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LỚP 9 Toán cơ bản Ôn bài lý thuyết CHƯƠNG II. HÀM SỐ BẬC NHẤT 2.5. Hệ số góc của đường thẳng y = ax + b (a khác 0)
2.5. Hệ số góc của đường thẳng y = ax + b (a khác 0)
Nội dung chính
ÔN TẬP: HỆ SỐ GÓC CỦA ĐƯỜNG THẲNG Y = AX + B (A KHÁC 0)
KIẾN THỨC CẦN NHỚ
1. Khái niệm hệ số góc của đường thẳng
.
a) Góc hợp bởi đường thẳng ![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
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với trục ![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
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![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/png;base64,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)
:
Góc ![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
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hợp bởi trục ![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
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![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
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![](data:image/png;base64,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)
và nửa đường thẳng nằm trong nửa mặt phẳng bởi ![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/png;base64,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)
và chứa trục ![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
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.
– Khi ![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
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thì ![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
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là góc nhọn ![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
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.
– Khi ![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
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thì ![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
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![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAwAAAALCAYAAABLcGxfAAAA70lEQVQoU5XRoWuCQRjHcd1rEWbQv0Cw6hRUhGkcMpNtYRaxWOwmQRTB/0AcBrXYrHbLDIq4ZhFhiBjMS1O/v5d74YWx4MGHu3vuHu7uOa/nb7MIXU1YvTO2Q17X/gfGrygjgiOmGOICrV+cBE0GeMYbvpDBAll8Yo2kk1Bn0sU7JuZUrSnhhDlSKCkYwhk7RPFjEtT1UIQfL1gp4QkbfKDq2qxhCw2MUcGvEhLQ/coY/ZMQJ6532VXyYWmO75sEFSGPmZmH6b9hV0mLTeSwx8Ec/0ifxhZt6GqW+x8KBGIImKupCPq0IGrowH7DXe0GzuMvFGp43gEAAAAASUVORK5CYII=)
là góc tù ![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/png;base64,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)
.
![on-tap-ly-thuyet-tap-sgk-toan-lop-9-he-so-goc-cua-duong-thang-y-ax-b-a-khac-0](https://hocthattot.com/wp-content/uploads/2019/11/on-tap-ly-thuyet-tap-sgk-toan-lop-9-he-so-goc-cua-duong-thang-y-ax-b-a-khac-0.png)
![on-tap-ly-thuyet-tap-sgk-toan-lop-9-he-so-goc-cua-duong-thang-y-ax-b-a-khac-0](https://hocthattot.com/wp-content/uploads/2019/11/on-tap-ly-thuyet-tap-sgk-toan-lop-9-he-so-goc-cua-duong-thang-y-ax-b-a-khac-0.png)
b) Hệ số góc của đường thẳng y = ax + b.
Ứng với mỗi giá trị của hệ số ![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
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![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAoAAAALCAYAAABGbhwYAAAA1ElEQVQoU23QvwtBURjGcZTFKtsdpGwWi0UmKWURpWQhi0kpC4tZ8g8oRRnEYFAyGCT/AYuYZJLR6sf30blFOfXpveft6Zz3XKfjdznZitbL+Gzspr5daCEHL5Joo4CrHVRoiAAq2KOPEoI42cE6mw4SWJmrp1QLUTwV9OCAM2JqmjGO1DlqeCkYwg5d6GQtzXhDHmM1FNTRW2QwM0GdvIEfZawV9OGKFBbm2gk1CzcGKCqoF/dwwR1VNDBC3FTr+/eEaerVS2jmCNJo4vH9w814/8sbq7IoVBVO7OkAAAAASUVORK5CYII=)
trong hàm số y = ax + b, có một góc ![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
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![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAwAAAALCAYAAABLcGxfAAAA70lEQVQoU5XRoWuCQRjHcd1rEWbQv0Cw6hRUhGkcMpNtYRaxWOwmQRTB/0AcBrXYrHbLDIq4ZhFhiBjMS1O/v5d74YWx4MGHu3vuHu7uOa/nb7MIXU1YvTO2Q17X/gfGrygjgiOmGOICrV+cBE0GeMYbvpDBAll8Yo2kk1Bn0sU7JuZUrSnhhDlSKCkYwhk7RPFjEtT1UIQfL1gp4QkbfKDq2qxhCw2MUcGvEhLQ/coY/ZMQJ6532VXyYWmO75sEFSGPmZmH6b9hV0mLTeSwx8Ec/0ifxhZt6GqW+x8KBGIImKupCPq0IGrowH7DXe0GzuMvFGp43gEAAAAASUVORK5CYII=)
được xác định bởi đường thẳng y = ax + b và trục Ox.
