名校
解题方法
1 . 定义在
上的函数
,其图象与水平直线
的交点从左往右分别记为
.若
,则
的取值范围是_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d65bdc820ab87b9a7909d2be591abec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74bf11a2546f764640e4c9ee43cec8ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4ff39dd1dfc9caf911ad0d11ba21d66.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41386b1f8daa54e38ad2c7f11279d2a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8568ff6401d7f8fdcef70270698d76a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
您最近一年使用:0次
解题方法
2 . 数列
共有11项,前11项和为
,且满足
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b87df689b605e7a283b56d454c3736a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/287677857a72608594f7202d06680991.png)
A.![]() |
B.![]() |
C.所有符合已知条件的数列![]() ![]() |
D.符合已知条件且满足![]() ![]() |
您最近一年使用:0次
3 . “
数”在量子代数研究中发挥了重要作用.设
是非零实数,对任意
,定义“
数”
利用“
数”可定义“
阶乘”
和“
组合数”,即对任意
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a95f14cc089b8615edde195eb449b48b.png)
(1)计算:
;
(2)证明:对于任意
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d17cd22aac1f1f0f8acb1d0b67bb2c7.png)
(3)证明:对于任意
,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d774d4ac2fb5da679ac23e0dea64da0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6724c68c4206bd95683998d800f7f676.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d774d4ac2fb5da679ac23e0dea64da0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0dee336ed12a9b1b273d7fada509737.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d774d4ac2fb5da679ac23e0dea64da0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d774d4ac2fb5da679ac23e0dea64da0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3361528cb2e9a12d35acc0381e12564.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d774d4ac2fb5da679ac23e0dea64da0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dba6a7ab114b2a921dd1099e90c8bda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a95f14cc089b8615edde195eb449b48b.png)
(1)计算:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d61962da2ebd6382d99cf5f1232c7de.png)
(2)证明:对于任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/110cb021ccb99d1a30025c66b026812b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d17cd22aac1f1f0f8acb1d0b67bb2c7.png)
(3)证明:对于任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41228f0077b249a875e69698fefb2081.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/985b5678fd36804e1a28fac1c7a57982.png)
您最近一年使用:0次
2024-04-02更新
|
1217次组卷
|
2卷引用:山东省菏泽第一中学南京路校区2024届高三下学期开学考试数学试题
解题方法
4 . 费马原理是几何光学中的一条重要定理,由此定理可以推导出圆锥曲线的一些性质,例如,若点
是双曲线
(
为
的两个焦点)上的一点,则
在点
处的切线平分
.已知双曲线
的左、右焦点分别为
,直线
为
在其上一点
处的切线,则下列结论中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62180fb2b68724b7b0f4f8337496c12a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6030294837c740b4fe4bb00162137e38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83d58e6b21b696adb73c986b0b2cdb6a.png)
A.![]() ![]() |
B.若点![]() ![]() ![]() ![]() ![]() |
C.直线![]() ![]() |
D.延长![]() ![]() ![]() ![]() ![]() |
您最近一年使用:0次
2024-03-27更新
|
536次组卷
|
2卷引用:河南省濮阳市2024届高三下学期第一次模拟考试数学试题
名校
5 . 已知点
、
,椭圆
:
与双曲线
:
有相同的焦点.
(1)求双曲线
的方程与离心率.
(2)点
为双曲线
的一部分
(
且
)上的动点,证明:存在过点P的双曲线
的切线等分
的面积(O为原点).
