斜率k等于什么 什么是斜率k？
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\u5f53\u76f4\u7ebfL\u7684\u659c\u7387\u5b58\u5728\u65f6\uff0c\u5bf9\u4e8e\u4e00\u6b21\u51fd\u6570y=kx+b\uff08\u659c\u622a\u5f0f\uff09\uff0ck\u5373\u8be5\u51fd\u6570\u56fe\u50cf(\u76f4\u7ebf)\u7684\u659c\u7387\u3002\u5f53k>0\u65f6\uff0c\u76f4\u7ebf\u4e0ex\u8f74\u5939\u89d2\u8d8a\u5927\uff0c\u659c\u7387\u8d8a\u5927\uff1b\u5f53k<0\u65f6\uff0c\u76f4\u7ebf\u4e0ex\u8f74\u5939\u89d2\u8d8a\u5c0f\uff0c\u659c\u7387\u8d8a\u5c0f\u3002
\u6269\u5c55\u8d44\u6599\uff1a
\u5f53\u76f4\u7ebfL\u7684\u659c\u7387\u4e0d\u5b58\u5728\u65f6\uff0c\u659c\u622a\u5f0fy=kx+b\uff0c\u5f53k=0\u65f6\uff0cy=b\uff1b
\u5f53\u76f4\u7ebfL\u7684\u659c\u7387\u5b58\u5728\u65f6\uff0c\u70b9\u659c\u5f0fy2\u2014y1=k(X2\u2014X1\uff09\uff0c
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\u76f4\u7ebf\u659c\u7387\u516c\u5f0f\uff1ak=(y2-y1)/(x2-x1)
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\u7b54\uff1a\u4e00\u3001\u659c\u7387k\u7684\u5185\u6db5
1\u3001\u659c\u7387k\u662f\u8868\u793a\u4e00\u6761\u76f4\u7ebf\uff08\u6216\u66f2\u7ebf\u7684\u5207\u7ebf\uff09\u5173\u4e8e\uff08\u6a2a\uff09\u5750\u6807\u8f74\u503e\u659c\u7a0b\u5ea6\u7684\u91cf\u3002
2\u3001\u5b83\u901a\u5e38\u7528\u76f4\u7ebf\uff08\u6216\u66f2\u7ebf\u7684\u5207\u7ebf\uff09\u4e0e\uff08\u6a2a\uff09\u5750\u6807\u8f74\u5939\u89d2\u7684\u6b63\u5207\uff0c\u6216\u4e24\u70b9\u7684\u7eb5\u5750\u6807\u4e4b\u5dee\u4e0e\u6a2a\u5750\u6807\u4e4b\u5dee\u7684\u6bd4\u6765\u8868\u793a\u3002