Vì hệ số ![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
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![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAoAAAALCAYAAABGbhwYAAAA1ElEQVQoU23QvwtBURjGcZTFKtsdpGwWi0UmKWURpWQhi0kpC4tZ8g8oRRnEYFAyGCT/AYuYZJLR6sf30blFOfXpveft6Zz3XKfjdznZitbL+Gzspr5daCEHL5Joo4CrHVRoiAAq2KOPEoI42cE6mw4SWJmrp1QLUTwV9OCAM2JqmjGO1DlqeCkYwg5d6GQtzXhDHmM1FNTRW2QwM0GdvIEfZawV9OGKFBbm2gk1CzcGKCqoF/dwwR1VNDBC3FTr+/eEaerVS2jmCNJo4vH9w814/8sbq7IoVBVO7OkAAAAASUVORK5CYII=)
của ![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAsAAAALCAYAAACprHcmAAAA40lEQVQoU33Qr4sCQRjGcVcODAazlzQZDosgmAxGoxyiVbAciCAGk4LFoiBo8K/wkkEUq2DwB9jOoFmL3VO/zzIDa3Hhwzvv7DvvvjuO7/Xxkzr4N1H5A3eV6YWNFRYtbDDHCT8IIqkGtjhHUkMaURzMoTxxhSGaKtanpvjGFVlMUMYFVXS1ZzvrgDsXTwMdxLE3e26wxXZPh8ZI4dPT4KU4QfaBNc5YmnFUNMAvFuocwlEJ2tiihzq+zEi6gJv9Qd1rADvMEIGusIQM/vQJO3OMdREjM0aBGEZfHVXoLbb52/gE760sDLtFvwEAAAAASUVORK5CYII=)
có liên quan với góc ![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAwAAAALCAYAAABLcGxfAAAA70lEQVQoU5XRoWuCQRjHcd1rEWbQv0Cw6hRUhGkcMpNtYRaxWOwmQRTB/0AcBrXYrHbLDIq4ZhFhiBjMS1O/v5d74YWx4MGHu3vuHu7uOa/nb7MIXU1YvTO2Q17X/gfGrygjgiOmGOICrV+cBE0GeMYbvpDBAll8Yo2kk1Bn0sU7JuZUrSnhhDlSKCkYwhk7RPFjEtT1UIQfL1gp4QkbfKDq2qxhCw2MUcGvEhLQ/coY/ZMQJ6532VXyYWmO75sEFSGPmZmH6b9hV0mLTeSwx8Ec/0ifxhZt6GqW+x8KBGIImKupCPq0IGrowH7DXe0GzuMvFGp43gEAAAAASUVORK5CYII=)
hợp bởi đường thẳng ![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/png;base64,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)
và trục ![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
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![](data:image/png;base64,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)
nên người ta gọi ![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAoAAAALCAYAAABGbhwYAAAA1ElEQVQoU23QvwtBURjGcZTFKtsdpGwWi0UmKWURpWQhi0kpC4tZ8g8oRRnEYFAyGCT/AYuYZJLR6sf30blFOfXpveft6Zz3XKfjdznZitbL+Gzspr5daCEHL5Joo4CrHVRoiAAq2KOPEoI42cE6mw4SWJmrp1QLUTwV9OCAM2JqmjGO1DlqeCkYwg5d6GQtzXhDHmM1FNTRW2QwM0GdvIEfZawV9OGKFBbm2gk1CzcGKCqoF/dwwR1VNDBC3FTr+/eEaerVS2jmCNJo4vH9w814/8sbq7IoVBVO7OkAAAAASUVORK5CYII=)
