函數(shù)y=eq\f(49,(x2-18)\r(x2+17))的圖像示意圖主要內(nèi)容：介紹函數(shù)y=eq\f(49,(x2-18)\r(x2+17))的定義域、值域、單調(diào)性及極限等性質(zhì)，同時簡要畫出函數(shù)的圖像示意圖。※.函數(shù)的定義域∵x2+17≥17＞0，x2-18≠0，則x≠±3eq\r(2),∴函數(shù)的定義域為：（-∞,-3eq\r(2))∪(3eq\r(2)，+∞)?！?函數(shù)的單調(diào)性∵y=49*[(x2-18)eq\r(x2+17)]?1∴eq\f(dy,dx)=-49*[(x2-18)eq\r(x2+17)]?2*[2xeq\r(x2+17)+eq\f(x(x2-18),eq\r(x2+17))]=-49*x[(x2-18)eq\r(x2+17)]?2*eq\f(2(x2+17)+(x2-18),eq\r(x2+17))=-49*x[(x2-18)eq\r(x2+17)]?2*eq\f(3x2+16,eq\r(x2+17));∵3x2+16>0,∴函數(shù)的單調(diào)性為：(1).當(dāng)x∈(3eq\r(2),+∞)時，eq\f(dy,dx)<0，函數(shù)y在定義域上為減函數(shù)；(2).當(dāng)x∈(-∞,3eq\r(2))時，eq\f(dy,dx)>0，函數(shù)y在定義域上為增函數(shù)?！?函數(shù)的奇偶性∵f(x)=eq\f(49,(x2-18)\r(x2+17))∴f(-x)=eq\f(49,[(-x)2-18]\r([(-x)2+17]))=eq\f(49,(x2-18)\r(x2+17))=f(x),即函數(shù)為偶函數(shù)，在定義域上關(guān)于y軸對稱。※.函數(shù)的極限lim（x→-∞）eq\f(49,(x2-18)\r(x2+17))=0lim（x→+∞）eq\f(49,(x2-18)\r(x2+17))=0lim（x→-3eq\r(2)）eq\f(49,(x2-18)\r(x2+17))=+∞lim（x→3eq\r(2)）eq\f(49,(x2-18)\r(x2+17))=+∞※.函數(shù)的部分點圖表x-8.49-8.06-7.64-7.21-6.79-6.36-5.09x2-1854.0846.9640.3733.9828.1022.457.91eq\r(x2+17)9.449.058.688.317.947.586.55y0.0960.1150.1400.1740.2200.2880.946x5.096.366.797.217.648.068.49x2-187.9122.4528.1033.9840.3746.9654.08eq\r(x2+17)6.557.587.948.318.689.059.44y0.9460.2880.2200.1740.1400.1150.096※.函數(shù)的圖像示意圖yy=eq\f(49,(x2-18)\r(x2+17))(-5.09,0.946)(-5.09,0.946)(-6.36,0.288)(-6.36,0.288)(-