析式为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/13/70a2b9bc-043f-460f-bbc7-52b4eb8ed5f5.png?resizew=367)
①请画出
的图象,记
所对应的函数解析式为
.
②函数
的单调增区间为_______,单调减区间为_______.
③当
时候,函数
的最大值为_______,最小值为_______.
④若方程
有四个不同的实数根,则
的取值范围为_______.
(3)封闭图形型
平面直角坐标系中,设直线
,直线![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25081197c462bd7f03cc67c35c85593d.png)
设图象
为四边形
,其顶点坐标分别为
,
,
,
,四边形
关于直线
、
的“衍生图形”为
.
①
的周长为_______.
②若直线
平分
的周长,则
_______.
③将
沿右上方
方向平移
个单位,则平移过程中
所扫过的面积为_______.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/011ae6cb0cf49f6d3d19b485dc1cfc22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/011ae6cb0cf49f6d3d19b485dc1cfc22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86fda993d38532293724009685288b72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86fda993d38532293724009685288b72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a12119eba9da5c32568de5832ff04c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a12119eba9da5c32568de5832ff04c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16365b04bc8aa6787782e0aef019342d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47341a477c35b3044c5519ea8404494d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47341a477c35b3044c5519ea8404494d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfc6caaae3d88eaf009ae496d2788134.png)
(1)直线型
平面直角坐标系中,设直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65ba5c616b58eb33dbd5a2690f003f8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c7712260b9136c187e571f2e52b07ff.png)
①令图象
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29e44284cb19805a584880a686ac3df9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/011ae6cb0cf49f6d3d19b485dc1cfc22.png)
②令图像
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29e44284cb19805a584880a686ac3df9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/011ae6cb0cf49f6d3d19b485dc1cfc22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86fda993d38532293724009685288b72.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/13/8bf8f6d6-91ee-4f7e-acda-5423f6753233.png?resizew=380)
③若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a76ba1c1cef5f0e6efdca5e436122412.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/011ae6cb0cf49f6d3d19b485dc1cfc22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
④请你观察图象
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86fda993d38532293724009685288b72.png)
⑤请你观察图象
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86fda993d38532293724009685288b72.png)
⑥图象
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86fda993d38532293724009685288b72.png)
⑦任取图象
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86fda993d38532293724009685288b72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56628de19272fbf3803dfa8d617ba779.png)
⑧若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50683751e9dcd7b55555b53785f61a0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86fda993d38532293724009685288b72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
⑨根据函数图象,请你写出图象
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86fda993d38532293724009685288b72.png)
(2)曲线型
若图象
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02c962d7485825381801f1ebf56a37ec.png)
平面直角坐标系中,设直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65ba5c616b58eb33dbd5a2690f003f8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c7712260b9136c187e571f2e52b07ff.png)
则我们可以很容易得到
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/011ae6cb0cf49f6d3d19b485dc1cfc22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cffe34fde5a4f8ed96b1394acad8b4c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/13/70a2b9bc-043f-460f-bbc7-52b4eb8ed5f5.png?resizew=367)
①请画出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/011ae6cb0cf49f6d3d19b485dc1cfc22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/011ae6cb0cf49f6d3d19b485dc1cfc22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bffc9c4bf9de4d804885955aff039ca.png)
②函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bffc9c4bf9de4d804885955aff039ca.png)
③当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8160ade472b89421f8009fd0cd3926a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bffc9c4bf9de4d804885955aff039ca.png)
④若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a99d3ec153c1dd00d0185bc14b4f56b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(3)封闭图形型
平面直角坐标系中,设直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/239ea6e5fa7672c43a45ebb4c3757370.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25081197c462bd7f03cc67c35c85593d.png)
设图象
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b978a095d4bac4da3a807575d9b35e8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19b62194097ac66a5093c57fca2f5b4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/847fea08d7cb36942bd5028b2cb7707e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fae4febd9d6318cb2cfd23ac9dd2922e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c2c5dbea60dd70fbbeb390c094859cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b978a095d4bac4da3a807575d9b35e8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9fce9427c9b17e4d3cda0c3ff3e2e14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7f2813ee8f26cca880b6427f5f545d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47341a477c35b3044c5519ea8404494d.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47341a477c35b3044c5519ea8404494d.png)
②若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a806c58799f9bac6c601aee7aad5bb8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47341a477c35b3044c5519ea8404494d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd4162c7d09f970cb77cadacdbe521.png)
③将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47341a477c35b3044c5519ea8404494d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79a97bb4dcfab4ec7539bc783d563c49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47341a477c35b3044c5519ea8404494d.png)
您最近一年使用:0次
名校
解题方法
3 . 已知
是函数
的一个极值点.