là hệ số góc của đường thẳng ![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFUAAAAUCAYAAAD88XGTAAAEOUlEQVRYR+2YaahVVRiG77X0V2bh9OOKaJkSDiFOmII3za5eLXFEywnRKK1MESyjohRDRJxNEglS1JJIVFBxzCynjMS8Dv+U0H4kRGSFOT0PrKXbwzndfQ6nUDwbHvbea9rfetf3fWudU15WuoquQHnRR7x/BqzDVOUpqA/74tRLohbuBIrYK3R/jvvOkqh3ivkAr9fy1FeHXAhToRFcKol6W0HFuQ4K6z3tZb+j8CB0Si5KKfzLygoV1UX4Ez6DScmViKKacNvChODS5xONHua5OfyUdgmL0O5RxugOA+CNMF5mePam/An4C9ZCK5gDi+C7PGwoVNR2fOMEvAZN4SJ8osdGUd/h5SE4BlPgWStBsQ/COlgCN7IY64qlvfze1Voam/RXwvdwCvSCCzATdoe+w7i/FN7dLBy3HqyCzrA/0bY22woV9VUGXgE1oLAtYTVUOKBesRGq4H14F8wTivpk6KTXHMpiXRzoH+rkSkDh4rPlcTG8m9hzXT2p+Abmggvt9WGwSbFcdBf6AAwFvaMP7IIx0ACWwWT4+F++k6wqRFT7bAYd0UjSY9XMuVZbORC6wGw4Dj/AODBpj4Y1wdjfcxiZLS9bls2rHSJXuX2+gG7wGLgwlukNI6FhsEknMMyGB3te574ADMFH4HHYE9pmmtw+1LswRliMsvU8v5hh29+8X4ZbR6XEYPbX6dTsvVBuijwHc5KCRC8ZQYWea0dXvX8wJJ+dMXMyad4raPQzfA6jwgRdfUP/MAzKIpT2m56coPbnWrD4/b48PAN1wXShqI5hfvw19DdHK2YkipacQ9dg09Ph+9ZVwl6YkNyoZlDwFjQBvcRVPwvfwuDkiIln+3+Qoy5bse01MtvkNdBvvQmLQ+fW3M+AqeCjUGbfGAl65y/g5jQt1OsM+TiAY+2Afnn0m05bo8N0EyNYG0xtVVFU76psjjD8XHk3K13fJLw8GJx5s5+enfay/YYcjdtQfhrMkYavV9wMtMWIUXRztRE0CzzSbIKJ4Cah5+kQ+Zw5tWkLvABpF8PN0xQUv9OMZzdWc/vYZPjPp8Dc5eZjfpgH7rJOVo/9ry8NPAIu4Keg5w2BHmComusV19OJm5K51DqjSzu/AuewD7ZCbakgzkcNvgxjpBU1RpWLqa1GVkd4GWqSoho2VrpJbYfG0AJM/Gk/Fg0t9P48Hd3VXVhznAI6YSPHu/Zpp5unf2R4StABTA1/wCvgppOPvWrgkdEjWtp+9lHQ8UGnbdw9Of3mxKOoJmrDOOZH86k72VJ424b/4xV3ZCeotymiV3LCMW/G3JqtTVqTHcPN0I0yrahRu3gKuOO044sVHqoroQOcBA/R5iY9pbbDelrj7+Z2/oD4ulgGRlE9YP8IHl7NV54A/Bl4PwhaLC1vjZM8UlVT6g8Bfz8bDvmEQtENu5cHTG5U9/I87irbbwIn5OmkaecHnAAAAABJRU5ErkJggg==)
.
c) Lưu ý:
– Khi hệ số góc ![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/png;base64,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)
thì góc tạo bởi đường thẳng ![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/png;base64,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)
và trục ![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABkAAAARCAYAAAAougcOAAACFUlEQVQ4T72UO2hVQRCGvSoBCRjBLloJPoJFtDAiFmIi+EihhZIERRERJYKvcAuJaQQDPlC0CRa+IAQDQixERVEUFETwbaGFpYiNYCGBkGvyfZdZOF7uPSQWLnzsnj0788/OzDmFGf9hFHI0ZvLO9xugHh7Cb5iYblzVRNxbCX0wF35BCTbCVTgZYlPWqhQx+sNwDI7CnUzka1jfhu/QAn+mqpIVmYVRD5yGTfC4ipNTccNu5oHpiih2IAx7mftrONjJ/mCcO5S5Za5euomR34e3sBZGa1h1sT8ED6A9UmYG3F8KL+ARbIU5cAtKiliH43AOrsG+nLC84YkQ2sWswDt4BW/gDFyIYBuYN0OnIrPBrtkNRThfQ8Szw7AjnCnWAdsDg7UL78E2GIOn0Kqh0XyEJmiDJzVEFkTEjcyrY22Kt4DfziL4CnblpfClSDldioyH43nMfhfVRuosb70/HGfP7eHhBiyDL9kXqSYf2FwegtX6fzHvzL3BLIEf4UT71DxXWHvDFaAP9/X5KR26yMOROGQRs8Ncvw7jdczPw4n7rhW3Pu/hGXgjh2nXrpiimM+DH18z2I4WOEViG34GP8B0A52kGtSxPgsL4RtYExtiPfgtlWuShoU9CP6bHD/hJVyHEQ9nzrrU1o7cC3fhMtjiq+BmULap/Hel9JkKO8bc5v1103nPiHaOv+qa96uvCPzfHycBwzdxFZ6lZZEAAAAASUVORK5CYII=)
là góc nhọn.