3\u3001\u659c\u7387\u53c8\u79f0\u201c\u89d2\u7cfb\u6570\u201d\uff0c\u662f\u4e00\u6761\u76f4\u7ebf\u5bf9\u4e8e\u6a2a\u5750\u6807\u8f74\u6b63\u5411\u5939\u89d2\u7684\u6b63\u5207\uff0c\u53cd\u6620\u76f4\u7ebf\u5bf9\u6c34\u5e73\u9762\u7684\u503e\u659c\u5ea6\u3002
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\u4e8c\u3001\u659c\u7387\u7684\u5e94\u7528
1\u3001\u6c42\u76f4\u7ebf\u7684\u503e\u659c\u89d2\uff1b
2\u3001\u8bc1\u660e\u4e09\u70b9\u5171\u7ebf\uff1b
3\u3001\u6c42\u53c2\u6570\u7684\u8303\u56f4\uff1b
4\u3001\u6c42\u51fd\u6570\u7684\u503c\u57df\uff08\u6216\u6700\u503c\uff09\uff1b
5\u3001\u8bc1\u660e\u4e0d\u7b49\u5f0f\u3002
绛旓細k=-b/a锛宎x+by+c=0銆鏂滅巼锛鏄涓鏉＄洿绾胯〃绀哄叧浜庡绉拌酱鍊炬枩绋嬪害鐨勭墿鐞嗛噺銆傛枩鐜囦篃鍙仛鈥滆绯绘暟鈥濓紝鏄钩闈㈠潗鏍囩郴涓〃绀轰竴鏉＄洿绾垮妯潗鏍囪酱鐨勫炬枩绋嬪害鐨勭墿鐞嗛噺銆傛枩鐜囬氬父鐢ㄧ洿绾夸笌妯潗鏍囧す瑙掔殑姝ｅ垏鏉ヨ〃绀猴紝鍦ㄥ钩闈㈢洿瑙掑潗鏍囩郴涓竴鏉＄洿
绛旓細k=(y1-y2)/(x1-x2)銆傚湪鍒濅腑鐨勬暟瀛﹁鏈腑鍙煡锛鏂滅巼k鐨勫叕寮鏄枩鐜囨槸k=(y1-y2)/(x1-x2)銆傛枩鐜囨槸琛ㄧず骞抽潰鐩磋鍧愭爣绯讳腑琛ㄧず涓鏉＄洿绾垮妯潗鏍囪酱鐨勫炬枩绋嬪害鐨勯噺銆
绛旓細鐩寸嚎鏂滅巼鍏紡锛k=(y2-y1)/(x2-x1)锛涘鏋滅洿绾夸笌x杞村瀭鐩达紝鐩磋鐨勬鍒囧兼棤绌峰ぇ锛屾晠姝ょ洿绾夸笉瀛樺湪鏂滅巼銆傚綋鐩寸嚎L鐨勬枩鐜囧瓨鍦ㄦ椂锛屽浜庝竴娆″嚱鏁皔=kx+b锛堟枩鎴紡锛夛紝k鍗宠鍑芥暟鍥惧儚(鐩寸嚎)鐨勬枩鐜囥傜洿绾挎枩鐜囩畝浠嬶細鐩寸嚎鏂滅巼锛屽張绉颁负瑙掔郴鏁帮紝瀹冭〃绀虹殑鏄竴鏉＄洿绾跨浉瀵逛簬妯酱鐨勫炬枩绋嬪害銆傚綋鐩寸嚎鏂滅巼鐨勭粷瀵瑰艰秺澶ф椂...
绛旓細鏂滅巼k鎬庝箞姹傚涓嬶細鏂滅巼k鐨勫叕寮忎负锛氣渒=tan伪=鈻硑/鈻硏=锛坹2-y1锛/锛坸2-x1锛夋垨鑰咃紙y1-y2锛/锛坸1-x2锛夆濄傛枩鐜囦害绉扳滆绯绘暟鈥濓紝琛ㄧず鍦ㄥ钩闈㈢洿瑙掑潗鏍囩郴涓竴鏉＄洿绾垮妯潗鏍囪酱鐨勫炬枩绋嬪害鐨勯噺銆傜洿绾垮x杞寸殑鍊炬枩瑙捨辩殑姝ｅ垏鍊紅an伪绉颁负璇ョ洿绾跨殑鈥滄枩鐜団濇垨涓ょ偣鐨勭旱鍧愭爣涔嬪樊涓庢í鍧愭爣涔嬪樊鐨勬瘮鏉ヨ〃绀...
绛旓細鏂滅巼璁＄畻锛歛x+by+c=0涓紝k=-a/b銆傜洿绾挎枩鐜囧叕寮:k=(y2-y1)/(x2-x1)涓ゆ潯鍨傜洿鐩镐氦鐩寸嚎鐨勬枩鐜囩浉涔樼Н涓-1锛歬1*k2=-1銆傛洸绾縴=f(x)鍦ㄧ偣(x1,f(x1))澶勭殑鏂滅巼灏鏄鍑芥暟f(x)鍦ㄧ偣x1澶勭殑瀵兼暟 褰撶洿绾縇鐨勬枩鐜囧瓨鍦ㄦ椂锛屾枩鎴紡y=kx+b褰搆=0鏃 y=b锛涘綋鐩寸嚎L鐨勬枩鐜囧瓨鍦ㄦ椂锛岀偣鏂滃紡y2鈥攜1=k...
绛旓細3銆亅k|=tan伪=锛坹2-y1锛/锛坸2-x1锛4銆佸綋鐩寸嚎L鐨勬枩鐜囧瓨鍦ㄦ椂锛屾枩鎴紡y=kx+b褰搆=0鏃秠=b 5銆佸綋鐩寸嚎L鐨勬枩鐜囧瓨鍦ㄦ椂锛岀偣鏂滃紡y2鈥攜1=k(X2鈥擷1锛夛紝6銆佸綋鐩寸嚎L鍦ㄤ袱鍧愭爣杞翠笂瀛樺湪闈為浂鎴窛鏃讹紝鏈夋埅璺濆紡X/a+y/b=1 7銆佸浜庝换鎰忓嚱鏁颁笂浠绘剰涓鐐癸紝鍏鏂滅巼绛変簬鍏跺垏绾夸笌x杞存鏂瑰悜鐨勫す瑙掞紝鍗硉an...