(3)设双曲线
的切线l与椭圆
交于C、D两点,求动弦
中点M的轨迹方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f54dd475ff1321041c80738b201c3b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cad955f235c6dc064b5cc814b8c0656.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce30fc0664cca88dbe6d38f32aee81e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f96848b9ec6c8d71adca5d8afa07582d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aaafb050b24c4e806c480e0665aaa5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56ba9b5b35d150c969383b464b9eb952.png)
(1)求双曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aaafb050b24c4e806c480e0665aaa5a.png)
(2)点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7775aa57ca0e62216f3039ed88dceed0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aaafb050b24c4e806c480e0665aaa5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56ba9b5b35d150c969383b464b9eb952.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b06ba630c1ea702753cb6bbc8099aafd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/061813f1ec633c5c4c393c4de7938322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aaafb050b24c4e806c480e0665aaa5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
(3)设双曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aaafb050b24c4e806c480e0665aaa5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce30fc0664cca88dbe6d38f32aee81e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
您最近一年使用:0次
名校
6 . 在四棱锥
中,
是矩形,
为棱
上一点,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faeb97acf19bd3b2c6c77c2814df4d2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5130ddc74af23f8ccfaa5974a223e84c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d4db9b82b67efe45a02fca32bfcf5dc.png)
A.点![]() ![]() ![]() |
B.若![]() ![]() ![]() ![]() |
C.四棱锥![]() ![]() |
D.直线![]() ![]() ![]() |
您最近一年使用:0次
7 . 对于数列
,记
,称数列
为数列
的一阶差分数列;记
,称数列
为数列
的二阶差分数列,…,一般地,对于
,记
,规定:
,称
为数列
的
阶差分数列.对于数列
,如果
(
为常数),则称数列
为
阶等差数列.
(1)数列
是否为
阶等差数列,如果是,求
值,如果不是,请说明为什么?
(2)请用
表示
,并归纳出表示
的正确结论(不要求证明);
(3)请你用(2)归纳的正确结论,证明:如果数列
为
阶等差数列,则其前
项和为
;
(4)某同学用大小一样的球堆积了一个“正三棱锥”,巧合用了2024个球.第1层有1个球,第2层有3个,第3层有6个球,…,每层都摆放成“正三角形”,从第2层起,每层“正三角形”的“边”都比上一层的“边”多1个球,问:这位同学共堆积了多少层?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0aa321950b10e074ed9636a2f45a1a4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de1b87726fc455bda6b57a6bbf945370.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2ea6a77537d0cc290f38e2f6879d9e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91bedc5708c3a0fd109a53174902fce4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/812e3f80ce9ee8d0bdba2d1b846e1fba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c04a9e337665339e34c3874a2c5710e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4da0ba7c15a05f519d47b5eaf09c0a8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ff0dd5f1a1c9399cea2cc938964470d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bc2d03374de76c9ba32b90436cd98b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a075be43e898d86fa07e9328978c8b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(1)数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/198cd4d7bf7a133fbc36aee884edf5b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)请用
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17243bec73e79bab1216123cc094eecd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31c932d437f90d874026f052d65a8402.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
(3)请你用(2)归纳的正确结论,证明:如果数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec08af85b4b2f52c85f449611a688d6d.png)
(4)某同学用大小一样的球堆积了一个“正三棱锥”,巧合用了2024个球.第1层有1个球,第2层有3个,第3层有6个球,…,每层都摆放成“正三角形”,从第2层起,每层“正三角形”的“边”都比上一层的“边”多1个球,问:这位同学共堆积了多少层?
您最近一年使用:0次
名校
8 . 设
为正整数,集合
. 任取集合A中的
个元素(可以重复)
,
,
,
,其中
.
(1)若
,
,直接写出
;
(2)对于
,
,
,证明:
;
(3)对于某个正整数
,若集合A满足:对于A中任意
个元素
,都有
,则称集合A具有性质
. 证明:若
,集合A具有性质
,则
,集合A都具有性质
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89ffdb6f5f778ef4042ebb34676a01d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7da0b0e5b6a848ebf56dc9b322439516.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e58913298f228485834ce1a2cdeba90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97565c23be7ddbaa8d5d0a79306b7802.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b71876e8c49840f701497ef410cc604.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b52f8aaa7e6e6cff822f11234f76c6ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88ab695c730d189001bc892560da77a4.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e4786f5726f9ea2fbec6989c316a8a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b5d37f320c9735b578f7edf5735c696.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc42f408e8973e0f39d09ba3c8d8bea7.png)
(2)对于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab46ece2bf2e8fd7155e0d5cb96a1300.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86f56b4669ea734f330fc1a0138e17a8.png)
(3)对于某个正整数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2def5aa62f497709e1bd8258583d62fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/898ee117eaceffb2cdc39941f53d2d12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a904c68cfc09c7702602d18d3fc555a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6291d7b91f71daa0b3c4fa02dc7a5ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/899237334c87274dec572e039f5c9521.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c619c428e95993872569147b7ea83cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71b78297a65e7fad69635b19928ecc10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6291d7b91f71daa0b3c4fa02dc7a5ea.png)
您最近一年使用:0次
9 . 已知
为抛物线
上的两点,
是边长为
的等边三角形,其中
为坐标原点.