(1)求
值;
(2)判断
的单调性;
(3)是否存在实数
,使得关于
的不等式
的解集为
?直接写出
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a72f214ed68e41f493db27cb7416f28a.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)是否存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db64b3a1fb036b1e15ecc1420f008013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
4 . 已知函数
,若
,则不等式
的解集为_______ ;若
恰有两个零点,则
的取值范围为_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fa730ab98776b7e45c70e3d468fbc8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a882037b9ce104ecc496e0f31a139361.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4d0cd47609b9d1865dfff4979161cf5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
2022-06-20更新
|
2085次组卷
|
17卷引用:北京东城区2022届高三一模数学试题
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5 . 已知函数
,
(
).
(1)当
时,求不等式
的解集;
(2)若对任意
,不等式
恒成立,求
的取值范围;
(3)若对任意
,存在
,使得
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad6135580e4c4ad48e9f35cd64d85eb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a983e23f11c0fcb5d52be04c24271350.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2725a89d93c791f7a0098f4964587905.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/711b21672fd907c5c92fee1d649e7003.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/635e49a5da8d3d6397713f372bf85402.png)
(2)若对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/635e49a5da8d3d6397713f372bf85402.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)若对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76403d7140eb0fb3942718a3f4532151.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a9ab06b4fb0a1ec1ca4858e587790bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc7082c68f1bfd946d8caade98963861.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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15卷引用:北京市朝阳区2021-2022学年高一上学期期末数学试题
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名校
解题方法
6 . 已知二次函数
同时满足:
①不等式
的解集有且只有一个元素;
②在定义域内存在
,使得不等式
成立.
设数列
的前
项和
.
(1)求
的表达式.![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f53190d6ead827a6338b9de847aeaf1.png)
(2)求数列
的通项公式.![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f62295c36d2e2174908c2bec0eb5b30f.png)
(3)设
,
,
的前
项和为
,若
对任意
,
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/791763c9623e308ca90caa34ac905449.png)
①不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6acb0f1ac694dd177e99fc385f23318.png)
②在定义域内存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d41acc47493556617fe7b9e55093d10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ca3ecbbaca8eeb1cfa8f4035f7d5726.png)
设数列
![](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/715b1b3f29259c51c89e42c08b65d1b5.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f53190d6ead827a6338b9de847aeaf1.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f62295c36d2e2174908c2bec0eb5b30f.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6565e9b4b00e843e93d405b719ce21b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a1ca328915923e9726c4143a0fed064.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e9af55db701e8724494c816bd48bb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd4613271f782a90ab580131d09d03d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
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2021-11-28更新
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456次组卷
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4卷引用:北京市海淀区北京交通大学附属中学2022-2023学年高二下学期期中练习数学试题
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名校
7 . 已知函数
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b30f60c8af51938333c46924bec89d1.png)
(1)若曲线
与曲线
在它们的公共点处且有公共切线,求
的值;
(2)若存在实数
使不等式
的解集为
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6d5ec5d686b88f3558ead72001563cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b30f60c8af51938333c46924bec89d1.png)
(1)若曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4acda6b6464db27e1ec18a1522406d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5905cfcc5af4b01d63237486eb6d295.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
名校
8 . 已知函数
.
(Ⅰ)当
时,解关于x的不等式
;
(Ⅱ)若不等式
的解集为D,且
,求m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebe3576b749d990d9686bbc5dcf37cc6.png)
(Ⅰ)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6c8951e515ff33eb8292e769d146885.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db64b3a1fb036b1e15ecc1420f008013.png)
(Ⅱ)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9c599e8d420006448905acec2b8234.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/186c166f14581082203b070b36cabb52.png)
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2018-07-05更新
|
2472次组卷
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12卷引用:北京市海淀区首都师范大学附属中学2023-2024学年高一上学期10月期中练习数学试题
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11-12高二下·北京西城·期末
9 . 在数列
中,对于任意
,等式
成立,其中常数
.
(Ⅰ)求
的值;
(Ⅱ)求证:数列
为等比数列;
(Ⅲ)如果关于n的不等式![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19d5ae44dc1c623bc027461b18c83309.png)
的解集为
,求b和c的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d737c1047a14cee12a6671383e244fa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d726666f99a5a41dd673a2330e377b17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8c6f4f7b8fd5403c707f4f6562c8312.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8dc57a025dceb6eadd5e8f2dc3b2583f.png)
(Ⅰ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0158862238e250d2a2598b7d4ecd148.png)
(Ⅱ)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76ccab72f42918a08de80f2ed6d8d89b.png)
(Ⅲ)如果关于n的不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19d5ae44dc1c623bc027461b18c83309.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c51476fb83dbc422f60c765a9d5f9afb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db9d5ccff634977c6bd324f28e6da1a8.png)
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