The six core competencies of mathematics in vocational schools are becoming increasingly important in mathematics learning. The reverse teaching design of vocational school mathematics, which focuses on core competencies, precisely grasps the internal logic of knowledge from a holistic perspective, and designs it on a unit by unit basis. The design process is to infer the starting point from the endpoint. Therefore, how to use reverse thinking in teaching design research in vocational school mathematics teaching under the background of core competencies will be the main content of this article.

This study aims to explain the design of policy strengthening in forest and land fire disaster mitigation governance, through the integration of ecotourism development in Siak Regency. Based on the research topic, this study employs a qualitative approach to describe governance conditions and the design of policy strengthening in ecotourism-based disaster mitigation governance. Data analysis is performed using Nvivo 12 Plus software. The results of this study indicate that forest and land fire disaster mitigation governance based on ecotourism development still has shortcomings that need to be addressed in the principles of conservation, economy, and community involvement. Then, the design of a policy to strengthen ecotourism-based disaster mitigation governance includes three crucial policy recommendations, namely: the need for special regulations related to forest and land fire disaster mitigation prevention based on the integration of ecotourism principle development, the need for a balance of roles between actors in determining and implementing ecotourism-based disaster mitigation policies, and the need for effective and efficient implementation of ecotourism-based disaster mitigation policies through increasing the involvement of strategic actors. Substantially, the handling of forest and land fire disasters in Siak Regency can be combined with ecotourism activities, especially in tourist village areas, by developing policies to strengthen the utilization of village-owned disaster mitigation facilities such as reservoirs, lakes, or ponds that are converted into water supplies during the dry season for forest and land fire disaster prevention activities and local economy-based tourist destinations. Our findings are a strategic effort to raise awareness among actors and highlight the need for policy-strengthening design in ecotourism-based disaster mitigation. These findings can also contribute to the literature that will be useful for all stakeholders in developing future long-term disaster mitigation governance policies. This study relies heavily on information from key informants, who represent only the perspectives and expertise of the stakeholders encountered. However, it still refers to important elements based on the informants’ knowledge capabilities in the disaster and tourism sectors. Therefore, we propose to conduct future studies on a comprehensive analysis of sustainable ecotourism-based disaster mitigation governance to promote and accelerate the idea of disaster and tourism in the future.

This problem is a solar hut photovoltaic cell in the attached and overhead two installation methods, the type of photovoltaic cells and array mode and inverter type optimization design issues. In question 1, since the photovoltaic cells are attached to the roof and exterior surfaces, the direction and angle of the battery are uniquely determined by the direction and angle of the attached surface. The problem is translated to optimize the installation of a certain type on a single surface area (array) of photovoltaic cells, so that the total amount of solar photovoltaic power generation as much as possible, and the unit power generation costs as small as possible, which is a multi-objective optimization problem. The problem can be discussed in the ideal environment in a single surface area of the battery installation optimization program, and then the actual environment of the multi-surface optimization. In the solution to Problem 1, the unit on the south of the roof of the battery at the moment to accept the solar energy formula is generated. The definition of and is the moment of direct radiation intensity, for the moment the sun and the south of the roof of the plane where the angle, for the level of horizontal radiation intensity, for the south of the roof and the horizontal angle, the planefor the plane, the center of the heart, the vertical upward direction is the axis of the positive coordinate system, obtained with the sun height angle , the sun azimuth , red angle, angle and the sun when the relationship is generated. The conclusion is only installed in the small roof surface type of battery C11, and the rest of the surface is not installed. 35 years of electricity generation is 77126 degrees, the economic benefits of 16,488 yuan, the recovery period of 21.3 years. In question 2, because the photovoltaic cells in the roof and the external wall surface can be installed overhead, the panel orientation and tilt will affect the efficiency of photovoltaic cells. Therefore, in the optimization scheme of Problem 1, the orientation and inclination of the panel on each surface are further adjusted to calculate the optimum orientation and inclination of the panel on each surface. The problem can be in the ideal weather environment to establish the sun running and the battery board efficiency model, and then the measured environment test. The optimal orientation of the panel is southward, and the optimal angle with the ground plane is 39.89 degrees. The conclusion is only installed in the small roof surface type of battery C11, and the rest of the surface is not installed. 35 years of generating capacity of 82165.2 degrees, the economic benefits of 18,998 yuan, the recovery period of 13 years. In question 3, by the optimization of the above two issues, in the building to meet the requirements of the hut under the design of the various aspects of the cabin and battery installation, and further optimize the total power generation of the hut, economic benefits. The whole model solver is run in MATLAB7.0.

The widespread application of computer-aided production technology can effectively and directly assist enterprises in completing all aspects of production smoothly and efficiently. With the rapid development of 3D printing application technology, research and promotion of new material manufacturing applications have basically begun. This article mainly focuses on analyzing two technologies: computer-aided technology and 3D printing technology.