题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043236-34896.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043236-53920.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043236-48031.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043236-25497.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043236-65386.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043237-30932.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043237-85682.gif)
(1)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043237-38852.gif)
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043237-27671.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043237-96581.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043238-24213.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043238-97495.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043238-46139.gif)
(3)若
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043237-27671.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043237-96581.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043238-36500.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043238-90643.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043239-28099.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043239-55192.gif)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043239-47644.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043239-86519.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043240-42266.gif)
(3)存在
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043240-13988.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043240-87338.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043240-59452.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043241-98200.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043241-12084.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043241-54739.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043241-98005.gif)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043241-26108.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043242-41617.gif)
因为
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043242-95010.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043240-59452.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043242-39782.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043239-47644.gif)
(2)设
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043242-66514.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043243-48931.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043240-42266.gif)
即
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043243-77813.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043243-48931.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043240-42266.gif)
(A)当
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043243-82012.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043243-14318.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043243-98746.gif)
=
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043244-67695.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043244-43171.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043244-26417.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043244-64276.gif)
(B)当
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043245-57385.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043245-23913.gif)
=
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043245-10416.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043245-83885.gif)
而
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043245-14556.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043246-28516.gif)
因此
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043239-86519.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043240-42266.gif)
(3)假设
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043238-90643.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043239-28099.gif)
(A)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043246-39077.gif)
(一)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043239-55192.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043246-52200.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043246-15035.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043246-71344.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043247-56189.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043247-92374.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043240-42266.gif)
(二)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043239-55192.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043246-52200.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043247-30796.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043247-54389.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043248-94458.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043248-75535.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043248-52394.gif)
(B)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043246-39077.gif)
(一)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043239-55192.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043246-52200.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043246-15035.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043247-54389.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043248-20567.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043248-17153.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043249-47405.gif)
(二)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043239-55192.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043246-52200.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043247-30796.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043246-71344.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043249-50349.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043249-73667.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043240-42266.gif)
由此得:对于给定常数m(
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043238-36500.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043239-55192.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043246-39077.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043248-75535.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043246-39077.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043248-17153.gif)
核心考点
试题【已知点集,其中,,点列在L中,为L与y轴的交点,等差数列的公差为1,。(1)求数列的通项公式;(2)若=,令;试用解析式写出关于的函数。(3)若=,给定常数m(】;主要考察你对等差数列等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043224-85698.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043224-33251.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043225-14436.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043225-60571.gif)
(Ⅰ)若
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043225-14436.gif)
(Ⅱ)记
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043225-33921.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043225-44271.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043225-46468.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043226-75591.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043226-84965.gif)
已知数列
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043214-56856.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043215-22357.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043215-42714.gif)
(1)试判断数列
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043215-19491.gif)
(2)设
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043215-82049.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043216-23094.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043216-33356.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043216-77006.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043216-28884.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043216-99851.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043216-33356.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043217-93732.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043217-37833.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043217-84847.gif)
若数列
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043138-76500.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043138-36431.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043138-76500.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043138-22678.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043138-76500.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043138-76500.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043138-68903.gif)
①若方程
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043138-22678.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043138-73053.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043139-93908.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043139-44395.gif)
②若方程
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043138-22678.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043139-74140.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043139-92348.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043139-44395.gif)
再利用
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043140-48034.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043140-46858.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043138-68903.gif)
根据上述结论求下列问题:
(1)当
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043140-90651.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043140-39104.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043140-37484.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043138-76500.gif)
(2)当
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043141-68415.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043141-91257.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043140-37484.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043138-76500.gif)
(3)当
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043141-18002.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043141-51307.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043140-37484.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043142-14723.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043142-64106.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043142-10917.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043142-26060.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043127-15263.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043128-69110.gif)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043127-15263.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043128-28026.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043128-46840.gif)
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