1 . 如图,函数
的图像是折线段ABC,其中A、B、C的坐标分别为
、
、
,则函数
在
处的导数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b01cdb4a84f02a75eb447b54f73f7df6.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed1a65d88f9823d49da8f3b96ea9ec6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fab8a0cc6504aa4c3a38006f5394b4c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d02dba7080b2d1e0d7a4a16a48a0d47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b01cdb4a84f02a75eb447b54f73f7df6.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/3/b9a18400-4bba-4f17-9f83-59d25e100c53.png?resizew=185)
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2023高三·全国·专题练习
名校
2 . 函数
,当
取不同的正数时,在区间
上它们的图像是一组美丽的曲线(如图),设点
,
,连接
,线段
恰好被其中的两个幂函数
,
的图像三等分,即有
,那么![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fbc4da80827d0510931284f9de4ffa8.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4250ec1d917f79063aec24a24cad892b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e11f4ca0e7ace69f92130d0525bcdb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8748dc55e2f45bc37fc4d84d7310f79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49cba284d675a3028d7a8d54f1f8ae70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8dd3f86cd7afe812f3d8e131bee1e315.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fce04612f2dc7928760c86f67a883df7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e667b7c87fd5070e751912104cbcfcc2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fbc4da80827d0510931284f9de4ffa8.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/15/e9b618c6-6ba9-495b-ae74-51ff79be8f86.png?resizew=178)
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2020高三·全国·专题练习
3 . 已知
的图像如图①,则
的图像是_________ ;
的图像是_________ ;
的图像是_________ ;
的图像是________ .
![](https://img.xkw.com/dksih/QBM/2020/7/25/2513076554956800/2513755136720896/STEM/9976bd2a240d43208750f7c7b03c8619.png?resizew=151)
![](https://img.xkw.com/dksih/QBM/2020/7/25/2513076554956800/2513755136720896/STEM/ecebdec15ac84a8f900dd1436d14da2a.png?resizew=151)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bf5ac7fd4cb73edd6fb09d1101fecf7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc3d36c7faa45fe5dae65a800cb59c19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc1638c1bc120bc0690d2dafd2663586.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fd713a9809d5df1de33c6f11b81eca7.png)
![](https://img.xkw.com/dksih/QBM/2020/7/25/2513076554956800/2513755136720896/STEM/9976bd2a240d43208750f7c7b03c8619.png?resizew=151)
![](https://img.xkw.com/dksih/QBM/2020/7/25/2513076554956800/2513755136720896/STEM/e97f8fb04242450ea98afc164f39071d.png?resizew=151)
![](https://img.xkw.com/dksih/QBM/2020/7/25/2513076554956800/2513755136720896/STEM/ecebdec15ac84a8f900dd1436d14da2a.png?resizew=151)
![](https://img.xkw.com/dksih/QBM/2020/7/25/2513076554956800/2513755136720896/STEM/994c8bfa4267422db28117e88b06e977.png?resizew=151)
![](https://img.xkw.com/dksih/QBM/2020/7/25/2513076554956800/2513755136720896/STEM/7c3fb5c3a8f84f6fabbd5762c2f01482.png?resizew=151)
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4 . 魏晋南北朝(公元
)时期,中国数学在测量学取得了长足进展.刘徽提出重差术,应用中国传统的出入相补原理,通过多次观测,测量山高水深等数值,进而使中国的测量学达到登峰造极的地步,超越西方约一千年,关于重差术的注文在唐代成书,因其第一题为测量海岛的高度和距离(图1),故题为《海岛算经》受此题启发,小清同学依照此法测量奥林匹克公园奥林匹克塔的高度和距离(示意图如图2所示),录得以下是数据(单位:米):前表却行
,表高
,后表却行
,表间
.则塔高![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c26a46e7879436d532af3f4b6e258a81.png)
__________ 米,前表去塔远近![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c978d92edf0c4c1ef8620c17df75d35e.png)
__________ 米.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59d1a7d726d9a79ef33387697228498e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e691e76614be733eee2f2845b298847.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58297701552d67ced4d4179d03f58da6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d732757a82e5c849b0b8ac117c9d5956.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c21afda8f9533961945151016ee00c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c26a46e7879436d532af3f4b6e258a81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c978d92edf0c4c1ef8620c17df75d35e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/18/8fe7a1ca-45f9-4c88-8fba-3f44bd7dcd6f.png?resizew=318)
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