真题
解题方法
1 . 已知函数
的定义域为R,定义集合
,在使得
的所有
中,下列成立的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ff42ff0e772a602981c54616134a52c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e98d299979423e5ae74b618b07d10c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
A.存在![]() | B.存在![]() ![]() |
C.存在![]() | D.存在![]() ![]() |
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2 . 如图,是一座“双塔钢结构自锚式悬索桥”,悬索的形状是平面几何中的悬链线,悬链线方程为
(c为参数,
),当
时,该方程就是双曲余弦函数
类似的有双曲正弦函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b383983da73f97c0ec7922556b84c49.png)
和
的值;
(2)证明:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70dfa06870da52663bbb4c7e18217dd9.png)
(3)
不等式
恒成立,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ad2f5a11d7437f506adab0996961269.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/594663e98b797cdc4efbd098cc15854f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4580cc037c0c760c728cdbb74a8154c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7d712038d937090679d0e8cee56b47a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b383983da73f97c0ec7922556b84c49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7b3d6bb49565cf01620a0259431d7ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1272e4f338038b3b9468cb9ecc06fe26.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70dfa06870da52663bbb4c7e18217dd9.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8d489d153159fcf945322bf0c6761a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3120403a25e9fc836f06a7781d23c6ec.png)
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解题方法
3 . 已知函数
,若
,则
的取值( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/324c31fdada4c31ce6107a2bc21760ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/147f89995c5aa07ce7f797c308c9c7d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/450398974b1561ca801e102e16df6789.png)
A.一定为正 | B.一定为负 | C.一定为零 | D.正、负、零都可能 |
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4 . 存在函数
满足:对于任意的
,都有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f6bfdb24ecf5da863405c2b40936ff9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/851eae00e3369068e33a7e6420483883.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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7日内更新
|
73次组卷
|
2卷引用:山东师范大学附属中学2024届高三下学期考前适应性测试数学试题
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5 . 函数
的部分图象如图所示.
的图象的对称中心;
(2)若
,且
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4888e71eb482bad8102bcdaab6ef2eb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8af5297c9949914aceb44d6b1df814c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f6c553e3698ff5ed19800ab21204664.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
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6 . 已知函数f(x)的定义域为R,其图象关于点
中心对称,若
则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80991c1f0c963104740e50cfff6f29a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/404893bd85cd20d82aabf9702d1e0638.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
7 . 函数
的单调减区间是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db0587d7945eac936249daa292b86bae.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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8 . 已知函数
是定义在
上的奇函数,
,对任意的
,且
,均有
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff68d7374e6f548d902f18ed6b6e8c3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d69b5fe06c9706349fe0ee02322759f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6629a0a419062fd4e9d1b7672d4e7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ead2d84f44d15afd79c6410078da36a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c55d110d3aff4a3758b3faff66f2ad6f.png)
A.![]() |
B.![]() |
C.![]() ![]() |
D.函数![]() |
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2024高三·全国·专题练习
9 . 设
表示不超过
的最大整数,如
,
.已知函数
,则下列结论正确的是( )
![](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/019a32cd5602875897f8b82f1eae7389.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/977353e0326dc27334a2940f1149e973.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/635482043b74b7584b05fb28d8377c98.png)
A.函数![]() ![]() |
B.![]() |
C.函数![]() ![]() |
D.函数![]() ![]() |
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10 . 已知函数
,函数
与函数
的图象有5个不同的交点,则正实数k的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab142fdf0735944d83f1d36b0937b1fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5718b0e00707dcc6fc133d40e7fe814.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9355031ea0b2dc9cef3777621bc6d38.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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