解题方法
1 . 已知函数
.
(1)若
,求
的值;
(2)若
,求函数
的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99b1f44fdee4134fb55bf73722a67735.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63461019de0e1cc935f4cbad2efe140c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d383133a74f020784da99329bf597736.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdd5308f1be49c12a7a8a29a219c1494.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cb788ae88e457017bb81120b6a2e5ee.png)
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解题方法
2 . 函数
满足
,若
,则实数
的值为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cb788ae88e457017bb81120b6a2e5ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50ea334507158c22e7e1253301e4c4ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b563d91ba060dea4baaed074cb30f181.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4887473a8091e1ef53a169cc9f211e3a.png)
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3 . 已知三棱锥
中,
两两垂直,
.若此三棱锥的体积为定值,当点
到平面
距离最大时,直线
与平面
所成角的正弦值为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e43f6eb62e48e72e06361138e0d1e4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a14c10cd5801f3f84fa18a3a1d9faa8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dbacc8f5a9d6c606548dc11f19781e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fc5c19ac440746be97d8b46af5d288a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
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解题方法
4 . 在平面直角坐标系中,线段
的两端点分别落在
轴,
轴上,
,点
,则
的取值范围是_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47ffb694021b52653de5141ae27ba6d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fcf9bfbf771cb6118f8e631724314e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bd8b8ceece9b2e576dff09c6cc670d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f76667e3a76e2c1de0a6b6805e1e496.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/853d44af78e164569cd514250d1abdb0.png)
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解题方法
5 . 从各位数字之和为
的所有四位数中任取两个,则
被取到的概率为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b632e7f3193aacab40ef3c9a9d69d7a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/beb0c31687a3e30058e8ba13645c17cb.png)
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6 . 设实数
,且
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a629ff9dcd6c23bf7846116c8581998b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb76c4956c01d52c178ae2ef29007689.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9623f28eff10a0df572b338888f1ea62.png)
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解题方法
7 . 已知复数
满足
,若
为实数(i为虚数单位),则
为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b335938c3c67431d4d94df75d1e49966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b385cf556ae7106930b03541ac60a1d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed2134f58ebae2a2950c35ff630fe836.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e4844f80b1fd1f9606824181896bbd3.png)
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8 . 曲线
的离心率为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ca4d0e1a19970ee9522dc9e0b4266d2.png)
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9 . 如图,已知抛物线
的焦点为
,直线
与抛物线交于
两点,过
分别作抛物线的切线
,
交于点
.过抛物线上一点
(在
下方)作切线
,交
于点
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/28/7010be9e-22f0-4144-940a-0b3e5e66e9d7.png?resizew=256)
(1)当
时,求
面积的最大值;
(2)证明
四点共圆.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91356fe1338cd458e4b1761b36873145.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/655b6a742dbacdab5aaa298007663dd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/072104dd362a079309bcf3916901b7df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5191fd3625bf6bd3744807e3ccdb030.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5191fd3625bf6bd3744807e3ccdb030.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16cc6468ae954284918b1b54b188ae81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16cc6468ae954284918b1b54b188ae81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0914b68f106a912420705b2f3928ca42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00a28be4d5a16cf245f6fa7c4088fee4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a159de0b2d9eb1ae0b7e664e64d3c6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92adfef6c3f4b8c041958fbf0b01f6a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16cc6468ae954284918b1b54b188ae81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e86079725fcc03d623554ce82be14514.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/28/7010be9e-22f0-4144-940a-0b3e5e66e9d7.png?resizew=256)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dedff09ac873e40c3ee0ce3ecf2fa032.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/854f480c60b88b546cb15d3b5622e212.png)
(2)证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc8b58ad3c066807c6b456932beafe39.png)
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解题方法
10 . 多项式
展开式的各项系数和为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c71e3e0a62efaf8a35457b1daaf5ec6c.png)
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