解题方法
1 . 空间四面体ABCD中,已知
,
,
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/20/665746bf-ebef-4fac-b425-6dbef3721475.png?resizew=161)
(1)求CD的长;
(2)已知点E在线段AC上运动,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b134e7a79f6b0ccd857d2ed852098e1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa6874ed1ac4e8ebf7f341e3e3056cfe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b36f544cf07db2aeecbe76e87a8c555.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/addb8e20db1fbb40f17dea52f951b907.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07160f14b3b453bebb64cb2bf96dc85a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/20/665746bf-ebef-4fac-b425-6dbef3721475.png?resizew=161)
(1)求CD的长;
(2)已知点E在线段AC上运动,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ae7c0b22a09146fe87955159f70454b.png)
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2 . 正方形
的边长为
,
分别为边
的中点,
是线段
的中点,如图,把正方形沿
折起,设
.
取何值,
与
不可能垂直;
(2)设二面角
的大小为
,当
时,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d93949d8a15aca4e79cedb978590571.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0039dfdd6847b00a7938035b8d997242.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db54223bb3fc2fe2497213a4d1f94827.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
(2)设二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cc6254fdf3ab25161b65f5c86c6c42d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9656730697a15b9c7d9ed8303840c0bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de7d5ef3a3d9a03be91135fc426d57cc.png)
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解题方法
3 . 已知实数
满足方程
,记
的最小值为
,则以
为圆心,
为半径的圆的方程为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/370457261d4292d9650b2fa864ae83a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6870cb66d351058d94f8ed6f26cd8e44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b094cba781181aeb90752170e9ba6c94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
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解题方法
4 . 在
中的三个内角
的对边分别为
,重心为
,若
,则
=________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b6f99357a60ba45016714dc392980ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b35cfed78d5b147eb5c6d918b5f69ca5.png)
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5 . 设
是定义在
上且周期为2的函数,在区间
上,
,其中
.若
,则函数
的对称中心为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2628e2dd7a988cc80530e739c22b2280.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e354f44c5841806fdc363073abdd052.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f42688aad68e80c39097121f7a096f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fba64ec90d6532ff556660abfcfbcb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/917f1aae87a8ff8b86009ae40bbd4c89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5a80b6fac062f652652e9ad0603da65.png)
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6 . 已知
半径为1,
分别为其两条切线,切点分别为
,则
的最小值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60d4a832771ba45d407f31000c8fcf37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e52586ca2a3b783bc8092415e2d4bf6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59880e470359d8e9faf6ae5ce155cf2a.png)
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7 . 已知函数
,若对任意实数
,存在实数
,使得
成立,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f39b2eeeb4bd22d5fe5162ec574def28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0d4310340d63dad869fa03cbf7b1367.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
8 . 在
中,三个内角
所对的边分别为
;若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b53e0bdac1e1e0c90821e5f8f951afd.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43130355762bb7cbe2bc4db08722449e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b53e0bdac1e1e0c90821e5f8f951afd.png)
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9 . 定义:
,若函数
,将其图象向左平移
个单位长度后,所得到的图象关于
轴对称,则
的最小值是( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3070b64312b35c087afe70f52820e7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d3a6cbccfe4121dc84b45c3dfa53f2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1f07948e9258b482a2164ac871f90f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
10 .
的内角
所对的边长分别为
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e88de527b00d11a61b70679595630975.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dbb0256cecabb92af0a6349e42f10dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e88de527b00d11a61b70679595630975.png)
您最近一年使用:0次
2021-03-09更新
|
354次组卷
|
4卷引用:2016年全国高中数学联赛新疆赛区预赛(高二)试题
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