Câu 26:
Cho hình chóp S.ABCcó đáy là ΔABC vuông cân ở B,<spanclass="katex−display"><spanclass="katex"><spanclass="katex−mathml"><mathxmlns="http://www.w3.org/1998/Math/MathML"display="block"><semantics><mrow><mi>A</mi><mi>C</mi><mo>=</mo><mi>a</mi><msqrt><mn>2</mn></msqrt><moseparator="true">,</mo><mtext> </mtext></mrow><annotationencoding="application/x−tex">AC=a2,</annotation></semantics></math></span><spanclass="katex−html"aria−hidden="true"><spanclass="base"><spanclass="strut"style="height:0.6833em;"></span><spanclass="mordmathnormal">A</span><spanclass="mordmathnormal"style="margin−right:0.07153em;">C</span><spanclass="mspace"style="margin−right:0.2778em;"></span><spanclass="mrel">=</span><spanclass="mspace"style="margin−right:0.2778em;"></span></span><spanclass="base"><spanclass="strut"style="height:1.1505em;vertical−align:−0.1944em;"></span><spanclass="mordmathnormal">a</span><spanclass="mordsqrt"><spanclass="vlist−tvlist−t2"><spanclass="vlist−r"><spanclass="vlist"style="height:0.9561em;"><spanclass="svg−align"style="top:−3em;"><spanclass="pstrut"style="height:3em;"></span><spanclass="mord"style="padding−left:0.833em;">2</span></span><spanstyle="top:−2.9161em;"><spanclass="pstrut"style="height:3em;"></span><spanclass="hide−tail"style="min−width:0.853em;height:1.08em;"><svgxmlns="http://www.w3.org/2000/svg"width="400em"height="1.08em"viewBox="004000001080"preserveAspectRatio="xMinYMinslice"><pathd="M95,702c−2.7,0,−7.17,−2.7,−13.5,−8c−5.8,−5.3,−9.5,−10,−9.5,−14c0,−2,0.3,−3.3,1,−4c1.3,−2.7,23.83,−20.7,67.5,−54c44.2,−33.3,65.8,−50.3,66.5,−51c1.3,−1.3,3,−2,5,−2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,35.3,−71,104,−213c68.7,−142,137.5,−285,206.5,−429c69,−144,104.5,−217.7,106.5,−221l0−0c5.3,−9.3,12,−14,20,−14H400000v40H845.2724s−225.272,467,−225.272,467s−235,486,−235,486c−2.7,4.7,−9,7,−19,7c−6,0,−10,−1,−12,−3s−194,−422,−194,−422s−65,47,−65,47zM83480h400000v40h−400000z"/></svg></span></span></span><spanclass="vlist−s"></span></span><spanclass="vlist−r"><spanclass="vlist"style="height:0.0839em;"><span></span></span></span></span></span><spanclass="mpunct">,</span><spanclass="mspace"style="margin−right:0.1667em;"></span></span></span></span></span>SA⊥(ABC), SA=a. Gọi G là trọng tâm của ΔSBC, mp(α) đi qua AG và song song với BC chia khối chóp thành hai phần. Gọi Vlà thể tích của khối đa diện không chứa đỉnh S. Tính V.
Câu 26:
Cho hình chóp S.ABCcó đáy là ΔABC vuông cân ở B,<spanclass="katex−display"><spanclass="katex"><spanclass="katex−mathml"><mathxmlns="http://www.w3.org/1998/Math/MathML"display="block"><semantics><mrow><mi>A</mi><mi>C</mi><mo>=</mo><mi>a</mi><msqrt><mn>2</mn></msqrt><moseparator="true">,</mo><mtext> </mtext></mrow><annotationencoding="application/x−tex">AC=a2,</annotation></semantics></math></span><spanclass="katex−html"aria−hidden="true"><spanclass="base"><spanclass="strut"style="height:0.6833em;"></span><spanclass="mordmathnormal">A</span><spanclass="mordmathnormal"style="margin−right:0.07153em;">C</span><spanclass="mspace"style="margin−right:0.2778em;"></span><spanclass="mrel">=</span><spanclass="mspace"style="margin−right:0.2778em;"></span></span><spanclass="base"><spanclass="strut"style="height:1.1505em;vertical−align:−0.1944em;"></span><spanclass="mordmathnormal">a</span><spanclass="mordsqrt"><spanclass="vlist−tvlist−t2"><spanclass="vlist−r"><spanclass="vlist"style="height:0.9561em;"><spanclass="svg−align"style="top:−3em;"><spanclass="pstrut"style="height:3em;"></span><spanclass="mord"style="padding−left:0.833em;">2</span></span><spanstyle="top:−2.9161em;"><spanclass="pstrut"style="height:3em;"></span><spanclass="hide−tail"style="min−width:0.853em;height:1.08em;"><svgxmlns="http://www.w3.org/2000/svg"width="400em"height="1.08em"viewBox="004000001080"preserveAspectRatio="xMinYMinslice"><pathd="M95,702c−2.7,0,−7.17,−2.7,−13.5,−8c−5.8,−5.3,−9.5,−10,−9.5,−14c0,−2,0.3,−3.3,1,−4c1.3,−2.7,23.83,−20.7,67.5,−54c44.2,−33.3,65.8,−50.3,66.5,−51c1.3,−1.3,3,−2,5,−2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,35.3,−71,104,−213c68.7,−142,137.5,−285,206.5,−429c69,−144,104.5,−217.7,106.5,−221l0−0c5.3,−9.3,12,−14,20,−14H400000v40H845.2724s−225.272,467,−225.272,467s−235,486,−235,486c−2.7,4.7,−9,7,−19,7c−6,0,−10,−1,−12,−3s−194,−422,−194,−422s−65,47,−65,47zM83480h400000v40h−400000z"/></svg></span></span></span><spanclass="vlist−s"></span></span><spanclass="vlist−r"><spanclass="vlist"style="height:0.0839em;"><span></span></span></span></span></span><spanclass="mpunct">,</span><spanclass="mspace"style="margin−right:0.1667em;"></span></span></span></span></span>SA⊥(ABC), SA=a. Gọi G là trọng tâm của ΔSBC, mp\left( \alpha \right) đi qua AG và song song với BC chia khối chóp thành hai phần. Gọi Vlà thể tích của khối đa diện không chứa đỉnh S. Tính V.