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zeekay
7af02e40e8
- Replace Hugo static site generator with Next.js 15 + fumadocs-mdx - Convert 71 blog posts from Hugo format to MDX/MD - Convert Hugo shortcodes (figure, button, video, example, fullwidth) to MDX components (Figure, LinkButton, Video, Fullwidth) - Add remark-math + rehype-katex for LaTeX math rendering - Copy JSON case files to public/cases/ for reference - Update branding for Zen LM (site-nav, footer, metadata) - Static export for Cloudflare Pages deployment - Chinese (.zh.md) translations deferred for future migration
13 lines
1.3 KiB
JSON
13 lines
1.3 KiB
JSON
{
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"title": "Example: Math",
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"messages": [
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{
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"role": "User",
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"content": "read the image and solve it step by step\n"
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},
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{
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"role": "Qwen-VL",
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"content": "The image shows two geometric figures, a rectangular prism and a cube, with their dimensions labeled. The problem asks to calculate the surface area and volume of these figures.\n\n1. For the rectangular prism:\n- Length (l) = 4 cm\n- Width (w) = 2 cm\n- Height (h) = 3 cm\n\nSurface Area (SA) of a rectangular prism = 2lw + 2lh + 2wh\nVolume (V) of a rectangular prism = lwh\n\nSubstituting the given values:\nSA = 2(4cm)(2cm) + 2(4cm)(3cm) + 2(2cm)(3cm)\nSA = 16cm² + 24cm² + 12cm²\nSA = 52cm²\n\nV = (4cm)(2cm)(3cm)\nV = 24cm³\n\n2. For the cube:\n- Side length (a) = 3 dm\n\nSurface Area (SA) of a cube = 6a²\nVolume (V) of a cube = a³\n\nSubstituting the given value:\nSA = 6(3dm)²\nSA = 6(9dm²)\nSA = 54dm²\n\nV = (3dm)³\nV = 27dm³\n\nSo, the surface area and volume for each figure are as follows:\n\nFor the rectangular prism:\n- Surface Area = 52 cm²\n- Volume = 24 cm³\n\nFor the cube:\n- Surface Area = 54 dm²\n- Volume = 27 dm³"
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}
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]
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} |