解题方法
1 . 已知平面向量
,
,
,若
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/934d37c81b2266c7b86bcc11afaf5f91.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f03d4423c21204d305a5042799984973.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03ce91daa4c77cf376667638804c7163.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/210f0706507105920ebfdceadd0926d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5072e817a6b9a062730d22af64a8314c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2206a25961dd83ad59896d25ea293b90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/934d37c81b2266c7b86bcc11afaf5f91.png)
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解题方法
2 . 已知函数
.
(1)画出函数
的图象;
(2)求
的值;
(3)写出函数
的单调递减区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84807489f88dad1986738fa71af587a4.png)
(1)画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cff094612c8812791ea83d22fc98e44a.png)
(3)写出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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183次组卷
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2卷引用:河北省辛集市第三中学2023-2024学年高三上学期第一次月考数学试题
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3 . 已知集合
,则
的真子集的个数是_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ef28ef83d8fac821a0f182da4e4707d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
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4 . 不等式
的解集是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/067672b070f95a8bc66abc5b38cfd83c.png)
A.![]() | B.![]() |
C.![]() ![]() | D.![]() ![]() |
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5 . 某林区的森林面积每年比上一年平均增长
,要增长到原来的
倍,需经过
年,则函数
的图象大致为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1c1e9ce568e2be010e4bc7c9e9e1bed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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6 . 已知集合
,若集合
满足
且
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfaf2133a57a1ba37929353a7e872b77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e544b1304a6bbc87283cf741f134cebe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/503063d36255ecb333cec1f27ec69b63.png)
A.![]() | B.![]() |
C.集合![]() | D.集合![]() |
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解题方法
7 . 已知公比为
的等比数列
的前
项和为
,且满足
.
(1)求数列
的通项公式;
(2)若
,求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](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/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e5451b155d749079fab94690db3668c.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/993f3485d6030a58d52f839760f2624d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
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8 . 已知对任意实数
,不等式
恒成立,则实数
的值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/764136e484a1017041eda8df27d0e206.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
9 . 已知函数
,则方程
所有的解构成的集合是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4ff70e3829c5c9f9b181b5aec8b2d40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5892d6acd7271a4e9fc427427ab85108.png)
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10 . 命题:“
”的否定是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70fe5d366e868de7f6c9c7175e28a095.png)
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