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<h2 class="wp-block-heading" id="h-welcome-to-today-s-tutorial">Welcome to Today’s Tutorial</h2>
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<p>Hi guys, welcome to today's tutorial.</p>
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<p>In this session, we’ll be solving top GAOKAO mathematics questions that challenge your understanding of geometry, algebra, and analytical thinking.</p>
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<p>You can watch the full class in the video below:</p>
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https://www.youtube.com/watch?v=8WfEFyWf1E8
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<h2 class="wp-block-heading">Question 1: Surface Area of a Sphere with a Tetrahedron Inscribed</h2>
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<p><strong>Question:</strong><br>A regular tetrahedron with edge length √2 is inscribed in a sphere. What is the surface area of the sphere?</p>
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<figure class="wp-block-image size-full"><img src="https://allcbts.com/wp-content/uploads/2025/07/f2-9.gif" alt="" class="wp-image-25997"/></figure>
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<h3 class="wp-block-heading">Step 1: Understand the Parabola</h3>
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<h3 class="wp-block-heading">Step 2: Apply the Line Condition</h3>
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<p>Since the line passes through the focus, plug the focus coordinates into the line equation:</p>
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<h3 class="wp-block-heading">Step 3: Find the Focus and Parabola</h3>
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<p>Now that p = 4p: </p>
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<p><strong>Final Answer:</strong></p>
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<p><mark style="background-color:rgba(0, 0, 0, 0)" class="has-inline-color has-vivid-cyan-blue-color"><strong>Watch more educational videos and past questions:</strong> </mark><a href="https://youtube.com/@allcbts">https://youtube.com/@allcbts</a></p>
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<h2 class="wp-block-heading" id="h-conclusion">Conclusion</h2>
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<p>In this tutorial, we covered:</p>
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<ul class="wp-block-list"><!-- wp:list-item -->
<li>How to compute the <strong>surface area of a sphere</strong> with an inscribed tetrahedron</li>
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<li>How to determine the <strong>focus of a parabola</strong> using a line condition</li>
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<p>These questions are excellent examples of <strong>GAOKAO-level analytical mathematics</strong>. Mastering them boosts your ability to solve <strong>3D geometry</strong> and <strong>conic section</strong> problems with confidence.</p>
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<p><strong><mark style="background-color:rgba(0, 0, 0, 0)" class="has-inline-color has-vivid-cyan-blue-color">Related Videos:</mark></strong></p>
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<h3 class="wp-block-heading" id="h-seo-keywords">SEO Keywords:</h3>
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<ul class="wp-block-list"><!-- wp:list-item -->
<li>parabola focus formula</li>
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<li>GAOKAO parabola and conics questions</li>
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<li>vertex and focus of a parabola</li>
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<li>math questions with line and curve</li>
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<li>GAOKAO coordinate geometry solutions</li>
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