1 . 已知函数
,关于
的不等式
的解集为
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d3a3abe612ccbe97f505092dff1dce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e88397868e328f1136050a776f6c477a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2a8b8044825d59a09d5ff2efdc42981.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2398bf8f26e09122c686e40c92b91557.png)
A.![]() | B.![]() | C.0 | D.1 |
您最近一年使用:0次
2 . 如图,在平面直角坐标系中,
和
是
轴上关于原点对称的两个点,过点
倾斜角为
的直线
与抛物线
交于
两点,且
.
为
的焦点,求证:
;
(2)过点
作
轴的垂线,垂足为
,若
,求直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bb4dd4670828f75bc573b52cdd02e1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e08136e6bc876f29a13d1204d9d621db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fea0b6471289760543596f5f45aa43ae.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14cc1572ca21da2e3271484f127a5094.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
您最近一年使用:0次
2024-06-03更新
|
513次组卷
|
3卷引用:山西省临汾市2024届高三下学期考前适应性训练(三)数学试题
解题方法
3 . 已知集合
,
,且
,则实数
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00cf2e5adf56d2bcd3d9534957769972.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af66ca31b3de82af85ad88e1133644e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9087dcf31fb3e3c60c71766407b0a9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
解题方法
4 . 已知等差数列
的首项为2,公差不为0.若
成等比数列,则
的前6项和为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e018deab6a5ae6fb4d47b8e197df4df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
A.![]() | B.![]() | C.3 | D.8 |
您最近一年使用:0次
5 . 已知
是以
为圆心,
为半径的圆上任意两点,且满足
,
是
的中点,若存在关于
对称的
两点,满足
,则线段
长度的可能值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4f8edea2e5d4e08cf6210d0e9f3fdbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8a73e13066f5ab14b07a1588d968578.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88c3a2f5b0702ea9fbb9dc8904579737.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b768ea6a05cbf45b28fc46c501ba532.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
A.3 | B.4 | C.5 | D.6 |
您最近一年使用:0次
解题方法
6 . 已知函数
.
(1)求
在
处的切线方程;
(2)若曲线
与直线
有且仅有一个交点,求
的取值范围;
(3)若曲线
在
处的切线与曲线
交于另外一点
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c2e33e637f3ce3f7163031be3bedfd0.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb45f673c56a289ea78831c9237e8d20.png)
(2)若曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1447dbe580ac5c825776995118e75acf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)若曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e209a60f1031bc4978c0cfce9bc1358.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2c9a4bbe272cdfd820fbbcfeceea4fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bc1ae6f6b30f3f422b6d4eb22c2d216.png)
您最近一年使用:0次
解题方法
7 . 已知首项为1的正项数列
,其前
项和
.用
表示不超过
的最大整数,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef56bcb31ea02a037adc850669f5d50a.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/9583a4d9bf7b954042226232d23a8c19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4f5908d6a1217e493ed7586b6964dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef56bcb31ea02a037adc850669f5d50a.png)
您最近一年使用:0次
8 . 已知函数
的图象可由函数
的图象平移得到,且关于直线
对称.
(1)求
的值;
(2)求函数
的单调递增区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2afc3ff03a15347e4b1e270d34825953.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42b7303c20aa276076074282802c004a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9895bf4192f5c55c16f8270d53c49b13.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60edd6f22af315c5a5d77e741149e63f.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e41ead8c199f0b65d4444e646740054e.png)
您最近一年使用:0次
9 . 记
为函数
的
阶导数,
,若
存在,则称
阶可导.英国数学家泰勒发现:若
在
附近
阶可导,则可构造
(称其为
在
处的
次泰勒多项式)来逼近
在
附近的函数值.下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a33cfe27fd2276a7c542f062c17b4d85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca1842ac8cd2d27c19a5b1593a966687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a33cfe27fd2276a7c542f062c17b4d85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ff9f84126baf13c7f5787c360286ac5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a0876215b2fd463d151523cd3c6b447.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9e8b9c5a9a2e7f44ed712c9d4cc42a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
A.若![]() ![]() |
B.若![]() ![]() |
C.![]() ![]() ![]() |
D.![]() |
您最近一年使用:0次
解题方法
10 . 若
,则
的最小值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca542e78b7d77d008c9c4752afa91a55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/270e8fc48f9dff4b373443dd1022cfa3.png)
A.1 | B.4 | C.![]() | D.![]() |
您最近一年使用:0次