能不能出一道求解轨迹方程的数学题，不用太难，高中水平，但最后结果是心形函数图象解析式？
\u4e00\u9053\u9ad8\u4e2d\u7684\u7b80\u5355\u6c42\u8f68\u8ff9\u65b9\u7a0b\u9898\u6570\u5b66\u8bbe\u91cd\u5fc3\u4e3aG\u3002
\u56e0\u4e3a AB\u3001AC\u8fb9\u4e0a\u7684\u4e2d\u7ebf\u957f\u4e4b\u548c\u4e3a 30 \uff0c
\u6240\u4ee5 \u7531\u91cd\u5fc3\u7684\u6027\u8d28\uff0cGB+GC=2/3*30=20 \uff0c
\u56e0\u6b64\u7531\u692d\u5706\u5b9a\u4e49\u77e5\uff0cG\u7684\u8f68\u8ff9\u662f\u4ee5B\u3001C\u4e3a\u7126\u70b9\uff0c2a=20 \u7684\u692d\u5706\uff08\u53bb\u6389\u4e24\u957f\u8f74\u7aef\u70b9\uff09\uff0c
\u7531 c=8 \uff0ca=10 \uff0c\u5f97 b=6 \uff0c
\u6240\u4ee5 \u91cd\u5fc3G\u7684\u8f68\u8ff9\u65b9\u7a0b\u4e3a x^2/100+y^2/36=1(y\u22600) \u3002
\u8bbeA\uff08x\uff0cy\uff09\uff0c\u5219G\uff08x/3\uff0cy/3\uff09\uff0c
\u4ee3\u5165\u53ef\u5f97 x^2/900+y^2/324=1 (y\u22600) \u3002\u8fd9\u5c31\u662fA\u7684\u8f68\u8ff9\u65b9\u7a0b\u3002
取适当的坐标系，（x^2+y^2-ax)^2=a^2(x^2+y^2)（x^2表示x的平方）所表示的曲线
极坐标方程为：r=a（1+cosθ）。
绛旓細鏋佸潗鏍鏂圭▼涓猴細r=a锛1+cos胃锛.
绛旓細鍒,杞ㄨ抗鏂圭▼鏄痽^2=x/2(p>0,x>0)
绛旓細鍗崇偣m鐨杞ㄨ抗鏂圭▼涓簒^2+y^2=4銆
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绛旓細璁綪(a,0),Q(0,b)鎵浠 L1鐨勬柟鍚戝悜閲忎负 (2-a,1)L2鐨勬柟鍚戝悜閲忎负 (3,-4-b)鍥犱负 L1鍨傜洿浜嶭2 鎵浠 (2-a,1)(3,-4-b)=0 鍗 6-3a-4-b=0 鎵浠 2-3a-b=0 鍙堝洜涓 M涓篜Q涓偣 鎵浠ユ弧瓒 1-3x-y=0 鎵浠杞ㄨ抗鏂圭▼涓 y=1-3x ...
绛旓細瀵(1)鍒嗘瀽锛氬姩鐐筆鐨勮建杩规槸涓嶇煡閬撶殑锛屼笉鑳借冩煡鍏跺嚑浣曠壒寰侊紝浣嗘槸缁欏嚭浜嗗姩鐐筆鐨勮繍鍔ㄨ寰嬶細|OP|=2R鎴東OP|=0锛庤В锛氳鍔ㄧ偣P(x锛寉)锛屽垯鏈墊OP|=2R鎴東OP|=0锛庡嵆x2+y2=4R2鎴杧2+y2=0锛庢晠鎵姹傚姩鐐筆鐨杞ㄨ抗鏂圭▼涓簒2+y2=4R2鎴杧2+y2=0锛庡(2)鍒嗘瀽锛氶璁句腑娌℃湁鍏蜂綋缁欏嚭鍔ㄧ偣鎵婊¤冻鐨勫嚑浣...
绛旓細瑙ｏ細璁綪(x,y)(y/(x+4))*(y/(x-4))=-1/2 y²=-1/2*(x²-16)y²=(-1/2)*x²+8 2*y²+x²=16 y²/8+x²/16=1
绛旓細涓ょ偣鏄疉(-3,0),B(3,0)M(x,y)鍒橫A²+MB²=26 鎵浠(x+3)²+y²+(x-3)²+y²=26 鎵浠²+y²=4 2銆佽繕鏄互AB涓偣涓哄師鐐 A(-a,0),B(a,0)M(x,y)MA/MB=2/1 鎵浠A²=4MB²鎵浠(x+a)²+y²=4[(x-...
绛旓細瑙ｏ細鍙寮B鐨勪腑鐐筈(x,y).鐢卞瀭寰勫畾鐞嗙煡锛孭Q鈯Q.===>[(y-3鈭3)/(x-1)]脳(y/x)=-1.===>x(x-1)+y(y-3鈭3)=0.===>杞ㄨ抗鏂圭▼涓猴細x²+y²-x-(3鈭3)y=0.鍐嶈仈绔嬩袱鏂圭▼姹傚緱-2锛渪锛22/7.鏁呰建杩规柟绋嬩负x²+y²-x-(3鈭3)y=0.(-2锛渪锛22/...
绛旓細绗竴棰橈紝鍏堣鍑 A鐐 鐨勫潗鏍囷紝鍐嶆牴鎹噸蹇冪殑鍧愭爣绛変簬涓変釜椤剁偣鐨勫潗鏍囧拰鐨勪笁鍒嗕箣涓鎶婇噸蹇冪殑鍧愭爣鐢ㄨ繖涓変釜 椤剁偣鍧愭爣 琛ㄧず鍑烘潵锛屽啀鏍规嵁鍙︿袱杈规墍鍦ㄧ殑 鐩寸嚎鐨勬枩鐜 涔嬬Н涓2姹傚畠鐨杞ㄨ抗锛岀瓟妗堜负X2- Y2 /2=1