绛旓細鐩寸嚎鏂滅巼k鐨勫叕寮忔槸K=tan伪銆傜洿绾挎枩鐜噆鐨勫叕寮忎负K=tan伪鎴栬卥=(y2-y1)/(x2-x1)锛屽叾涓(x1锛寉1)鍜(x2锛寉2)鏄洿绾夸笂鐨勪换鎰忎袱鐐广傝繖涓叕寮忚〃绀虹洿绾跨殑鏂滅巼绛変簬涓ょ偣闂寸旱鍧愭爣宸笌妯潗鏍囧樊涔嬪晢銆傛枩鐜囨弿杩颁簡鐩寸嚎鐨勫炬枩绋嬪害锛宬鍊艰秺澶ц〃绀虹洿绾胯秺闄″抄銆傚綋鐩寸嚎涓巟杞村钩琛屾椂锛屾枩鐜囦笉瀛樺湪锛涘綋鐩寸嚎涓巟杞村瀭鐩存椂...
绛旓細鏂滅巼涓鸿礋鏁扮殑鍥惧儚璁＄畻鏂滅巼锛1銆佸凡鐭ュ炬枩瑙抋锛鏂滅巼k=tana銆2銆佸凡鐭ヨ繃涓ょ偣锛坸1锛寉1锛夛紙x2锛寉2)锛屽垯鏂滅巼k=(y1-y2)/(x1-x2)銆3銆佸凡鐭ョ洿绾跨殑鏂瑰悜鍚戦噺锛坅,b锛夊垯鏂滅巼k=b/a銆鏂滅巼K=tan胃锛屽綋胃锛90搴︽槸锛屾枩鐜囦负璐燂紝褰撐革紲90搴︽槸鏂滅巼涓烘銆傚彲鐞嗚В涓哄炬枩鐨勭▼搴︼紝瀹冩槸涓鏉＄洿绾垮浜庢í鍧愭爣杞存鍚...
绛旓細鐩寸嚎鏂滅巼鍏紡锛k=(y2-y1)/(x2-x1)锛涘鏋滅洿绾夸笌x杞村瀭鐩达紝鐩磋鐨勬鍒囧兼棤绌峰ぇ锛屾晠姝ょ洿绾夸笉瀛樺湪鏂滅巼銆傚綋鐩寸嚎L鐨勬枩鐜囧瓨鍦ㄦ椂锛屽浜庝竴娆″嚱鏁皔=kx+b锛堟枩鎴紡锛夛紝k鍗宠鍑芥暟鍥惧儚(鐩寸嚎)鐨勬枩鐜囥傚綋鐩寸嚎L鐨勬枩鐜囦笉瀛樺湪鏃讹紝鏂滄埅寮弝=kx+b銆傚綋k=0鏃 y=b褰撶洿绾縇鐨勬枩鐜囧瓨鍦ㄦ椂锛岀偣鏂滃紡y2鈥攜1=k(X2鈥...
绛旓細鏂滅巼鍏紡鏄痥=tan伪锛宬=螖y/螖x銆傜洿绾挎枩鐜囧叕寮忥細k=(y2-y1)/(x2-x1)锛涘鏋滅洿绾夸笌x杞村瀭鐩达紝鐩磋鐨勬鍒囧兼棤绌峰ぇ锛屽綋鐩寸嚎L鐨勬枩鐜囧瓨鍦ㄦ椂锛屽浜庝竴娆″嚱鏁皔=kx+b锛堟枩鎴紡锛夛紝k鍗宠鍑芥暟鍥惧儚锛堢洿绾匡級鐨勬枩鐜囥傚綋鐩寸嚎涓嶄笌x杞村瀭鐩达紙鍊炬枩瑙捨扁墵90掳锛夋椂锛屼换鍙栫洿绾夸笂涓ょ偣A(a,b)銆丅(c,d)锛岀洿绾挎枩鐜...
