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“重建三角”正弦定理在全等三角形中的应用
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作者 张婷 贺媛 邓云春 《贵州师范学院学报》 2019年第3期78-84,共7页
基于平面几何难学的现状,采用案例分析法探究“重建三角”实验方案中正弦定理在初中全等三角形中的两大应用:一是用正弦定理推导全等三角形的判定定理;二是应用正弦定理为部分特定的全等三角形题目提供简洁有利且无辅助线证明的方法。... 基于平面几何难学的现状,采用案例分析法探究“重建三角”实验方案中正弦定理在初中全等三角形中的两大应用:一是用正弦定理推导全等三角形的判定定理;二是应用正弦定理为部分特定的全等三角形题目提供简洁有利且无辅助线证明的方法。根据正弦定理在全等三角形中的应用,实现了几何“无辅”证明,将“无序”的问题变得程序化,这种程序化知识是以正弦定理为主线联结起来的,使得代数运算和几何演绎的思想一线串通。 展开更多
关键词 “重建三角” 正弦定理 全等三角
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“重建三角”正弦定理在相似三角形中的应用
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作者 韦维 张婷 张传军 《新课程评论》 2021年第12期52-58,共7页
“重建三角”正弦定理在初中相似三角形中的两大应用:一是用正弦定理推导相似三角形的判定定理;二是应用正弦定理为特定相似三角形题目提供“无辅”证明。相似三角形判定定理的证明,教材中是通过作辅助线构造平行线或者全等三角形加以证... “重建三角”正弦定理在初中相似三角形中的两大应用:一是用正弦定理推导相似三角形的判定定理;二是应用正弦定理为特定相似三角形题目提供“无辅”证明。相似三角形判定定理的证明,教材中是通过作辅助线构造平行线或者全等三角形加以证明,关联知识点多,学生必须熟练掌握全等三角形的应用才可自行解决相似三角形判定定理,学习难度较大,通过正弦定理,不仅“无辅”,而且相关联知识范围少,简洁易懂。该方法将“无序”的问题变得程序化,这种程序化知识是以正弦定理为主线联结起来的,使得代数运算和几何演绎的思想一线串通。 展开更多
关键词 “重建三角” 正弦定理 相似三角
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Optimized Triangulation Algorithm in Terrain Modeling
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作者 TAN Renchun YAO Lan 《Geo-Spatial Information Science》 2007年第1期71-74,共4页
3D reconstruction of terrain model based on digital line graphics (DLG) is discussed. An auto-coupling triangles algo-rithm based on triangle topological relationship is put forward, and the topological data model of ... 3D reconstruction of terrain model based on digital line graphics (DLG) is discussed. An auto-coupling triangles algo-rithm based on triangle topological relationship is put forward, and the topological data model of complicated terrain is developed. Based on this data model, automatic 3D topological reconstruction of terrain is realized. 展开更多
关键词 DLG DEM constrained Delaunay triangulation
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3D Surface Reconstruction of Coarse Aggregate Particles from Occlusion-Free Multi-View Images
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作者 GAO Rong SUN Zhaoyun +5 位作者 GUO Jianxing LI Wei YANG Ming HAO Xueli YAO Bobin WANG Huifeng 《Wuhan University Journal of Natural Sciences》 CAS CSCD 2024年第4期301-314,共14页
Rapidly and accurately assessing the geometric characteristics of coarse aggregate particles is crucial for ensuring pavement performance in highway engineering.This article introduces an innovative system for the thr... Rapidly and accurately assessing the geometric characteristics of coarse aggregate particles is crucial for ensuring pavement performance in highway engineering.This article introduces an innovative system for the three-dimensional(3D)surface reconstruction of coarse aggregate particles using occlusion-free multi-view imaging.The system captures synchronized images of particles in free fall,employing a matte sphere and a nonlinear optimization approach to estimate the camera projection matrices.A pre-trained segmentation model is utilized to eliminate the background of the images.The Shape from Silhouettes(SfS)algorithm is then applied to generate 3D voxel data,followed by the Marching Cubes algorithm to construct the 3D surface contour.Validation against standard parts and diverse coarse aggregate particles confirms the method's high accuracy,with an average measurement precision of 0.434 mm and a significant increase in scanning and reconstruction efficiency. 展开更多
关键词 3D shape reconstruction multi-view imaging coarse aggregate particles shape from Silhouettes multi-camera calibration
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Three-dimensional reconstruction method for measuring the knee valgus angle of the femur in northern Chinese adults 被引量:5
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作者 Tong LIU Chen-yu WANG +4 位作者 Jian-lin XIAO Lan-yu ZHU Xue-zhou LI Yan-guo QIN Zhong-li GAO 《Journal of Zhejiang University-Science B(Biomedicine & Biotechnology)》 SCIE CAS CSCD 2014年第8期720-726,共7页