(1)求
的方程.
(2)已知圆
的两条切线
,且
与
分别交于点
和
.
(i)证明:
为定值.
(ii)求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e6c830bfa9a1b979a1a9665166424bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6093eebca8f3ff82ce9298feb197e955.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)已知圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9dac63b3d222a4cff8691da2d0d4489d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52b717e5c29494c85955d5a80679ae71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44434b647ec546fe787e2164e0be6cd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91e1e4115d78e625e9e0f47cdade3286.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df4b833fb7dd03c34ac40c664cd8483d.png)
(i)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1019d4ad2e3fb4a7abb66e0e9e55b556.png)
(ii)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bd5ff3cfc044f329cd7ae0296683454.png)
您最近一年使用:0次
10 . 由
个数排列成
行
列的数表称为
行
列的矩阵,简称
矩阵,也称为
阶方阵,记作:
其中
表示矩阵
中第
行第
列的数.已知三个
阶方阵分别为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9ff7824ff4c2d54281baa128c63235d.png)
,
,其中
分别表示
中第
行第
列的数.若
,则称
是
生成的线性矩阵.
(1)已知
,若
是
生成的线性矩阵,且
,求
;
(2)已知
,矩阵
,矩阵
是
生成的线性矩阵,且
.
(i)求
;
(ii)已知数列
满足
,数列
满足
,数列
的前
项和记为
,是否存在正整数
,使
成立?若存在,求出所有的正整数对
;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/767f5a4746f04db68386fac3970b1ed1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/767f5a4746f04db68386fac3970b1ed1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3f2dee59acd8ba55c25c9f5316ed3c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04b540e0e8df1cc4f59180460e7d4264.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7600d2cfbdc6146db96cc545706004f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9ff7824ff4c2d54281baa128c63235d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39d394642b16525e70ecda2fd70cdb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0419a2c0acbb1af2d84373cca6d605a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d37e026f409868f81064617a4120e73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61cbe82b97961a419f24e40bf54a1376.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7600d2cfbdc6146db96cc545706004f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddff15b8d9a8b8f371670b3cba489b4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d03e28332446eea06a9bd61050d38373.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c62349070fb07aaeffbb5d7d91289a9.png)
(1)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab241dfd5146035044bc35dcfb3e0994.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/647c97da671781944dcbac93af7cadcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64bb2b9e1f49aee4f4b91f0ba229fd75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28b7d9aa89f698d7ac2772dbf24a5a1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/647c97da671781944dcbac93af7cadcb.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4246c1e8163f564afaf51cec2352362e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18ce6091ca3c6c454219a36f5396ccfa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d03e28332446eea06a9bd61050d38373.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c62349070fb07aaeffbb5d7d91289a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18d7859dc8659a974ea86d14b6ef18e6.png)
(i)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c07cbe067882d2f964195527ad1b33c.png)
(ii)已知数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44a8100f98999e472945ab7050af50d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b783cf91e34e692ce8e171f0965cb53f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa7ffcaea39899aa3e4a17f9a5bc46f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b783cf91e34e692ce8e171f0965cb53f.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/280860dd039e1305a5ccc455f63e8223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdd0bd4520a95ff89c01f5db5d0a0b0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a64d924836b4292239d9726c6473d7f5.png)
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