解题方法
1 . 设数列{
}的前
项和为
,已知
=
+
.
(1)求数列{
}的通项公式;
(2)若数列{
}满足
=
-
+
,求数列{
}的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.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/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39c8c0c5f13962a0d47db3cfd4f6dff3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d91e07104b699c4012be2d26160976a2.png)
(1)求数列{
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
(2)若数列{
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/686ece75006ad358f23314dc8a246e11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/686ece75006ad358f23314dc8a246e11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f19f39beb2ca207137f0816d87332197.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b17a9b9bb8bf6bb9865e37f204da5c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/686ece75006ad358f23314dc8a246e11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
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4卷引用:河南省豫南九校2020-2021学年高三上学期教学指导卷(二)数学(文)试题
河南省豫南九校2020-2021学年高三上学期教学指导卷(二)数学(文)试题豫南九校2022年高三上学期教学指导卷二文科数学试题上海奉贤区致远高级中学2023届高三上学期期中数学试题(已下线)江苏省八市2023届高三二模数学试题变式题17-22
解题方法
2 . 已知
.
(1)讨论函数
的单调性,并求函数
的最值;
(2)设函数
,若
,有
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a25675b4d2792baaba0251c076b15b4.png)
(1)讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a1a0b7fe92c85d3edd64b46a5b00b44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32d02d6c50325772f2f5c5308f47d4d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e543fbea1efddbffd3200b0d7fcd6f12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2卷引用:河南省豫南九校2020-2021学年高三上学期教学指导卷(二)数学(文)试题
解题方法
3 . 已知
,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01850ea5698ffa9a006015e4cbf69336.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95d22960725f2581427845197dfb679d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e908eef5663cb75b9686cb805739dd62.png)
A.2 | B.![]() | C.![]() | D.0 |
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4 . 若角
的终边在直线
上,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8c1386365c3282c147d24b2b463107e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6ecb30b4bb02275920f8609fda1f903.png)
A.3 | B.![]() | C.![]() | D.![]() |
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5 . 已知
中角
所对的边分别为
,若
,则
的面积为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce7af7c5df749c6fa9bbe87faa72c66d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88f2599ca8b6b683e57a82699c8b1ebb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1645a36ec5b97bfb76a9c3e9d2fda377.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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6 . 已知命题
,直线
与曲线
有交点,则
是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e24bc3aee198e294581d6d20e9df00f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcc6a0dd461b4ecd1245aadca9e7bcdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac02a054bd0771a56987af33454baaea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/822e1d5acaa60803c97eec89a903183d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ffc1bb9d53a27d484396ad74d6a26e0.png)
A.![]() ![]() ![]() |
B.![]() ![]() ![]() |
C.![]() ![]() ![]() |
D.![]() ![]() ![]() |
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3卷引用:河南省豫南九校2020-2021学年高三上学期教学指导卷(二)数学(文)试题
名校
解题方法
7 . 函数
在区间
上的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b49017a54c4fbbccee0494fd9113417.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec7d4b007dd604726a7aac8a72c67c9e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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4卷引用:河南省豫南九校2020-2021学年高三上学期教学指导卷(二)数学(文)试题
名校
8 . 已知
,则“
且
”是“
”的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73254f32b6da29ecc32df2e9f87a4c97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4d07000a97dc135f00e8e1e592a4c4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ef6380be11120769ff697f99be42c78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccc59e7686936c6135c9f6c0cc4a2c97.png)
A.充分不必要条件 | B.必要不充分条件 |
C.充要条件 | D.既不充分也不必要条件 |
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9 . 已知
,则集合
中的元素的个数是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f819e81a5fb64674d892887e09f9e756.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
A.3 | B.4 | C.5 | D.无数个 |
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10 . 已知
实数
满足
,
实数
满足
.若
是
的必要不充分条件,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e24bc3aee198e294581d6d20e9df00f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b59b0f968775be71da8161fa525effb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70fc6df02b1c89ddb3f771ca9b83c9d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e4d773bd878ce832c5b3b11129d646.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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