1 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/868bf036ac8e86303ecf9da160931fff.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/6/4cbe23ad-885d-49eb-ab7f-c5899bce7837.png?resizew=242)
(1)在如图所给的平面直角坐标系中画出该函数的图象;
(2)写出函数
的单调增区间及零点.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/868bf036ac8e86303ecf9da160931fff.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/6/4cbe23ad-885d-49eb-ab7f-c5899bce7837.png?resizew=242)
(1)在如图所给的平面直角坐标系中画出该函数的图象;
(2)写出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
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2 . 已知函数
,用
表示
中的较小者,记为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/23/1426aea1-e625-47c3-834a-d0b48c417077.png?resizew=166)
(1)在给定的坐标系中,画出函数
的图象;
(2)结合图象写出函数
的解析式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6002c3b37de6c86fce0194a74be527c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7a01f3f7af9a5d29441194a8db5fb5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/067fd5770e2e2d208af78f1d9930abf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b329728a2ed137520e75fd0455c2f30c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/23/1426aea1-e625-47c3-834a-d0b48c417077.png?resizew=166)
(1)在给定的坐标系中,画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7a01f3f7af9a5d29441194a8db5fb5a.png)
(2)结合图象写出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7a01f3f7af9a5d29441194a8db5fb5a.png)
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解题方法
3 . 已知函数
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/26/a86fa5f6-948b-43df-ba0d-789d64b67039.png?resizew=213)
(1)在所给出的坐标系中画出
的图象;
(2)解不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64a7b99954b553ca778cb4690f934d26.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/26/a86fa5f6-948b-43df-ba0d-789d64b67039.png?resizew=213)
(1)在所给出的坐标系中画出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
(2)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2ece022365a4c9d4a68e16157f3137a.png)
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解题方法
4 . 如图,在棱长为
的正方体
中,
,
分别是
,
的中点,过
,
,
三点的平面与正方体的下底面
相交于直线
.
(1)画出直线
的位置,保留作图痕迹,不需要说明理由;
(2)求三棱锥
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](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/2777840758e70e7dbbc18cef8f3d6d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f66fb71b75b63594ebeeeebd1963eed5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](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/632f2bf1cd0435041fa04b01901d1c8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/29/959553f7-f390-4d52-bde9-78f0b031321e.png?resizew=160)
(1)画出直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)求三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49fa04431a92d131d7b0b903139bd867.png)
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解题方法
5 . 已知函数
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/14/3eff1862-b012-44bb-b250-be745f2c8f71.png?resizew=197)
(1)求
的值;
(2)画出函数
的图象,根据图象写出函数
的单调区间;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c9e4821ad1bf3985b9f4e8a88529943.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/14/3eff1862-b012-44bb-b250-be745f2c8f71.png?resizew=197)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e7315d535566d5942798ae11127ced7.png)
(2)画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
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6 . 著名数学家华罗庚曾说过:“数缺形时少直观,形少数时难入微;数形结合百般好,隔离分家万事休”.在数学的学习和研究中,常常借助图象来研究函数的性质.已知函数
是定义域为
的奇函数,当
时,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/7/a155ba40-cc4d-4dff-a093-2bb5e2d95c2c.png?resizew=196)
(1)求出函数
在
上的解析式;
(2)画出函数
的图象,并根据图象写出
的单调区间;
(3)若函数
的图象与直线
有三个交点,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7da3a6d011679952771607b3a166676b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba7b4162be068735915bfb30b315632c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/7/a155ba40-cc4d-4dff-a093-2bb5e2d95c2c.png?resizew=196)
(1)求出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7da3a6d011679952771607b3a166676b.png)
(2)画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af79f45b5880c72a349500da9d8e118d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
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7 . 已知函数
.
(1)求
;
(2)画出
的图象;
(3)若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca9131b44d53a716e20ad2c24558f093.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c4b5b9edcf4c9230374512e2f506df0.png)
(2)画出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7790a91bcbbc414071d2ad1649fc8e7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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8 . 已知
,函数
.
(1)当
时,画出
的图象,并写出其单调增区间;
(2)设
,函数
在
既有最大值又有最小值,分别求出实数m,n的取值范围(用a表示).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44aca6c00903b9dd306287ba3bb91035.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3db58afeac1cfe83233a8887e16f59b7.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/1/9fe393c7-3afa-422a-848b-f6aa9faf9328.png?resizew=126)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20849c00c47cbdc43f18d53341b6c4e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba7204f43679af6935e494c59d40c6ff.png)
您最近一年使用:0次
9 . 已知函数
.
(1)用分段函数的形式表示该函数;
(2)画出该函数的图象;
(3)写出该函数的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd961265522bd091303b892796d4179e.png)
(1)用分段函数的形式表示该函数;
(2)画出该函数的图象;
(3)写出该函数的值域.
您最近一年使用:0次
10 . 已知
,
(1)用分段函数表示
的解析式,并作出其图象;
(2)指出函数
的定义域与值域;
(3)解不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ceee492e1b65894c0285de16c054b35a.png)
(1)用分段函数表示
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)指出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2a8a9f4f0d6590de86becb733bd1b6b.png)
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