Hệ số ![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAoAAAALCAYAAABGbhwYAAAA1ElEQVQoU23QvwtBURjGcZTFKtsdpGwWi0UmKWURpWQhi0kpC4tZ8g8oRRnEYFAyGCT/AYuYZJLR6sf30blFOfXpveft6Zz3XKfjdznZitbL+Gzspr5daCEHL5Joo4CrHVRoiAAq2KOPEoI42cE6mw4SWJmrp1QLUTwV9OCAM2JqmjGO1DlqeCkYwg5d6GQtzXhDHmM1FNTRW2QwM0GdvIEfZawV9OGKFBbm2gk1CzcGKCqoF/dwwR1VNDBC3FTr+/eEaerVS2jmCNJo4vH9w814/8sbq7IoVBVO7OkAAAAASUVORK5CYII=)
càng lớn thì góc ![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAwAAAALCAYAAABLcGxfAAAA70lEQVQoU5XRoWuCQRjHcd1rEWbQv0Cw6hRUhGkcMpNtYRaxWOwmQRTB/0AcBrXYrHbLDIq4ZhFhiBjMS1O/v5d74YWx4MGHu3vuHu7uOa/nb7MIXU1YvTO2Q17X/gfGrygjgiOmGOICrV+cBE0GeMYbvpDBAll8Yo2kk1Bn0sU7JuZUrSnhhDlSKCkYwhk7RPFjEtT1UIQfL1gp4QkbfKDq2qxhCw2MUcGvEhLQ/coY/ZMQJ6532VXyYWmO75sEFSGPmZmH6b9hV0mLTeSwx8Ec/0ifxhZt6GqW+x8KBGIImKupCPq0IGrowH7DXe0GzuMvFGp43gEAAAAASUVORK5CYII=)
càng lớn nhưng vẫn nhỏ hơn ![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/png;base64,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)
.
– Khi hệ số góc ![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/png;base64,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)
thì góc tạo bởi đường thẳng ![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/png;base64,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)
và trục ![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/png;base64,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)
là góc tù.
Hệ số ![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAoAAAALCAYAAABGbhwYAAAA1ElEQVQoU23QvwtBURjGcZTFKtsdpGwWi0UmKWURpWQhi0kpC4tZ8g8oRRnEYFAyGCT/AYuYZJLR6sf30blFOfXpveft6Zz3XKfjdznZitbL+Gzspr5daCEHL5Joo4CrHVRoiAAq2KOPEoI42cE6mw4SWJmrp1QLUTwV9OCAM2JqmjGO1DlqeCkYwg5d6GQtzXhDHmM1FNTRW2QwM0GdvIEfZawV9OGKFBbm2gk1CzcGKCqoF/dwwR1VNDBC3FTr+/eEaerVS2jmCNJo4vH9w814/8sbq7IoVBVO7OkAAAAASUVORK5CYII=)
càng lớn thì góc ![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAwAAAALCAYAAABLcGxfAAAA70lEQVQoU5XRoWuCQRjHcd1rEWbQv0Cw6hRUhGkcMpNtYRaxWOwmQRTB/0AcBrXYrHbLDIq4ZhFhiBjMS1O/v5d74YWx4MGHu3vuHu7uOa/nb7MIXU1YvTO2Q17X/gfGrygjgiOmGOICrV+cBE0GeMYbvpDBAll8Yo2kk1Bn0sU7JuZUrSnhhDlSKCkYwhk7RPFjEtT1UIQfL1gp4QkbfKDq2qxhCw2MUcGvEhLQ/coY/ZMQJ6532VXyYWmO75sEFSGPmZmH6b9hV0mLTeSwx8Ec/0ifxhZt6GqW+x8KBGIImKupCPq0IGrowH7DXe0GzuMvFGp43gEAAAAASUVORK5CYII=)
càng lớn nhưng vẫn nhỏ hơn ![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/png;base64,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)
.
![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](https://hocthattot.com/wp-content/uploads/2019/10/vidu.png)
BÀI TẬP VÍ DỤ
![](https://hocthattot.com/wp-content/uploads/2019/10/vidu.png)
Ví dụ: Cho hàm số
a) Vẽ đồ thị hàm số.
b) Tính góc tạo bởi đường thẳng
Bài giải:
a) Vẽ đồ thị hàm số
- Cho
, tính được . Ta xác định được điểm - Cho
, tính được . Ta xác định được điểm
Đồ thị hàm số
b) Gọi
Ta có
Xét tam giác vuông
![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](https://hocthattot.com/wp-content/uploads/2019/10/vandung.png)
BÀI TẬP VẬN DỤNG
![](https://hocthattot.com/wp-content/uploads/2019/10/vandung.png)
![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](https://hocthattot.com/wp-content/uploads/2019/10/coban.png)
BÀI TẬP CƠ BẢN
![](https://hocthattot.com/wp-content/uploads/2019/10/coban.png)
Bài 1:
Bài 2:
![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](https://hocthattot.com/wp-content/uploads/2019/10/nangcao.png)
BÀI TẬP NÂNG CAO
![](https://hocthattot.com/wp-content/uploads/2019/10/nangcao.png)
Bài 1:
Bài 2:
Trên đây là các kiến thức cần nhớ và các bài tập ví dụ minh họa về nội dung của bài học Hệ số góc của đường thẳng y = ax + b (a khác 0) – toán cơ bản lớp 9.
Chúc các em học tập hiệu quả!