The purpose of this study was to establish a method for measuring the knee valgus angle from the ana- tomical and mechanical axes on three-dimensional reconstruction imaging models, and to use this method for estimati... The purpose of this study was to establish a method for measuring the knee valgus angle from the ana- tomical and mechanical axes on three-dimensional reconstruction imaging models, and to use this method for estimating an average knee valgus angle value for northern Chinese adults. Computed tomographic angiography data in DICOM format for 128 normal femurs from 64 adult subjects were chosen for analysis. After the femur images were subjected to three-dimensional reconstruction, the deepest point in the intercondylar notch (point A), the midpoint of the medullary cavity 20 cm above the knee-joint line (point B), and the landmark of the femoral head rotation center (point C) were identified on each three-dimensional model. The knee valgus angle was defined as the angle enclosed by the distal femoral anatomical axis (line AB) and the femoral mechanical axis (line AC). The average (mean+SD) of knee valgus angle for the 128 femurs was 6.20°±1.20° (range, 3.05° to 10.64°). Significant positive correlations were found between the knee valgus angles of the right and left sides and between the knee valgus angle and age. During total knee arthroplasty, choosing a valgus cut angle of approximately 6° may achieve a good result in reestablishing the natural mechanical alignment of the lower extremity for patients of northern Chinese ethnicity. Larger valgus cut angles should be chosen for older patients. 展开更多
关键词 Knee valgus angle Three-dimensional reconstruction femoral model Total knee arthroplasty NorthernChinese adults Preoperative design
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Intra-corporeal delta-shaped anastomosis in laparoscopic right hemicolectomy for right colon cancer:a safe and effective technique 被引量:1
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作者 Hao Su Wei-Sen Jin +6 位作者 Peng Wang Mandula Bao Xue-Wei Wang Qian Liu Xi-Shan Wang Zhi-Xiang Zhou Hai-Tao Zhou 《Gastroenterology Report》 SCIE EI 2019年第4期272-278,I0002,共8页
Background and objective:Intra-corporeal delta-shaped anastomosis(IDA)is an important development in laparoscopic digestive-tract reconstruction.We applied it in laparoscopic right hemicolectomy for right colon cancer... Background and objective:Intra-corporeal delta-shaped anastomosis(IDA)is an important development in laparoscopic digestive-tract reconstruction.We applied it in laparoscopic right hemicolectomy for right colon cancer and compared the short-term outcomes between the patients treated with IDA and conventional extracorporeal anastomosis(EA).Methods:Between 1 January 2016 and 1 October 2017,36 and 50 patients who underwent IDA and EA,respectively,were included.Data on clinicopathological characteristics,surgical outcomes,post-operative recovery and complications were collected and compared between the two groups.Results:Surgical outcomes and clinicopathological characteristics were similar between the two groups except the length of incision,which was significantly shorter in the IDA group than in the EA group(4.660.6 vs 5.660.7 cm,P<0.001).The time to ground activities,fluid diet intake and post-operative hospitalization did not differ between the groups;however,the time to first flatus was significantly shorter in the IDA group than in the EA group(2.860.5 vs 3.260.8 days,P=0.004).The post-operative visual analogue scale for pain was lower in the IDA group than in the EA group on post-operative Day 1(4.060.7 vs 4.561.0,P=0.002)and post-operative Day 3(2.760.6 vs 3.460.6,P<0.001).The surgical complication rates were 8.3 and 16.0%in the IDA and EA groups(P=0.470),respectively.No complications such as anastomotic bleeding,stenosis and leakage occurred in any patient.Conclusions:IDA is safe and feasible and shows more satisfactory short-term outcomes than EA. 展开更多
关键词 Colon cancer delta-shaped anastomosis intra-corporeal anastomosis digestive-tract reconstruction laparoscopic right hemicolectomy
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